From 218a387c6191311ed29b1aa81612e0aa3b4fa9dc Mon Sep 17 00:00:00 2001
From: zhongshujie <2862698242@qq.com>
Date: 星期三, 16 十月 2024 18:03:13 +0800
Subject: [PATCH] Merge branch 'master' of http://182.92.203.7:2001/r/testbookLayout
---
src/books/mathBook/assets/images/0121-2.jpg | 0
src/books/mathBook/assets/images/0105-1.jpg | 0
src/books/mathBook/assets/images/0197-4.jpg | 0
src/books/mathBook/assets/images/0023-2.jpg | 0
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src/books/mathBook/assets/images/0208-4.jpg | 0
src/books/mathBook/assets/images/0030-2.jpg | 0
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src/books/mathBook/assets/images/0135-3.jpg | 0
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src/books/mathBook/assets/images/gn.jpg | 0
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src/books/mathBook/assets/images/0074-1.jpg | 0
src/books/mathBook/assets/images/0022-1.jpg | 0
src/books/mathBook/assets/images/0112-1.jpg | 0
src/books/mathBook/assets/images/0111-4.jpg | 0
src/books/mathBook/view/components/chapter003.vue | 2944 +++++++
src/books/mathBook/assets/images/0088-1.jpg | 0
src/books/mathBook/assets/images/0194-14.jpg | 0
src/books/mathBook/assets/images/0207-4.jpg | 0
src/books/mathBook/assets/images/0028-2.jpg | 0
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src/books/mathBook/assets/images/0220-3.jpg | 0
src/books/mathBook/assets/images/0174-6.jpg | 0
src/books/mathBook/assets/images/0196-15.jpg | 0
src/books/mathBook/assets/images/0215-8.jpg | 0
src/books/mathBook/assets/images/0137-7.jpg | 0
src/components/examinations/index.vue | 18
src/assets/methods/resources.js | 2
src/books/mathBook/assets/images/0181-6.jpg | 0
src/books/mathBook/assets/images/0097-3.jpg | 0
src/books/mathBook/assets/images/0071-2.jpg | 0
src/books/mathBook/assets/images/0031-2.jpg | 0
src/books/mathBook/assets/images/0200-2.jpg | 0
src/books/mathBook/assets/images/0168-3.jpg | 0
src/books/mathBook/assets/images/0019-1.jpg | 0
src/books/mathBook/assets/images/0099-1.jpg | 0
src/books/mathBook/assets/images/dy4.jpg | 0
src/books/mathBook/assets/images/gcsk.jpg | 0
src/books/mathBook/assets/images/0083-2.jpg | 0
src/books/mathBook/assets/images/0215-1.jpg | 0
src/books/mathBook/assets/images/0197-1.jpg | 0
src/books/mathBook/assets/images/0212-9.jpg | 0
src/books/mathBook/assets/images/0117-1.jpg | 0
src/books/mathBook/assets/images/0175-6.jpg | 0
src/books/mathBook/assets/images/0197-3.jpg | 0
src/books/mathBook/assets/images/0215-5.jpg | 0
src/books/mathBook/assets/images/0104-3.jpg | 0
src/books/mathBook/assets/images/0086-1.jpg | 0
src/books/mathBook/assets/images/0174-3.jpg | 0
src/books/mathBook/assets/images/0183-4.jpg | 0
src/books/mathBook/assets/images/0206-2.jpg | 0
src/books/mathBook/assets/images/0030-1.jpg | 0
src/books/mathBook/assets/images/0050-8.jpg | 0
src/books/mathBook/view/components/sample.vue | 733 +
src/books/mathBook/assets/images/0072-4.jpg | 0
src/books/mathBook/assets/images/0053-1.jpg | 0
src/books/mathBook/assets/images/0176-11.jpg | 0
src/books/mathBook/assets/images/0033-1.jpg | 0
src/books/mathBook/assets/images/0167-1.jpg | 0
src/books/mathBook/assets/images/0029-1.jpg | 0
src/books/mathBook/assets/images/0049-1.jpg | 0
src/books/mathBook/assets/images/0090-1.jpg | 0
src/books/mathBook/assets/images/0175-2.jpg | 0
src/books/mathBook/assets/images/0134-5.jpg | 0
src/books/mathBook/assets/images/0159-1.jpg | 0
src/books/mathBook/assets/images/0057-2.jpg | 0
src/books/mathBook/assets/images/0208-3.jpg | 0
src/books/mathBook/view/components/chapter004.vue | 6003 +++++++++++++++
src/books/mathBook/assets/images/0070-3.jpg | 0
src/books/mathBook/assets/images/0106-4.jpg | 0
src/books/mathBook/assets/images/0176-8.jpg | 0
src/books/mathBook/assets/images/0115-2.jpg | 0
src/books/mathBook/assets/images/0202-1.jpg | 0
src/books/mathBook/assets/images/0185-4.jpg | 0
src/books/mathBook/assets/images/0072-8.jpg | 0
src/books/mathBook/assets/images/0116-2.jpg | 0
src/books/mathBook/assets/images/0191-5.jpg | 0
src/books/mathBook/assets/images/0005-1.jpg | 0
src/books/mathBook/assets/images/0031-1.jpg | 0
src/books/mathBook/assets/images/0172-2.jpg | 0
src/books/mathBook/assets/images/0055-1.jpg | 0
src/books/mathBook/assets/images/0175-3.jpg | 0
src/books/mathBook/assets/images/0136-1.jpg | 0
src/books/mathBook/assets/images/0034-2.jpg | 0
src/books/mathBook/assets/images/dy5.jpg | 0
src/books/mathBook/assets/images/0028-1.jpg | 0
src/books/mathBook/assets/images/0166-1.jpg | 0
src/books/mathBook/assets/images/0201-1.jpg | 0
src/books/mathBook/assets/images/0220-4.jpg | 0
src/books/mathBook/assets/images/0056-6.jpg | 0
src/books/mathBook/assets/images/0197-7.jpg | 0
src/books/mathBook/assets/images/0219-1.jpg | 0
src/books/mathBook/assets/images/0004-1.jpg | 0
src/books/mathBook/assets/images/0032-1.jpg | 0
src/books/mathBook/assets/images/0148-3.jpg | 0
src/books/mathBook/assets/images/0173-2.jpg | 0
src/books/mathBook/assets/images/0087-2.jpg | 0
src/books/mathBook/assets/images/0109-1.jpg | 0
src/books/mathBook/assets/images/0063-2.jpg | 0
src/books/mathBook/assets/images/0175-7.jpg | 0
src/books/mathBook/assets/images/0200-1.jpg | 0
src/books/mathBook/assets/images/0168-2.jpg | 0
src/books/mathBook/assets/images/0027-1.jpg | 0
src/books/mathBook/assets/main.less | 14
src/books/mathBook/assets/images/0195-6.jpg | 0
src/App.vue | 2
src/books/mathBook/assets/images/0179-4.jpg | 0
src/books/mathBook/assets/images/0214-4.jpg | 0
src/books/mathBook/assets/images/0168-1.jpg | 0
src/books/mathBook/assets/images/0062-3.jpg | 0
src/books/mathBook/assets/images/0142-8.jpg | 0
src/books/mathBook/assets/images/0180-3.jpg | 0
src/books/mathBook/view/components/index.vue | 34
src/books/mathBook/assets/images/0197-2.jpg | 0
src/books/mathBook/assets/images/0104-2.jpg | 0
src/books/mathBook/assets/images/0108-1.jpg | 0
src/books/mathBook/assets/images/0151-2.jpg | 0
src/books/mathBook/assets/images/0201-5.jpg | 0
src/books/mathBook/assets/images/0086-2.jpg | 0
src/books/mathBook/assets/images/0099-2.jpg | 0
src/books/mathBook/view/components/chapter005.vue | 9400 ++++++++++++++++++++++++
src/books/mathBook/assets/images/0098-5.jpg | 0
src/books/mathBook/assets/images/0175-8.jpg | 0
src/books/mathBook/assets/images/0206-1.jpg | 0
src/books/mathBook/assets/images/0097-1.jpg | 0
src/books/mathBook/assets/images/0088-3.jpg | 0
src/books/mathBook/assets/images/0059-6.jpg | 0
src/books/mathBook/assets/images/0196-16.jpg | 0
src/books/mathBook/assets/images/0202-2.jpg | 0
src/books/mathBook/assets/images/0175-1.jpg | 0
src/books/mathBook/assets/images/0066-11.jpg | 0
src/books/mathBook/assets/images/0197-6.jpg | 0
src/books/mathBook/assets/images/0140-3.jpg | 0
src/books/mathBook/assets/images/0028-3.jpg | 0
src/books/mathBook/assets/images/0215-6.jpg | 0
src/books/mathBook/assets/images/0057-1.jpg | 0
src/books/mathBook/assets/images/0208-2.jpg | 0
src/books/mathBook/assets/images/0207-5.jpg | 0
src/books/mathBook/assets/images/0077-1.jpg | 0
src/books/mathBook/assets/images/0070-4.jpg | 0
src/books/mathBook/assets/images/0136-2.jpg | 0
src/books/mathBook/assets/images/0137-9.jpg | 0
src/books/mathBook/assets/images/0123-1.jpg | 0
src/books/mathBook/assets/images/0058-1.jpg | 0
src/books/mathBook/assets/images/0091-1.jpg | 0
src/books/mathBook/assets/images/0201-2.jpg | 0
src/books/mathBook/assets/images/0106-3.jpg | 0
src/books/mathBook/assets/images/zshg.jpg | 0
src/books/mathBook/assets/images/0204-3.jpg | 0
src/books/mathBook/view/components/chapter001.vue | 792 -
src/books/mathBook/assets/images/0116-1.jpg | 0
src/books/mathBook/assets/images/0098-1.jpg | 0
src/books/mathBook/assets/images/0163-1.jpg | 0
src/books/mathBook/assets/images/0175-4.jpg | 0
src/books/mathBook/assets/images/0109-2.jpg | 0
src/books/mathBook/assets/images/0149-2.jpg | 0
src/books/mathBook/assets/images/0063-3.jpg | 0
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src/books/mathBook/assets/images/0024-1.jpg | 0
src/books/mathBook/assets/images/0169-1.jpg | 0
src/books/mathBook/assets/images/0189-9.jpg | 0
src/books/mathBook/assets/images/0080-1.jpg | 0
src/books/mathBook/assets/images/0214-5.jpg | 0
src/books/mathBook/assets/images/0150-1.jpg | 0
src/books/mathBook/assets/images/0178-7.jpg | 0
src/books/mathBook/assets/images/0196-13.jpg | 0
src/books/mathBook/assets/images/0092-1.jpg | 0
src/books/mathBook/assets/images/0181-4.jpg | 0
src/books/mathBook/assets/images/0190-25.jpg | 0
src/books/mathBook/assets/images/0175-9.jpg | 0
src/books/mathBook/assets/images/0134-3.jpg | 0
src/books/mathBook/assets/images/0096-1.jpg | 0
src/books/mathBook/assets/images/0151-1.jpg | 0
src/books/mathBook/assets/images/dy2.jpg | 0
src/books/mathBook/assets/images/0093-1.jpg | 0
src/books/mathBook/assets/images/0023-1.jpg | 0
src/books/mathBook/assets/images/0028-4.jpg | 0
src/books/mathBook/assets/images/0104-1.jpg | 0
src/books/mathBook/assets/images/0183-2.jpg | 0
src/books/mathBook/assets/images/0201-4.jpg | 0
src/books/mathBook/assets/images/0022-2.jpg | 0
src/books/mathBook/assets/images/0089-1.jpg | 0
src/books/mathBook/assets/images/0207-6.jpg | 0
src/books/mathBook/assets/images/0069-1.jpg | 0
src/books/mathBook/assets/images/0215-7.jpg | 0
src/books/mathBook/assets/images/0179-1.jpg | 0
src/books/mathBook/assets/images/0119-1.jpg | 0
src/books/mathBook/assets/images/0097-2.jpg | 0
src/books/mathBook/assets/images/0068-2.jpg | 0
src/books/mathBook/assets/images/0030-3.jpg | 0
src/books/mathBook/assets/images/0082-2.jpg | 0
src/books/mathBook/assets/images/0059-5.jpg | 0
src/books/mathBook/assets/images/0135-2.jpg | 0
src/books/mathBook/assets/images/0109-4.jpg | 0
src/books/mathBook/assets/images/0177-5.jpg | 0
src/books/mathBook/assets/images/0068-1.jpg | 0
src/books/mathBook/assets/images/0192-23.jpg | 0
src/books/mathBook/assets/images/0196-14.jpg | 0
src/books/mathBook/assets/images/0071-1.jpg | 0
src/books/mathBook/assets/images/0090-4.jpg | 0
src/books/mathBook/view/components/chapter002.vue | 2685 ++++++
src/books/mathBook/assets/images/0175-5.jpg | 0
src/books/mathBook/assets/images/0208-1.jpg | 0
src/books/mathBook/assets/images/0024-2.jpg | 0
src/books/mathBook/assets/images/0199-1.jpg | 0
src/books/mathBook/assets/images/0112-3.jpg | 0
src/books/mathBook/assets/images/0137-8.jpg | 0
src/books/mathBook/assets/images/0183-1.jpg | 0
src/books/mathBook/assets/images/0038-1.jpg | 0
src/books/mathBook/assets/images/0077-3.jpg | 0
src/books/mathBook/assets/images/0176-1.jpg | 0
src/books/mathBook/assets/images/0177-1.jpg | 0
src/books/mathBook/view/components/header.vue | 37
src/books/mathBook/assets/images/0121-4.jpg | 0
src/books/mathBook/assets/images/0215-2.jpg | 0
src/books/mathBook/assets/images/FD.jpg | 0
src/books/mathBook/assets/images/0149-1.jpg | 0
src/books/mathBook/assets/images/0063-4.jpg | 0
src/books/mathBook/assets/images/0095-1.jpg | 0
src/books/mathBook/assets/images/0133-2.jpg | 0
/dev/null | 0
src/books/mathBook/assets/images/fxlj.jpg | 0
src/books/mathBook/assets/images/0207-1.jpg | 0
src/books/mathBook/assets/images/0080-2.jpg | 0
src/books/mathBook/assets/images/0182-1.jpg | 0
src/books/mathBook/assets/images/0113-3.jpg | 0
src/books/mathBook/assets/images/0105-2.jpg | 0
src/books/mathBook/assets/images/0067-1.jpg | 0
238 files changed, 21,316 insertions(+), 1,348 deletions(-)
diff --git a/src/App.vue b/src/App.vue
index c598bd8..5784617 100644
--- a/src/App.vue
+++ b/src/App.vue
@@ -68,7 +68,7 @@
process.env.VUE_APP_RESOURCE_CTX +
(process.env.VUE_APP_ENV == "product"
? process.env.VUE_APP_BOOK_ID
- : "sportsAndHealth")
+ : "mathBook")
);
// this.activeBook = await this.config.getBookConfig(
// 'http://182.92.203.7:3007/books/resource/'+
diff --git a/src/assets/methods/resources.js b/src/assets/methods/resources.js
index 74e4315..c51f776 100644
--- a/src/assets/methods/resources.js
+++ b/src/assets/methods/resources.js
@@ -1,5 +1,6 @@
import fileApi from "@/assets/js/middleGround/api/file";
import identityApi from "../js/middleGround/api/identity";
+import { tokenKey } from "../js/config";
export const getResourcePath = async (md5, appRefCode = "jingshieke") => {
let path = "";
await fileApi
@@ -18,6 +19,7 @@
};
// 鑾峰彇鏀惰棌鐨勮祫婧�
export const getCollectResource = async (key) => {
+ if(!localStorage.getItem(tokenKey)) return []
let list = []
await identityApi
.getUserKey({
diff --git a/src/books/mathBook/assets/imgs/0004-1.jpg b/src/books/mathBook/assets/images/0004-1.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0004-1.jpg
rename to src/books/mathBook/assets/images/0004-1.jpg
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diff --git a/src/books/mathBook/assets/imgs/0005-1.jpg b/src/books/mathBook/assets/images/0005-1.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0005-1.jpg
rename to src/books/mathBook/assets/images/0005-1.jpg
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diff --git a/src/books/mathBook/assets/imgs/0019-1.jpg b/src/books/mathBook/assets/images/0019-1.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0019-1.jpg
rename to src/books/mathBook/assets/images/0019-1.jpg
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diff --git a/src/books/mathBook/assets/imgs/0022-1.jpg b/src/books/mathBook/assets/images/0022-1.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0022-1.jpg
rename to src/books/mathBook/assets/images/0022-1.jpg
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diff --git a/src/books/mathBook/assets/imgs/0022-2.jpg b/src/books/mathBook/assets/images/0022-2.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0022-2.jpg
rename to src/books/mathBook/assets/images/0022-2.jpg
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diff --git a/src/books/mathBook/assets/imgs/0023-1.jpg b/src/books/mathBook/assets/images/0023-1.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0023-1.jpg
rename to src/books/mathBook/assets/images/0023-1.jpg
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diff --git a/src/books/mathBook/assets/imgs/0023-2.jpg b/src/books/mathBook/assets/images/0023-2.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0023-2.jpg
rename to src/books/mathBook/assets/images/0023-2.jpg
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diff --git a/src/books/mathBook/assets/imgs/0024-1.jpg b/src/books/mathBook/assets/images/0024-1.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0024-1.jpg
rename to src/books/mathBook/assets/images/0024-1.jpg
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diff --git a/src/books/mathBook/assets/imgs/0024-2.jpg b/src/books/mathBook/assets/images/0024-2.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0024-2.jpg
rename to src/books/mathBook/assets/images/0024-2.jpg
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diff --git a/src/books/mathBook/assets/imgs/0027-1.jpg b/src/books/mathBook/assets/images/0027-1.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0027-1.jpg
rename to src/books/mathBook/assets/images/0027-1.jpg
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diff --git a/src/books/mathBook/assets/imgs/0028-1.jpg b/src/books/mathBook/assets/images/0028-1.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0028-1.jpg
rename to src/books/mathBook/assets/images/0028-1.jpg
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diff --git a/src/books/mathBook/assets/imgs/0028-2.jpg b/src/books/mathBook/assets/images/0028-2.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0028-2.jpg
rename to src/books/mathBook/assets/images/0028-2.jpg
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diff --git a/src/books/mathBook/assets/imgs/0028-3.jpg b/src/books/mathBook/assets/images/0028-3.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0028-3.jpg
rename to src/books/mathBook/assets/images/0028-3.jpg
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diff --git a/src/books/mathBook/assets/imgs/0028-4.jpg b/src/books/mathBook/assets/images/0028-4.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0028-4.jpg
rename to src/books/mathBook/assets/images/0028-4.jpg
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diff --git a/src/books/mathBook/assets/imgs/0029-1.jpg b/src/books/mathBook/assets/images/0029-1.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0029-1.jpg
rename to src/books/mathBook/assets/images/0029-1.jpg
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diff --git a/src/books/mathBook/assets/imgs/0030-1.jpg b/src/books/mathBook/assets/images/0030-1.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0030-1.jpg
rename to src/books/mathBook/assets/images/0030-1.jpg
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diff --git a/src/books/mathBook/assets/imgs/0030-2.jpg b/src/books/mathBook/assets/images/0030-2.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0030-2.jpg
rename to src/books/mathBook/assets/images/0030-2.jpg
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diff --git a/src/books/mathBook/assets/imgs/0030-3.jpg b/src/books/mathBook/assets/images/0030-3.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0030-3.jpg
rename to src/books/mathBook/assets/images/0030-3.jpg
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diff --git a/src/books/mathBook/assets/imgs/0031-1.jpg b/src/books/mathBook/assets/images/0031-1.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0031-1.jpg
rename to src/books/mathBook/assets/images/0031-1.jpg
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diff --git a/src/books/mathBook/assets/imgs/0031-2.jpg b/src/books/mathBook/assets/images/0031-2.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0031-2.jpg
rename to src/books/mathBook/assets/images/0031-2.jpg
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diff --git a/src/books/mathBook/assets/imgs/0032-1.jpg b/src/books/mathBook/assets/images/0032-1.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0032-1.jpg
rename to src/books/mathBook/assets/images/0032-1.jpg
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diff --git a/src/books/mathBook/assets/imgs/0033-1.jpg b/src/books/mathBook/assets/images/0033-1.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0033-1.jpg
rename to src/books/mathBook/assets/images/0033-1.jpg
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diff --git a/src/books/mathBook/assets/imgs/0034-1.jpg b/src/books/mathBook/assets/images/0034-1.jpg
similarity index 100%
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rename to src/books/mathBook/assets/images/0034-1.jpg
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diff --git a/src/books/mathBook/assets/imgs/0034-2.jpg b/src/books/mathBook/assets/images/0034-2.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0034-2.jpg
rename to src/books/mathBook/assets/images/0034-2.jpg
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diff --git a/src/books/mathBook/assets/imgs/0038-1.jpg b/src/books/mathBook/assets/images/0038-1.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0038-1.jpg
rename to src/books/mathBook/assets/images/0038-1.jpg
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diff --git a/src/books/mathBook/assets/imgs/0049-1.jpg b/src/books/mathBook/assets/images/0049-1.jpg
similarity index 100%
rename from src/books/mathBook/assets/imgs/0049-1.jpg
rename to src/books/mathBook/assets/images/0049-1.jpg
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diff --git a/src/books/mathBook/assets/imgs/0049-2.jpg b/src/books/mathBook/assets/images/0049-2.jpg
similarity index 100%
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rename to src/books/mathBook/assets/images/0049-2.jpg
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+++ /dev/null
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+++ /dev/null
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--- a/src/books/mathBook/assets/imgs/stlx.jpg
+++ /dev/null
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index ac9fe80..0000000
--- a/src/books/mathBook/assets/imgs/tbts.jpg
+++ /dev/null
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deleted file mode 100644
index 6c5c188..0000000
--- a/src/books/mathBook/assets/imgs/tjfx.jpg
+++ /dev/null
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diff --git a/src/books/mathBook/assets/imgs/wttc.jpg b/src/books/mathBook/assets/imgs/wttc.jpg
deleted file mode 100644
index 98ad962..0000000
--- a/src/books/mathBook/assets/imgs/wttc.jpg
+++ /dev/null
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diff --git a/src/books/mathBook/assets/imgs/xxmb.jpg b/src/books/mathBook/assets/imgs/xxmb.jpg
deleted file mode 100644
index 3fdd816..0000000
--- a/src/books/mathBook/assets/imgs/xxmb.jpg
+++ /dev/null
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diff --git a/src/books/mathBook/assets/main.less b/src/books/mathBook/assets/main.less
index 6be7c28..04482be 100644
--- a/src/books/mathBook/assets/main.less
+++ b/src/books/mathBook/assets/main.less
@@ -256,7 +256,7 @@
width: 80%;
}
.img-c {
- width: 70%;
+ width: 30%;
}
.img-d {
width: 60%;
@@ -384,7 +384,6 @@
div.bk {
border: 2px solid #00a1e9;
- padding: 0.8em;
margin-bottom: 2em;
margin-top: 2em;
box-shadow: inset -0.5em -0.5em 0 0 #e0f2fc;
@@ -624,6 +623,9 @@
justify-content: center;
font-weight: 600;
}
+ span {
+ white-space: nowrap;
+ }
}
}
.page-header-odd {
@@ -689,6 +691,9 @@
}
.mt-40 {
margin-top: 40px;
+ }
+ .mt-80 {
+ margin-top: 80px !important;
}
.mb-80 {
margin-bottom: 80px !important;
@@ -833,6 +838,11 @@
color: #00aeef;
margin-top: 40px;
}
+ // 闅愯棌椤甸潰
+ .hidePage {
+ min-height: 0 !important;
+ height: 0 !important;
+ }
}
/* 濯掍綋鏌ヨ鍋氬熀纭�鍝嶅簲寮忓竷灞� */
diff --git a/src/books/mathBook/view/components/chapter001.vue b/src/books/mathBook/view/components/chapter001.vue
index e3a7df2..b4dd80b 100644
--- a/src/books/mathBook/view/components/chapter001.vue
+++ b/src/books/mathBook/view/components/chapter001.vue
@@ -58,7 +58,7 @@
<h3>1.1.1 闆嗗悎涓庡厓绱�<span class="fontsz2">锛烇紴锛�</span></h3>
<p class="left">
- <img class="img-gn" alt="" src="../../assets/imgs/gcsk.jpg" />
+ <img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" />
</p>
<span> 瑙傚療鍑犵粍瀵硅薄锛� </span>
@@ -71,7 +71,7 @@
<p>锛�5锛� 鍒颁竴涓鐨勪袱杈硅窛绂荤浉绛夌殑鎵�鏈夌偣.</p>
<p class="left">
- <img class="img-gn" alt="" src="../../assets/imgs/fxlj.jpg" />
+ <img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
</p>
<p>
@@ -85,14 +85,14 @@
<div class="bk">
<div class="bj1">
<p class="left">
- <img class="img-gn1" alt="" src="../../assets/imgs/gn.jpg" />
+ <img class="img-gn1" alt="" src="../../assets/images/gn.jpg" />
</p>
</div>
<p class="block">闆嗗悎</p>
<p class="block">闆嗗悎涓庡厓绱�</p>
</div>
<p class="left">
- <img class="img-gn" alt="" src="../../assets/imgs/cxgk.jpg" />
+ <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
</p>
<p>
@@ -285,7 +285,7 @@
<div class="bj">
<examinations :cardList="questionData[11]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
- v-if="questionData" :isReal="false"></examinations>
+ v-if="questionData" ></examinations>
</div>
</div>
</div>
@@ -302,17 +302,11 @@
</li>
</ul>
<div class="padding-116">
- <div class="bj">
- <examinations :cardList="questionData[12]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
- v-if="questionData" :isReal="false"></examinations>
- </div>
-
<h3>1.1.2 甯歌闆嗗悎<span class="fontsz2">锛烇紴锛�</span></h3>
-
<div class="bk">
<div class="bj1">
<p class="left">
- <img class="img-gn1" alt="" src="../../assets/imgs/gn.jpg" />
+ <img class="img-gn1" alt="" src="../../assets/images/gn.jpg" />
</p>
</div>
<p class="block">鏈夐檺闆�</p>
@@ -320,7 +314,7 @@
<p class="block">绌洪泦</p>
</div>
<p class="left">
- <img class="img-gn" alt="" src="../../assets/imgs/fxlj.jpg" />
+ <img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
</p>
<p>
鍦ㄤ笂鑺備緥锛�1锛�
@@ -411,7 +405,7 @@
<div class="bk">
<div class="bj1">
<p class="left">
- <img class="img-gn1" alt="" src="../../assets/imgs/zshg.jpg" />
+ <img class="img-gn1" alt="" src="../../assets/images/zshg.jpg" />
</p>
</div>
<p class="block">鏈夌悊鏁帮細鏁存暟鍜屽垎鏁扮殑缁熺О锛�</p>
@@ -435,9 +429,8 @@
<li>涓婂唽</li>
</ul>
<div class="padding-116">
- <examinations :cardList="questionData[13]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
- v-if="questionData" :isReal="false"></examinations>
-
+ <examinations :cardList="questionData[13]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
<p>鍏ㄤ綋鑷劧鏁扮粍鎴愮殑闆嗗悎锛岃浣淣锛岀О涓� <b>鑷劧鏁伴泦锛�</b></p>
<p>鍏ㄤ綋姝ｆ暣鏁扮粍鎴愮殑闆嗗悎锛岃浣淣*鎴朜+锛岀О涓猴紱 <b>姝ｆ暣鏁伴泦</b></p>
<p>鍏ㄤ綋鏁存暟缁勬垚鐨勯泦鍚堬紝璁颁綔Z锛岀О涓� <b>鏁存暟闆嗭紱</b></p>
@@ -753,7 +746,7 @@
</p>
<p class="center openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0019-1.jpg" style="width: 40%" />
+ <img class="img-c" alt="" src="../../assets/images/0019-1.jpg" style="width: 40%" />
</p>
<p class="img">鍥�1-1</p>
@@ -785,7 +778,6 @@
鍒嗗埆涓惧嚭鍑犱釜闆嗗悎鐨勪緥瀛愶紝浣跨敤涓嶅悓鐨勬柟娉曡〃绀鸿繖浜涢泦鍚�.骞朵笌鍚屽浜ゆ祦锛氬摢浜涢泦鍚堥�傚悎鐢ㄥ垪涓炬硶琛ㄧず锛屽摢浜涢泦鍚堥�傚悎鐢ㄦ弿杩版硶琛ㄧず锛�
</p>
</div>
-
<p class="left">
<img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
</p>
@@ -836,25 +828,6 @@
<h2 id="c031">涔犻1.1<span class="fontsz2"> 锛烇紴锛�</span></h2>
- <div class="bj">
- <p>
- <span class="bj-sp">姘村钩涓�</span>
- </p>
- <div class="textIndentation">
- 1.鍒ゆ柇涓嬪垪瀵硅薄鑳藉惁缁勬垚闆嗗悎锛岃兘鐨勭敾鈥溾垰鈥濓紝涓嶈兘鐨勭敾鈥溍椻��.
- <p>锛�1锛� 涓嶈秴杩囅�鐨勬鏁存暟鐨勫叏浣�.锛堛��锛�</p>
- <p>锛�2锛� 鏁板璇炬湰涓墍鏈夌殑闅鹃.锛堛��锛�</p>
- <p>锛�3锛� 涓浗鐨勫ぇ鍩庡競鐨勫叏浣�.锛堛��锛�</p>
- <p>锛�4锛� 骞虫柟鍚庣瓑浜庤嚜韬殑鏁扮殑鍏ㄤ綋.锛堛��锛�</p>
- <p>锛�5锛� 浣犱滑鐝笂韬珮1.5 m浠ヤ笂鐨勫鐢熺殑鍏ㄤ綋.锛堛��锛�</p>
- </div>
-
- <div class="textIndentation">
- 2.閫夋嫨棰�.
- <p>宸茬煡闆嗗悎M={x|x=4n锛宯鈭圢+}锛屽垯涓嬪垪鍚勬暟灞炰簬闆嗗悎M鐨勬槸锛堛��锛�.</p>
- <p>A.0 B.2 007 C.2 008 D.2 009</p>
- </div>
- </div>
</div>
</div>
</div>
@@ -867,75 +840,8 @@
<li>涓婂唽</li>
</ul>
<div class="padding-116">
- <div class="bj" style="margin-top: 50px">
- <div class="textIndentation">
- 3.濉┖棰�.
- <p>锛�1锛� 鐢ㄧ鍙封�溾垐鈥濇垨鈥溾垑鈥濆～绌�.</p>
- <p>
- 2 5 ______Q锛屻�� 2 5 ______Z锛屻�� 2 5 ______R锛屻�� 2 ______Q锛屻�� 2
- ______R.
- </p>
-
- <p>
- 锛�2锛� 浣犱滑鐝彮濮斾細鎴愬憳缁勬垚鐨勯泦鍚堢敤鍒椾妇娉曞彲浠ヨ〃绀轰负<input @change="changeAssess($event, 'text11')" maxlength="200"
- :value="chapter001.tkItem01.text11" class="assess" type="text" />
- </p>
- <p>
- 锛�3锛� 4鐨勬暣鏁板�嶇粍鎴愮殑闆嗗悎鍙互琛ㄧず涓�
- <input @change="changeAssess($event, 'text12')" maxlength="200" :value="chapter001.tkItem01.text12"
- class="assess" type="text" />
- </p>
- <p>
- 锛�4锛� 宸茬煡闆嗗悎A={2锛�3锛�2a}锛岃嫢10鈭圓锛屽垯a鐨勫�间负
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- class="assess" type="text" />
- </p>
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-
- <div class="textIndentation">
- 4.鐢ㄩ�傚綋鐨勬柟娉曡〃绀轰笅鍒楅泦鍚�.
- <p>
- 锛�1锛� 涓嶈秴杩�10鐨勬鍋舵暟缁勬垚鐨勯泦鍚堬紱
- <input @change="changeAssess($event, 'text15')" maxlength="200" :value="chapter001.tkItem01.text15"
- class="assess" type="text" />
- </p>
- <p>
- 锛�2锛� 鏂圭▼x2-3x+2=0鐨勮В闆嗭紱
- <input @change="changeAssess($event, 'text16')" maxlength="200" :value="chapter001.tkItem01.text16"
- class="assess" type="text" />
- </p>
- <p>
- 锛�3锛� 鐢辨墍鏈夐攼瑙掍笁瑙掑舰缁勬垚鐨勯泦鍚�.
- <input @change="changeAssess($event, 'text17')" maxlength="200" :value="chapter001.tkItem01.text17"
- class="assess" type="text" />
- </p>
- </div>
-
- <div class="textIndentation">
- 5.鐢ㄦ弿杩版硶琛ㄧず涓嬪垪闆嗗悎锛屽苟鍦ㄦ暟杞翠笂琛ㄧず鍑烘潵.
- <p>锛�1锛� 涓嶇瓑寮弜+4鈮�0鐨勮В闆嗭紱</p>
- <textarea cols="30" rows="4" v-model="chapterData.txt1" placeholder="璇疯緭鍏ュ唴瀹�"
- class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
- <p>锛�2锛� 涓嶇瓑寮�3x鈮�9鐨勮В闆嗭紱</p>
- <p>锛�3锛� 涓嶇瓑寮�-x锛�3鐨勮В闆�.</p>
- </div>
-
- <p>
- <span class="bj-sp">姘村钩浜�</span>
- </p>
- <p>
- 1.宸茬煡闆嗗悎M={x|x2=a}涓彧鏈変竴涓厓绱狅紝璇峰啓鍑虹敱a鐨勫彲鑳藉彇鍊肩粍鎴愮殑闆嗗悎.
- <input @change="changeAssess($event, 'text18')" maxlength="200" :value="chapter001.tkItem01.text18"
- class="assess" type="text" />
- </p>
- <p>
- 2.琚�7闄や綑1鐨勬暣鏁扮粍鎴愮殑闆嗗悎鍙互琛ㄧず涓�
- <input @change="changeAssess($event, 'text19')" maxlength="200" :value="chapter001.tkItem01.text19"
- class="assess" type="text" />
- </p>
- <p>3.鐢ㄦ弿杩版硶琛ㄧず骞抽潰鐩磋鍧愭爣绯讳腑绗簩璞￠檺鍐呯殑鎵�鏈夌偣缁勬垚鐨勯泦鍚�.</p>
- </div>
-
+ <examinations :cardList="questionData[16]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
<h2 id="c031">
1.2 闆嗗悎涔嬮棿鐨勫叧绯�<span class="fontsz2">锛烇紴锛�</span>
</h2>
@@ -943,7 +849,7 @@
<h3>1.2.1 瀛愰泦<span class="fontsz2">锛烇紴锛�</span></h3>
<p class="left">
- <img class="img-gn" alt="" src="../../assets/imgs/gcsk.jpg" />
+ <img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" />
</p>
<p>
@@ -965,14 +871,14 @@
</ul>
<div class="padding-116">
<p class="left">
- <img class="img-gn" alt="" src="../../assets/imgs/fxlj.jpg" />
+ <img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
</p>
<p>
鎴戜滑鐭ラ亾锛屽叏鍥藉煄闀囧父浣忎汉鍙ｄ腑鐨勬瘡涓汉閮芥槸鍏ㄥ浗浜哄彛涓殑涓�鍛橈紝鍥犳锛岄泦鍚圓涓殑浠讳綍涓�涓厓绱犻兘鏄泦鍚圔涓殑鍏冪礌锛岃繖鏃舵垜浠氨璇撮泦鍚圓涓庨泦鍚圔鏈夊寘鍚叧绯�.
</p>
<p>鍚屾牱锛屾暣鏁伴泦涓庢湁鐞嗘暟闆嗐�佹湁鐞嗘暟闆嗕笌瀹炴暟闆嗕篃鏈夊寘鍚叧绯�.</p>
<p class="left">
- <img class="img-gn" alt="" src="../../assets/imgs/cxgk.jpg" />
+ <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
</p>
<p>
@@ -985,7 +891,7 @@
<div class="bk">
<div class="bj1">
<p class="left">
- <img class="img-gn1" alt="" src="../../assets/imgs/gn.jpg" />
+ <img class="img-gn1" alt="" src="../../assets/images/gn.jpg" />
</p>
</div>
<p class="block">瀛愰泦</p>
@@ -999,12 +905,12 @@
</p>
<div class="center openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0022-1.jpg" style="width: 40%" />
+ <img class="img-c" alt="" src="../../assets/images/0022-1.jpg" style="width: 40%" />
<p class="img" style="font-size: 14px">鍥�1-2</p>
</div>
<div class="img-rights openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0022-2.jpg" />
+ <img class="img-c" alt="" src="../../assets/images/0022-2.jpg" />
<p class="img" style="color: #ac92c4; font-size: 14px">鍥�1-3</p>
</div>
<p>
@@ -1027,7 +933,7 @@
</ul>
<div class="padding-116">
<div class="center openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0023-1.jpg" style="margin-top: 30px" />
+ <img class="img-c" alt="" src="../../assets/images/0023-1.jpg" style="margin-top: 30px" />
<p class="img" style="font-size: 14px">鍥�1-4</p>
</div>
@@ -1038,7 +944,7 @@
</p>
<div class="img-float openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0023-2.jpg" />
+ <img class="img-c" alt="" src="../../assets/images/0023-2.jpg" />
<p class="img" style="font-size: 14px">鍥�1-5</p>
</div>
<ul>
@@ -1094,25 +1000,9 @@
<p class="left">
<img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
</p>
-
<div class="bj">
- <div class="textIndentation">
- 1.鐢ㄧ鍙封�溾垐鈥濃�溾垑鈥濃�溾妴鈥濃�溾妵鈥濃�溾妶鈥濆～绌�.
- <p>锛�1锛壪�______{x|x鈮�3.141 6}锛�</p>
- <p>锛�2锛� 鈭卂___{0}锛�</p>
- <p>锛�3锛� {a锛宐锛宑锛宒}______{b锛宒锛宔锛宖锛宎}锛�</p>
- <p>锛�4锛� {1锛�3锛�5锛�7锛�9锛�15}______{1锛�3锛�5锛�15}.</p>
- </div>
- <p>
- 2.鍦ㄦ煇娆′綋鑲叉祴璇曚腑锛岀櫨绫宠窇鍜岃烦楂橀兘鍙婃牸鏃讹紝鎵嶈兘琚瘎涓哄強鏍�.鑻琛ㄧず鐧剧背璺戝強鏍肩殑鍚屽缁勬垚鐨勯泦鍚堬紝B琛ㄧず璺抽珮鍙婃牸鐨勫悓瀛︾粍鎴愮殑闆嗗悎锛孋琛ㄧず浣撹偛娴嬭瘯鍙婃牸鐨勫悓瀛︾粍鎴愮殑闆嗗悎锛岃鎸囧嚭A锛孊锛孋涔嬮棿鐨勫寘鍚叧绯伙紝骞舵寚鍑哄叾涓殑瀛愰泦.<input
- @change="changeAssess($event, 'text20')" maxlength="20" :value="chapter001.tkItem01.text20"
- class="assess" type="text" />
- </p>
- <p>
- 3.鍐欏嚭闆嗗悎{2锛�3}鐨勬墍鏈夊瓙闆�.
- <input @change="changeAssess($event, 'text21')" maxlength="20" :value="chapter001.tkItem01.text21"
- class="assess" type="text" />
- </p>
+ <examinations :cardList="questionData[19]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+ v-if="questionData" ></examinations>
</div>
</div>
</div>
@@ -1132,7 +1022,7 @@
<h3>1.2.2 鐪熷瓙闆嗕笌鐩哥瓑闆嗗悎<span class="fontsz2">锛烇紴锛�</span></h3>
<p class="left">
- <img class="img-gn" alt="" src="../../assets/imgs/wttc.jpg" />
+ <img class="img-gn" alt="" src="../../assets/images/wttc.jpg" />
</p>
<div class="textIndentation">
@@ -1146,7 +1036,7 @@
</div>
<p class="left">
- <img class="img-gn" alt="" src="../../assets/imgs/fxlj.jpg" />
+ <img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
</p>
<p>瀵逛簬鈥滈棶棰樻彁鍑衡�濅腑鐨勶紙1锛夛紝鏄剧劧鏈塒鈯哅.</p>
@@ -1155,7 +1045,7 @@
</p>
<p class="left">
- <img class="img-gn" alt="" src="../../assets/imgs/cxgk.jpg" />
+ <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
</p>
<p>
瀵逛簬涓や釜闆嗗悎A锛孊锛屽鏋滈泦鍚圓鏄泦鍚圔鐨勫瓙闆嗭紝涓旈泦鍚圔涓嚦灏戞湁涓�涓厓绱犱笉灞炰簬闆嗗悎A锛岄偅涔堥泦鍚圓鍙綔闆嗗悎B鐨勭湡瀛愰泦锛堝鍥�1-6鎵�绀猴級锛岃浣淎猥婤锛堟垨B猥孉锛夛紝璇讳綔鈥淎鐪熷寘鍚簬B鈥濇垨鈥淏鐪熷寘鍚獳鈥�.
@@ -1167,7 +1057,7 @@
<p>杩欎簺闆嗗悎涔嬮棿鐨勫叧绯诲彲浠ョ敤鍥�1-7鐩磋琛ㄧず.</p>
<div class="center openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0024-2.jpg" style="width: 50%" />
+ <img class="img-c" alt="" src="../../assets/images/0024-2.jpg" style="width: 50%" />
<p class="img" style="font-size: 14px">鍥�1-7</p>
</div>
<p>
@@ -1221,30 +1111,17 @@
</div>
</li>
</ul>
- <p></p>
- <!--
- <p>
- <span class="zt-ls2">鍒嗘瀽</span>涓轰簡涓嶉噸涓嶆紡鍦板啓鍑洪泦鍚圓
- 鐨勬墍鏈夊瓙闆�,鎴戜滑搴斿垎涓轰互涓嬪嚑涓� 姝ラ鏉ュ啓.
- </p>
-
- <p>锛�1锛� 鈭呮槸鎵�鏈夐泦鍚堢殑瀛愰泦锛屾墍浠ュ厛鍐欏嚭 鈭咃紱</p>
- <p>锛�2锛� 鍐欏嚭鍚湁涓�涓厓绱犵殑瀛愰泦锛歿a}锛寋b}锛寋c}锛�</p>
- <p>锛�3锛� 鍐欏嚭鍚湁涓や釜鍏冪礌鐨勫瓙闆嗭細{a锛宐}锛寋a锛宑}锛寋b锛宑}锛�</p>
- <p>锛�4锛� 鍐欏嚭鍚湁涓変釜鍏冪礌鐨勫瓙闆嗭細{a锛宐锛宑}.</p> -->
-
<div class="bk-hzjl">
<div class="bj1-hzjl">
<p class="left">
<img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
</p>
</div>
- <p class="block tl">
- 璇蜂妇鍑轰袱涓湁鍖呭惈鍏崇郴鐨勯泦鍚堬紝鐒跺悗璇村嚭瀹冧滑涔嬮棿鐨勫寘鍚叧绯伙紝鎸囧嚭鍏朵腑鐨勫瓙闆嗘垨鑰呯湡瀛愰泦锛屽苟鐢╒enn鍥捐〃绀哄畠浠箣闂寸殑鍏崇郴锛屼笌鍚屽浜掔浉浜ゆ祦.
- </p>
+ <examinations :cardList="questionData[21]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
</div>
<p class="left">
- <img class="img-gn" alt="" src="../../assets/imgs/fxlj.jpg" />
+ <img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
</p>
<p>
@@ -1252,7 +1129,7 @@
</p>
<p class="left">
- <img class="img-gn" alt="" src="../../assets/imgs/cxgk.jpg" />
+ <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
</p>
<p>
涓�鑸湴锛屽浜庝袱涓泦鍚圓锛孊锛屽鏋淎鈯咮锛屼笖B鈯咥锛岄偅涔堟鏃堕泦鍚圓涓庨泦鍚圔鐨勫厓绱犳槸瀹屽叏涓�鏍风殑锛岀О闆嗗悎A涓庨泦鍚圔
@@ -1282,7 +1159,6 @@
</ul>
<div class="padding-116">
<p><span class="zt-ls2">渚�2</span>璇村嚭涓嬪垪姣忓闆嗗悎涔嬮棿鐨勫叧绯�.</p>
-
<ul>
<li>
锛�1锛� A={1锛�2锛�3锛�4}鍜孊={1锛�3锛�4}锛�
@@ -1332,7 +1208,6 @@
<p><span class="zt-ls2">瑙�</span>锛�3锛� C=鈭�.</p>
</li>
</ul>
-
<div class="bk-hzjl">
<div class="bj1-hzjl">
<p class="left">
@@ -1343,7 +1218,6 @@
涓庡悓瀛︿氦娴佽璁猴紝璇翠竴璇村瓙闆嗐�佺湡瀛愰泦銆佺浉绛夐泦鍚堢殑鍖哄埆涓庤仈绯�.
</p>
</div>
-
<p class="left">
<img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
</p>
@@ -1368,27 +1242,10 @@
class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
</p>
</div>
-
<h2 id="c031">涔犻1.2<span class="fontsz2"> 锛烇紴锛�</span></h2>
-
<div class="bj">
- <p>
- <span class="bj-sp">姘村钩涓�</span>
- </p>
-
- <p>1.璁鹃泦鍚圡={x|x锛�-1}锛屽垯涓嬪垪鍏崇郴寮忎腑姝ｇ‘鐨勬槸锛堛��锛�.</p>
- <p>A.0猥婱 B. 鈭� 2 鈭� M C.鈭呪垐M D.{0}猥婱</p>
- <p>2.璁鹃泦鍚圓={x鈭圸|x锛�5}锛孊={x鈭圸|x鈮�3}锛屽垯闆嗗悎A涓嶣鐨勫叧绯绘槸______.</p>
- <p>
- 3.宸茬煡闆嗗悎A={4+a锛�-4}锛孊={2锛宐}.鑻=B锛屾眰a锛宐鐨勫��.
- <input @change="changeAssess($event, 'text22')" maxlength="20" :value="chapter001.tkItem01.text22"
- class="assess" type="text" />
- </p>
- <p>
- 4.涓句緥璇存槑A鈯咮涓嶢猥婤鐨勫尯鍒�.
- <textarea cols="30" rows="4" v-model="chapterData.txt3" placeholder="璇疯緭鍏ュ唴瀹�"
- class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
- </p>
+ <examinations :cardList="questionData[22]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+ v-if="questionData" ></examinations>
</div>
</div>
</div>
@@ -1402,45 +1259,18 @@
<li>涓婂唽</li>
</ul>
<div class="padding-116">
- <div class="bj">
- <p>
- <span class="bj-sp">姘村钩浜�</span>
- </p>
-
- <p>
- 1.璁鹃泦鍚圡={x|x=3n锛宯鈭圢}锛孭={x|x=6n锛宯鈭圢}锛屽垯涓嬪垪鍏崇郴寮忎腑姝ｇ‘鐨勬槸锛堛��锛�.
- </p>
- <p>A.M=P B.M猥婸 C.P猥婱 D.P鈯圡</p>
- <p>
- 2.璁鹃泦鍚圓={x|x鏄笁瑙掑舰}锛孊={x|x鏄瓑鑵颁笁瑙掑舰}锛孋={x|x鏄瓑杈逛笁瑙掑舰}锛孌={x|x鏄洿瑙掍笁瑙掑舰}锛屽啓鍑哄畠浠箣闂存墍鏈夌殑鍖呭惈鍏崇郴.<textarea cols="30" rows="4"
- v-model="chapterData.txt4" placeholder="璇疯緭鍏ュ唴瀹�" class="w100 ta-br textarea-text"
- @input="handleChapterData"></textarea>
- </p>
-
- <div class="textIndentation">
- 3.璁鹃泦鍚圡={x|x2-4=0}锛孭={a}.
- <p>
- 锛�1锛� 鐢ㄥ垪涓炬硶琛ㄧず闆嗗悎M锛�<textarea cols="30" rows="4" v-model="chapterData.txt5" placeholder="璇疯緭鍏ュ唴瀹�"
- class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
- </p>
- <p>锛�2锛� 鍐欏嚭闆嗗悎M鐨勬墍鏈夊瓙闆嗭紱</p>
- <p>锛�3锛� 鑻鈯哅锛屾眰a鐨勫��.</p>
- </div>
- </div>
-
<h2 id="c031">
1.3 闆嗗悎鐨勮繍绠�<span class="fontsz2">锛烇紴锛烇紴锛烇紴</span>
</h2>
<p class="left">
- <img class="img-gn" alt="" src="../../assets/imgs/gcsk.jpg" />
+ <img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" />
</p>
<div class="img-rights openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0027-1.jpg" />
+ <img class="img-c" alt="" src="../../assets/images/0027-1.jpg" />
<p class="img" style="font-size: 14px">鍥�1-8</p>
</div>
-
<p>
鍒�2035骞达紝鎴戝浗瑕佸彂灞曟垚涓轰綋鑲插己鍥�.鍖椾含甯傛浘鍦�2008骞村拰2022骞村垎鍒妇鍔炰簡绗�29灞婂瀛ｅゥ杩愪細鍜岀24灞婂啲瀛ｅゥ杩愪細锛�
鍥犳鎴愪负涓栫晫涓婄涓�涓棦涓惧姙杩囧瀛ｅゥ杩愪細鍙堜妇鍔炶繃鍐濂ヨ繍浼氱殑鍩庡競.鐜板湪鐢ㄩ泦鍚堢殑瑙傜偣鏉ュ垎鏋愯繖涓棶棰橈紝濡傚浘1-8鎵�绀猴紝鎴戜滑鐢ㄩ泦鍚圲琛ㄧず涓栫晫涓婃墍鏈夌殑鍩庡競锛岀敤闆嗗悎A琛ㄧず鍒�2022骞村勾搴曚妇鍔炶繃澶忓濂ヨ繍浼氱殑鍩庡競锛岀敤闆嗗悎B琛ㄧず鍒�2022骞村勾搴曚妇鍔炶繃鍐濂ヨ繍浼氱殑鍩庡競.
@@ -1474,10 +1304,10 @@
<h3>1.3.1 浜ら泦<span class="fontsz2">锛烇紴锛�</span></h3>
<p class="left">
- <img class="img-gn" alt="" src="../../assets/imgs/fxlj.jpg" />
+ <img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
</p>
<div class="img-rights openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0028-1.jpg" />
+ <img class="img-c" alt="" src="../../assets/images/0028-1.jpg" />
<p class="img" style="font-size: 14px">鍥�1-9</p>
</div>
<p>鎴戜滑鏉ョ爺绌舵湰鑺傗�滆瀵熸�濊�冣�濅腑鐨勯棶棰� (1).</p>
@@ -1485,7 +1315,7 @@
鍒�2022骞村勾搴曚妇鍔炶繃澶忓濂ヨ繍浼氱殑鍩庡競缁勬垚闆嗗悎A锛屼妇鍔炶繃鍐濂ヨ繍浼氱殑鍩庡競缁勬垚闆嗗悎B锛屽悓鏃朵妇鍔炶繃涓ょ濂ヨ繍浼氱殑鍩庡競涔熺粍鎴愪竴涓泦鍚圕锛岃繖涓泦鍚堜腑鐨勫厓绱犳棦鏄泦鍚圓涓殑鍏冪礌锛屽張鏄泦鍚圔涓殑鍏冪礌.涔熷氨鏄锛岄泦鍚圕鏄泦鍚圓涓庨泦鍚圔鐨勬墍鏈夊叕鍏卞厓绱犵粍鎴愮殑闆嗗悎锛屽鍥�1-9鎵�绀�.
</p>
<div class="img-rights openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0028-2.jpg" />
+ <img class="img-c" alt="" src="../../assets/images/0028-2.jpg" />
<p class="img" style="font-size: 14px">鍥�1-10</p>
</div>
@@ -1494,11 +1324,11 @@
</p>
<p class="left">
- <img class="img-gn" alt="" src="../../assets/imgs/cxgk.jpg" />
+ <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
</p>
<div class="img-rights openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0028-3.jpg" />
+ <img class="img-c" alt="" src="../../assets/images/0028-3.jpg" />
<p class="img" style="font-size: 14px">鍥�1-11</p>
</div>
<p>
@@ -1559,7 +1389,7 @@
<div class="bk">
<div class="bj1">
<p class="left">
- <img class="img-gn1" alt="" src="../../assets/imgs/gn.jpg" />
+ <img class="img-gn1" alt="" src="../../assets/images/gn.jpg" />
</p>
</div>
<p class="block">浜ら泦</p>
@@ -1567,7 +1397,7 @@
<p>瑙傚療鍙煡 A鈭〣={x|-1锛渪鈮�3}.</p>
<div class="center openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0028-4.jpg" />
+ <img class="img-c" alt="" src="../../assets/images/0028-4.jpg" />
<p class="img" style="font-size: 14px">鍥�1-12</p>
</div>
</div>
@@ -1604,7 +1434,7 @@
</ul>
<div class="center openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0029-1.jpg" />
+ <img class="img-c" alt="" src="../../assets/images/0029-1.jpg" />
<p class="img" style="font-size: 14px">鍥�1-13</p>
</div>
@@ -1702,52 +1532,8 @@
<p>锛�1锛� A鈭〣=B鈭〢锛涳紙2锛� A鈭〢=A锛孉鈭┾垍=鈭咃紱</p>
<p>锛�3锛� A鈭〣鈯咥锛孉鈭〣鈯咮锛涳紙4锛� 鑻鈯咮锛屽垯A鈭〣=A.</p>
</div>
-
- <div class="bk-hzjl">
- <div class="bj1-hzjl">
- <p class="left">
- <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
- </p>
- </div>
- <p class="block tl">
- 1.涓庡悓瀛︿氦娴佽璁轰緥4鐨勭瓟妗堬紝鑻ヨ〃绀轰负A鈭〣={4锛�1}鍙笉鍙互锛熶负浠�涔堬紵
- <textarea cols="30" rows="4" v-model="chapterData.txt6" placeholder="璇疯緭鍏ュ唴瀹�"
- class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
- </p>
- <p class="block tl">
- 2.浣犺兘瑙ｉ噴浜ら泦鐨勮繖鍥涙潯鎬ц川鍚楋紵涓庡悓瀛︿氦娴佽璁�.
- <textarea cols="30" rows="4" v-model="chapterData.txt7" placeholder="璇疯緭鍏ュ唴瀹�"
- class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
- </p>
- </div>
-
- <p class="left">
- <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
- </p>
- <div class="bj">
- <div class="textIndentation">
- 1.濉┖棰�.
- <p>
- 锛�1锛� {-1锛�0锛�1}鈭﹞0锛�1锛�2}=<input @change="changeAssess($event, 'text23')" maxlength="20"
- :value="chapter001.tkItem01.text23" class="assess" type="text" />
-
- 锛�
- </p>
- <p>
- 锛�2锛� {x锛寉}鈭﹞a锛宐锛宑}=<input @change="changeAssess($event, 'text24')" maxlength="20"
- :value="chapter001.tkItem01.text24" class="assess" type="text" />锛�
- </p>
- <p>
- 锛�3锛� {x|x鏄瓑鑵颁笁瑙掑舰}鈭﹞x|x鏄洿瑙掍笁瑙掑舰}=<input @change="changeAssess($event, 'text25')" maxlength="20"
- :value="chapter001.tkItem01.text25" class="assess" type="text" />
- 锛�
- </p>
- <p>
- 锛�4锛� N+鈭㈱=<input @change="changeAssess($event, 'text26')" maxlength="20"
- :value="chapter001.tkItem01.text26" class="assess" type="text" />.
- </p>
- </div>
- </div>
+ <examinations :cardList="questionData[25]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
</div>
</div>
</div>
@@ -1763,70 +1549,45 @@
</li>
</ul>
<div class="padding-116">
- <div class="bj">
- <div class="textIndentation">
- 2.姹備笅鍒楅泦鍚堢殑浜ら泦.
- <p>
- 锛�1锛�
- 璁鹃泦鍚圓={x|x鏄�20浠ュ唴鐨勬濂囨暟}锛孊={x|x鏄�20浠ュ唴鑳借3鏁撮櫎鐨勬鏁存暟}锛�
- </p>
-
- <textarea cols="30" rows="4" v-model="chapterData.txt8" placeholder="璇疯緭鍏ュ唴瀹�"
- class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
- <p>锛�2锛� 璁鹃泦鍚圓={x|-1锛渪鈮�3}锛孊={x|0鈮鈮�5}锛�</p>
- <p>锛�3锛� 璁鹃泦鍚圓={x|x锛�0}锛孊={x|x鈮�5}锛�</p>
- <p>锛�4锛� 璁鹃泦鍚圓={x|x锛�3}锛孊={x|x锛�-2}锛�</p>
- <p>锛�5锛� 璁鹃泦鍚圓={x|x锛�5}锛孊={x|x锛�4}锛�</p>
- <p>锛�6锛� 璁鹃泦鍚圓={锛坸锛寉锛墊x+y-3=0}锛孊={锛坸锛寉锛墊2x+y-4=0}.</p>
- </div>
- </div>
-
<h3>1.3.2 骞堕泦<span class="fontsz2">锛烇紴锛�</span></h3>
-
<p class="left">
- <img class="img-gn" alt="" src="../../assets/imgs/fxlj.jpg" />
+ <img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
</p>
-
<div class="img-rights openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0030-1.jpg" />
+ <img class="img-c" alt="" src="../../assets/images/0030-1.jpg" />
<p class="img" style="font-size: 14px">鍥�1-14</p>
</div>
-
<p>鎴戜滑鍐嶆潵鐮旂┒鏈妭鈥滆瀵熸�濊�冣�濅腑鐨勯棶棰橈紙2锛�.</p>
<p>
鏄剧劧锛屾垜浠彧瑕佹妸鍒�2022骞村勾搴曚妇鍔炶繃澶忓濂ヨ繍浼氱殑鍩庡競鎴栬�呬妇鍔炶繃鍐濂ヨ繍浼氱殑鍩庡競鍏ㄩ儴鍚堝苟鍦ㄤ竴璧峰氨琛屼簡锛岃繖鏍峰悎骞跺湪涓�璧风殑鍩庡競灏辩粍鎴愪簡涓�涓柊鐨勯泦鍚堬紝杩欎釜闆嗗悎涓殑鍏冪礌灞炰簬A鎴栬�呭睘浜嶣锛屽鍥�1-14鎵�绀�.
</p>
<div class="img-rights openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0030-2.jpg" />
+ <img class="img-c" alt="" src="../../assets/images/0030-2.jpg" />
<p class="img" style="font-size: 14px">鍥�1-15</p>
</div>
<p>
鍐嶅锛岄泦鍚圥={a锛宐锛宑}锛岄泦鍚圦={a锛宐锛宒锛宔}锛岄泦鍚圡={a锛宐锛宑锛宒锛宔}锛岄泦鍚圡涓殑鍏冪礌鏄敱闆嗗悎P鎴栭泦鍚圦涓殑鍏冪礌缁勬垚鐨勶紙濡傚浘1-15鎵�绀猴級.
</p>
-
<div class="bk">
<div class="bj1">
<p class="left">
- <img class="img-gn1" alt="" src="../../assets/imgs/gn.jpg" />
+ <img class="img-gn1" alt="" src="../../assets/images/gn.jpg" />
</p>
</div>
<p class="block">骞堕泦</p>
</div>
-
<p class="left">
- <img class="img-gn" alt="" src="../../assets/imgs/cxgk.jpg" />
+ <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
</p>
<p>
涓�鑸湴锛岃A锛孊鏄袱涓泦鍚堬紝鐢辨墍鏈夊睘浜嶢鎴栬�呭睘浜嶣鐨勫厓绱犵粍鎴愮殑闆嗗悎C鍙綔闆嗗悎A涓庨泦鍚圔鐨勫苟闆嗭紝璁颁綔A鈭狟锛岃浣溾�淎骞禕鈥濓紝鍗�
</p>
<p>C=A鈭狟={x|x鈭圓鎴杧鈭圔}.</p>
<p>鍥�1-16锛�1锛夛紙2锛� 涓殑娑傝壊閮ㄥ垎灏辫〃绀洪泦鍚圓涓庨泦鍚圔鐨勫苟闆�.</p>
-
<div class="center openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0030-3.jpg" />
+ <img class="img-c" alt="" src="../../assets/images/0030-3.jpg" />
<p class="img" style="font-size: 14px">鍥�1-16</p>
</div>
-
=
</div>
</div>
@@ -1875,25 +1636,20 @@
</p>
</li>
</ul>
-
<div class="center openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0031-1.jpg" />
+ <img class="img-c" alt="" src="../../assets/images/0031-1.jpg" />
<p class="img" style="font-size: 14px">鍥�1-17</p>
</div>
-
<p>瑙傚療鍙煡A鈭狟={x|-3锛渪锛�7}.</p>
-
<div class="bk-hzjl">
<div class="bj1-hzjl">
<p class="left">
<img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
</p>
+ <examinations :cardList="questionData[27]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
</div>
- <p class="block tl">涓庡悓瀛︿氦娴佽璁轰緥2锛�</p>
- <p class="block tl">锛�1锛� -1锛�7鏄惁灞炰簬A鈭狟锛熶负浠�涔堬紵</p>
- <p class="block tl">锛�2锛� -3锛�3鏄惁灞炰簬A鈭狟锛熶负浠�涔堬紵</p>
</div>
-
<ul>
<li>
<span class="zt-ls2">渚�3</span>璁鹃泦鍚圓={x|x>4}, B={x|x鈮�-2}, 姹侫鈭狟.
@@ -1914,26 +1670,14 @@
</p>
</li>
</ul>
-
<div class="center openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0031-2.jpg" />
+ <img class="img-c" alt="" src="../../assets/images/0031-2.jpg" />
<p class="img" style="font-size: 14px">鍥�1-18</p>
</div>
-
<p>瑙傚療鍙煡A鈭狟={x|x锛�4鎴杧鈮�-2}.</p>
-
<p>鏍规嵁骞堕泦鐨勫惈涔夊彲浠ョ煡閬擄紝瀵逛簬浠绘剰涓や釜闆嗗悎A锛孊锛屾湁涓嬭堪鎬ц川.</p>
<p>锛�1锛� A鈭狟=B鈭狝锛涳紙2锛� A鈭狝=A锛孉鈭垍=A锛�</p>
<p>锛�3锛� A鈯咥鈭狟锛孊鈯咥鈭狟锛涳紙4锛� 鑻鈯咥锛屽垯A鈭狟=A.</p>
-
- <div class="bk-hzjl">
- <div class="bj1-hzjl">
- <p class="left">
- <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
- </p>
- </div>
- <p class="block tl">浣犺兘瑙ｉ噴骞堕泦鐨勮繖鍥涙潯鎬ц川鍚楋紵涓庡悓瀛︿氦娴佽璁�.</p>
- </div>
</div>
</div>
</div>
@@ -1953,70 +1697,19 @@
<img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
</p>
<div class="bj">
- <div class="textIndentation">
- 1.濉┖棰�.
-
- <p>
- 锛�1锛� {-1锛�0锛�1}鈭獅0锛�1锛�2}=<input @change="changeAssess($event, 'text27')" maxlength="20"
- :value="chapter001.tkItem01.text27" class="assess" type="text" />
-
- 锛�
- </p>
- <p>
- 锛�2锛� {x锛寉}鈭獅a锛宐锛宑}=<input @change="changeAssess($event, 'text28')" maxlength="20"
- :value="chapter001.tkItem01.text28" class="assess" type="text" />锛�
- </p>
- <p>
- 锛�3锛� {x|x鏄瓑鑵颁笁瑙掑舰}鈭獅x|x鏄洿瑙掍笁瑙掑舰}=<input @change="changeAssess($event, 'text29')" maxlength="20"
- :value="chapter001.tkItem01.text29" class="assess" type="text" />锛�
- </p>
- <p>
- 锛�4锛� N+鈭猌 =<input @change="changeAssess($event, 'text30')" maxlength="20"
- :value="chapter001.tkItem01.text30" class="assess" type="text" />.
- </p>
- </div>
-
- <div class="textIndentation">
- 2.姹備笅鍒楅泦鍚堢殑骞堕泦.
-
- <p>锛�1锛� 璁鹃泦鍚圓={x|-1锛渪鈮�3}锛孊={x|0鈮鈮�5}锛�</p>
- <textarea cols="30" rows="4" v-model="chapterData.txt9" placeholder="璇疯緭鍏ュ唴瀹�"
- class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
-
- <p>锛�2锛� 璁鹃泦鍚圓={x|x锛�-3}锛孊={x|x鈮�2}锛�</p>
- <textarea cols="30" rows="4" v-model="chapterData.txt10" placeholder="璇疯緭鍏ュ唴瀹�"
- class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
-
- <p>锛�3锛� 璁鹃泦鍚圓={x|x锛�3}锛孊={x|x锛�-2}锛�</p>
- <textarea cols="30" rows="4" v-model="chapterData.txt11" placeholder="璇疯緭鍏ュ唴瀹�"
- class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
-
- <p>锛�4锛� 璁鹃泦鍚圓={x|x锛�0}锛孊={x|x鈮�5}.</p>
- <textarea cols="30" rows="4" v-model="chapterData.txt12" placeholder="璇疯緭鍏ュ唴瀹�"
- class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
- </div>
-
- <p>3.鐢ㄧ鍙封�溾妴鈥濇垨鈥溾妵鈥濆～绌猴細A鈭〣______A鈭狟.</p>
- <p>
- 4.宸茬煡闆嗗悎A={1锛�4锛�7}锛孊={1锛�3锛�5锛�7锛�8}锛孋={1锛�2锛�4锛�7}锛屾眰锛�1锛�
- A鈭〣锛�<input @change="changeAssess($event, 'text31')" maxlength="20" :value="chapter001.tkItem01.text31"
- class="assess" type="text" />
- 锛�2锛� A鈭〤锛�<input @change="changeAssess($event, 'text32')" maxlength="20" :value="chapter001.tkItem01.text32"
- class="assess" type="text" />锛�3锛夛紙A鈭〣锛夆埅锛圓鈭〤锛�.<input @change="changeAssess($event, 'text33')"
- maxlength="20" :value="chapter001.tkItem01.text33" class="assess" type="text" />
- </p>
+ <examinations :cardList="questionData[28]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+ v-if="questionData" ></examinations>
</div>
-
<h3>1.3.3 鍏ㄩ泦涓庤ˉ闆�<span class="fontsz2">锛烇紴锛�</span></h3>
<p class="left">
- <img class="img-gn" alt="" src="../../assets/imgs/fxlj.jpg" />
+ <img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
</p>
<p>鎴戜滑缁х画鏉ョ爺绌舵湰鑺傗�滆瀵熸�濊�冣�濅腑鐨勯棶棰橈紙3锛� .</p>
<div class="img-rights openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0032-1.jpg" />
+ <img class="img-c" alt="" src="../../assets/images/0032-1.jpg" />
<p class="img" style="font-size: 14px">鍥�1-19</p>
</div>
@@ -2041,21 +1734,21 @@
<div class="bk">
<div class="bj1">
<p class="left">
- <img class="img-gn1" alt="" src="../../assets/imgs/gn.jpg" />
+ <img class="img-gn1" alt="" src="../../assets/images/gn.jpg" />
</p>
</div>
<p class="block">鍏ㄩ泦</p>
<p class="block">琛ラ泦</p>
</div>
<p class="left">
- <img class="img-gn" alt="" src="../../assets/imgs/cxgk.jpg" />
+ <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
</p>
<p>
涓�鑸湴锛屽鏋滀竴涓泦鍚堝惈鏈夋垜浠爺绌剁殑闂涓秹鍙婄殑鍏ㄩ儴鍏冪礌锛岄偅涔堣繖涓泦鍚堝彨浣滃叏闆嗭紝甯哥敤绗﹀彿U琛ㄧず.璁綰鏄叏闆嗭紝A鏄疷鐨勪竴涓瓙闆嗭紝鍒欑敱U涓墍鏈変笉灞炰簬A鐨勫厓绱犵粍鎴愮殑闆嗗悎鍙綔瀛愰泦A鍦ㄥ叏闆哢涓殑琛ラ泦锛堟垨浣欓泦锛夛紝璁颁綔鈭乁A锛岃浣溾�淎鍦ㄥ叏闆哢涓殑琛ラ泦鈥�.鍗�
</p>
<p>鈭乁A={x|x鈭圲涓攛鈭堿}.</p>
<div class="img-float openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0033-1.jpg" />
+ <img class="img-c" alt="" src="../../assets/images/0033-1.jpg" />
<p class="img" style="font-size: 14px">鍥�1-20</p>
</div>
<p>鍥�1-20涓殑娑傝壊閮ㄥ垎灏辫〃绀衡垇UA.</p>
@@ -2075,7 +1768,8 @@
</p>
</div>
<p class="block tl">
- 浣犺兘瑙ｉ噴鍏ㄩ泦鍜岃ˉ闆嗙殑杩欎笁鏉℃�ц川鍚楋紵涓庡悓瀛︿氦娴佽璁�.
+ <examinations :cardList="questionData[29]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
</p>
</div>
<p>
@@ -2205,17 +1899,6 @@
</div>
</li>
</ul>
-
- <div class="bk-hzjl">
- <div class="bj1-hzjl">
- <p class="left">
- <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
- </p>
- </div>
- <p class="block tl">
- 鏍规嵁渚�1锛屼笌鍚屽涓�璧蜂氦娴佽璁猴細锛堚垇UA锛夆埄锛堚垇UB锛夊拰鈭乁锛圓鈭狟锛夌殑缁撴灉锛岀湅鐪嬪畠浠箣闂村瓨鍦ㄤ粈涔堝叧绯�.
- </p>
- </div>
</div>
</div>
</div>
@@ -2362,12 +2045,12 @@
</ul>
<div class="center openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0034-1.jpg" />
+ <img class="img-c" alt="" src="../../assets/images/0034-1.jpg" />
<p class="img" style="font-size: 14px">鍥�1-21</p>
</div>
<div class="img-rights openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0034-2.jpg" />
+ <img class="img-c" alt="" src="../../assets/images/0034-2.jpg" />
<p class="img" style="font-size: 14px">鍥�1-22</p>
</div>
@@ -2385,40 +2068,9 @@
<p class="left">
<img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
</p>
- <div class="bj">
- <p>
- 1.宸茬煡鍏ㄩ泦U={2锛�3锛�5锛�7锛�11锛�13锛�17锛�19}锛岄泦鍚圓={3锛�5锛�7锛�11}锛孊={2锛�7锛�13锛�19}.姹傦細
- </p>
- <p>
- 锛�1锛� A鈭狟锛孉鈭〣锛�
- <input @change="changeAssess($event, 'text34')" maxlength="20" :value="chapter001.tkItem01.text34"
- class="assess" type="text" />
- 锛�2锛� 鈭乁A锛屸垇UB锛�
- <input @change="changeAssess($event, 'text35')" maxlength="20" :value="chapter001.tkItem01.text35"
- class="assess" type="text" />锛�3锛� 鈭乁锛圓鈭狟锛夛紝鈭乁锛圓鈭〣锛�.
- <input @change="changeAssess($event, 'text36')" maxlength="20" :value="chapter001.tkItem01.text36"
- class="assess" type="text" />
- </p>
- <p>
- 2.宸茬煡鍏ㄩ泦U={1锛�2锛�3锛�4锛�5锛�6锛�7锛�8}锛屸垇UA={1锛�4锛�7}锛屾眰闆嗗悎A.
- <input @change="changeAssess($event, 'text37')" maxlength="20" :value="chapter001.tkItem01.text37"
- class="assess" type="text" />
- </p>
- <p>
- 3.璁惧叏闆嗕负R锛岄泦鍚圓={x|x鈮�-2}锛孊={x|x锛�3}锛屽垯鈭丷A=
- <input @change="changeAssess($event, 'text38')" maxlength="20" :value="chapter001.tkItem01.text38"
- class="assess" type="text" />锛� 鈭丷B=
- <input @change="changeAssess($event, 'text39')" maxlength="20" :value="chapter001.tkItem01.text39"
- class="assess" type="text" />锛岋紙鈭丷A锛夆埄B=
- <input @change="changeAssess($event, 'text40')" maxlength="20" :value="chapter001.tkItem01.text40"
- class="assess" type="text" />.
- </p>
- <p>
- 4.璁惧叏闆哢=R锛岄泦鍚圓={x|-5鈮锛�1}锛孊={x|x鈮�2}锛屾眰A鈭〣锛孉鈭狟锛岋紙鈭乁A锛夆埄B锛岋紙鈭乁A锛夆埅B锛岋紙鈭乁B锛夆埄A锛岋紙鈭乁B锛夆埅A.
- </p>
-
- <textarea cols="30" rows="4" v-model="chapterData.txt13" placeholder="璇疯緭鍏ュ唴瀹�"
- class="w100 ta-br textarea-text" @input="handleChapterData"></textarea>
+ <div class="bj" >
+ <examinations :cardList="questionData[30]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+ v-if="questionData" ></examinations>
</div>
</div>
</div>
@@ -2427,219 +2079,21 @@
<div class="page-box" page="31">
<div v-if="showPageList.indexOf(31) > -1">
<ul class="page-header-odd fl al-end">
- <li>024</li>
+ <li>024-025</li>
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
<div class="padding-116">
<h2 id="c031">涔犻1.3<span class="fontsz2"> 锛烇紴锛�</span></h2>
-
- <div class="bj">
- <p>
- <span class="bj-sp">姘村钩涓�</span>
- </p>
-
- <div class="textIndentation">
- 1.濉┖棰�.
-
- <p>
- 锛�1锛�
- 宸茬煡闆嗗悎A={m锛宎锛宼锛宧锛宻}锛孊={e锛宯锛実锛宭锛宨锛宻锛宧}锛屽垯A鈭狟=_________锛孉鈭〣=______锛�
- </p>
- <p>
- 锛�2锛�
- 鑻ラ泦鍚圓={x|x鏄洿瑙掍笁瑙掑舰}锛孊={x|x鏄瓑杈逛笁瑙掑舰}锛屽垯A鈭〣=_________锛�
- </p>
- <p>锛�3锛� 鑻ラ泦鍚圓={x|x鏄鏂瑰舰}锛孊={x|x鏄煩褰锛屽垯A鈭狟=______锛�</p>
- <p>
- 锛�4锛�
- 璁鹃泦鍚圓={x|x锛�1}锛孊={x|-2锛渪锛�3}锛屽垯A鈭狟=______锛孉鈭〣=______.
- </p>
- </div>
-
- <div class="textIndentation">
- 2.閫夋嫨棰�.
- <p>锛�1锛� 璁惧叏闆哢={x鈭圢+|x鈮�9}锛岄泦鍚圓={2锛�3锛�5锛�7}锛屽垯鈭乁A=锛堛��锛�.</p>
- <p>A.{0锛�4锛�6锛�8锛�9}</p>
- <p>B.{0锛�1锛�4锛�6锛�8锛�9}</p>
- <p>C.{1锛�4锛�6锛�8锛�9}</p>
- <p>D.{4锛�6锛�8锛�9}</p>
- <p>锛�2锛� 宸茬煡闆嗗悎A={1锛�2锛宎2}锛孊={-1锛�4}锛孉鈭〣={4}锛屽垯a=锛堛��锛�.</p>
- <p>A.-2鎴�2</p>
- <p>B.4</p>
- <p>C.-2</p>
- <p>D.2</p>
- </div>
- <p>3.璁惧叏闆嗕负R锛岄泦鍚圓={x|-1锛渪锛�3}锛孊={x|x锛�-2}.姹傦細</p>
- <p>锛�1锛� 鈭丷A锛屸垇RB锛涳紙2锛夛紙鈭丷A锛夆埄锛堚垇RB锛夛紱锛�3锛夛紙鈭丷A锛夆埅锛堚垇RB锛�.</p>
-
- <p>
- <span class="bj-sp">姘村钩浜�</span>
- </p>
-
- <div class="textIndentation">
- 1.閫夋嫨棰�.
-
- <p>
- 锛�1锛�
- 璁惧叏闆嗕负R锛岄泦鍚圡={x|-3鈮锛�2}锛孭={x|x鈮�0}锛屽垯鈭丷锛圡鈭㏄锛�=锛堛��锛�.
- </p>
- <p>A.{x|0鈮锛�2}</p>
- <p>B.{x|x鈮�2}</p>
- <p>C.{x|x锛�0鎴杧鈮�2}</p>
- <p>D.{x|x鈮�0鎴杧锛�2}</p>
- </div>
+ <div class="bj" >
+ <examinations :cardList="questionData[31]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+ v-if="questionData" ></examinations>
</div>
</div>
</div>
</div>
<!-- 025 -->
- <div class="page-box" page="32">
- <div v-if="showPageList.indexOf(32) > -1">
- <ul class="page-header-box">
- <li>
- <p>绗竴鍗曞厓 闆嗗悎</p>
- </li>
- <li>
- <p><span>025</span></p>
- </li>
- </ul>
- <div class="padding-116">
- <div class="bj">
- <p>
- 锛�2锛� 璁惧叏闆哢=R锛岄泦鍚� A = { x | 鈭� 4 锛� x 锛� 1 2 }
- 锛孊={x|x鈮�-4}锛屽垯鈭丷锛圓鈭狟锛�=锛堛��锛�.
- </p>
- <p>
- A.<math display="0">
- <mrow data-mjx-texclass="INNER">
- <mo data-mjx-texclass="OPEN">{</mo>
- <mi>x</mi>
- <mrow>
- <mo stretchy="false">|</mo>
- </mrow>
- <mi>x</mi>
- <mo>锛�</mo>
- <mfrac>
- <mn>1</mn>
- <mn>2</mn>
- </mfrac>
- <mo data-mjx-texclass="CLOSE">}</mo>
- </mrow>
- </math>
- </p>
- <p>
- B.<math display="0">
- <mrow data-mjx-texclass="INNER">
- <mo data-mjx-texclass="OPEN">{</mo>
- <mi>x</mi>
- <mrow>
- <mo stretchy="false">|</mo>
- </mrow>
- <mi>x</mi>
- <mo>鈮�</mo>
- <mfrac>
- <mn>1</mn>
- <mn>2</mn>
- </mfrac>
- <mo data-mjx-texclass="CLOSE">}</mo>
- </mrow>
- </math>
- </p>
- <p>
- C.<math display="0">
- <mrow data-mjx-texclass="INNER">
- <mo data-mjx-texclass="OPEN">{</mo>
- <mi>x</mi>
- <mrow>
- <mo stretchy="false">|</mo>
- </mrow>
- <mi>x</mi>
- <mo>锛�</mo>
- <mfrac>
- <mn>1</mn>
- <mn>2</mn>
- </mfrac>
- <mo data-mjx-texclass="CLOSE">}</mo>
- </mrow>
- </math>
- </p>
- <p>
- D.<math display="0">
- <mrow data-mjx-texclass="INNER">
- <mo data-mjx-texclass="OPEN">{</mo>
- <mi>x</mi>
- <mrow>
- <mo stretchy="false">|</mo>
- </mrow>
- <mi>x</mi>
- <mo>鈮�</mo>
- <mfrac>
- <mn>1</mn>
- <mn>2</mn>
- </mfrac>
- <mo data-mjx-texclass="CLOSE">}</mo>
- </mrow>
- </math>
- </p>
-
- <p>
- 锛�3锛�
- 宸茬煡鍏ㄩ泦U={1锛�2锛�3锛�4}锛岄泦鍚圓={3锛�4}锛孧=鈭乁A锛孉=鈭乁P锛屽垯M涓嶱鐨勫叧绯绘槸锛堛��锛�.
- </p>
- <p>A.M=鈭乁P</p>
- <p>B.M=P</p>
- <p>C.P鈯圡</p>
- <p>D.M鈯圥</p>
- <p>
- 锛�4锛�
- 璁惧叏闆哢={a锛宐锛宑锛宒}锛岄泦鍚圓={a}锛孊={a锛宐锛宑}锛屽垯涓嬪垪闆嗗悎涓虹┖闆嗙殑鏄紙銆�锛�.
- </p>
- <p>A.A鈭╋紙鈭乁B锛�</p>
- <p>B.锛堚垇UA锛夆埄锛堚垇UB锛�</p>
- <p>C.锛堚垇UA锛夆埄B</p>
- <p>D.A鈭〣</p>
-
- <div class="textIndentation">
- 2.璇峰皢鈥滀氦闆嗏�濇垨鈥滃苟闆嗏�濆～鍦ㄤ笅闈㈢殑绌烘牸閲�.
-
- <p>
- 锛�1锛�
- 姹傛柟绋嬶紙x+2锛夛紙x+1锛�=0鐨勮В闆嗭紝灏辨槸姹傛柟绋媥+2=0鍜寈+1=0鐨勮В闆嗙殑_________锛�
- </p>
- <p>
- 锛�2锛� 姹備笉绛夊紡缁�<math display="0">
- <mrow data-mjx-texclass="INNER">
- <mo data-mjx-texclass="OPEN">{</mo>
- <mtable columnspacing="1em" rowspacing="4pt">
- <mtr>
- <mtd>
- <mi>x</mi>
- <mo>锛�</mo>
- <mn>3</mn>
- <mo>锛�</mo>
- </mtd>
- <mtd></mtd>
- </mtr>
- <mtr>
- <mtd>
- <mi>x</mi>
- <mo>鈭�</mo>
- <mn>2</mn>
- <mo>鈮�</mo>
- <mn>4</mn>
- </mtd>
- <mtd></mtd>
- </mtr>
- </mtable>
- <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
- </mrow>
- </math>鐨勮В闆嗗氨鏄眰涓嶇瓑寮�<i>x</i>锛�3鍜�<i>x</i>-2鈮�4鐨勮В闆嗙殑______.
- </p>
- </div>
- </div>
- </div>
- </div>
+ <div class="page-box hidePage" page="32">
</div>
<!-- 026 -->
<div class="page-box" page="33">
@@ -2691,19 +2145,15 @@
<h2 id="c031" style="font-size: 25px">
鍗曞厓灏忕粨<span class="fontsz2">锛烇紴锛烇紴锛烇紴</span>
</h2>
-
<p class="bj2">
<b>瀛︿範瀵煎浘</b>
</p>
-
<div class="center openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0038-1.jpg" />
+ <img class="img-b" alt="" src="../../assets/images/0038-1.jpg" />
</div>
-
<p class="bj2">
<b>瀛︿範鎸囧</b>
</p>
-
<div class="textIndentation">
1.闆嗗悎鍙婂叾琛ㄧず.
<p>锛�1锛� 鐢变竴浜涚‘瀹氱殑瀵硅薄鎵�缁勬垚鐨勬暣浣撳氨绉颁负闆嗗悎.</p>
@@ -2722,7 +2172,6 @@
锛�6锛� 闆嗗悎涓昏鏈変袱绉嶈〃绀烘柟娉曪細鍒椾妇娉曞拰鎻忚堪娉�.涓ょ琛ㄧず鏂规硶鍚勬湁鐗圭偣.
</p>
</div>
-
<div class="textIndentation">
2.闆嗗悎涔嬮棿鐨勫叧绯�.
<p>
@@ -2768,100 +2217,20 @@
<p>绗竴鍗曞厓 闆嗗悎</p>
</li>
<li>
- <p><span>029</span></p>
+ <p><span>029-030</span></p>
</li>
</ul>
-
<div class="padding-116">
<h2 id="c031">鍗曞厓妫�娴�<span class="fontsz2"> 锛烇紴锛烇紴锛烇紴</span></h2>
-
- <div class="bj">
- <p>
- <span class="bj-sp">姘村钩涓�</span>
- </p>
-
- <div class="textIndentation">
- 1.閫夋嫨棰�.
- <p>锛�1锛� 涓嬪垪琛ㄧず鏂规硶姝ｇ‘鐨勬槸锛堛��锛�.</p>
- <p>A.{a}鈭坽a锛宐锛宑}</p>
- <p>B.0鈭堚垍</p>
- <p>C.N+猥婲</p>
- <p>D.{x|x鏄棤闄愬皬鏁皚={x|x鏄棤鐞嗘暟}</p>
- <p>
- 锛�2锛� 鏂圭▼锛坸2+1锛夛紙x-2锛夛紙x-3锛�=0鐨勮В闆嗚〃绀轰笉姝ｇ‘鐨勬槸锛堛��锛�.
- </p>
- <p>A.{2锛�3}</p>
- <p>B.{3锛�2}</p>
- <p>C.{x|锛坸2+1锛夛紙x-2锛夛紙x-3锛�=0}</p>
- <p>D.{锛�2锛�3锛墋</p>
- <p>
- 锛�3锛� 璁惧叏闆嗕负N锛岄泦鍚圡={x鈭圢|x鈮�8}锛屽垯鈭丯M涓厓绱犵殑涓暟涓猴紙銆�锛�.
- </p>
- <p>A.7涓�</p>
- <p>B.8涓�</p>
- <p>C.9涓�</p>
- <p>D.鏃犻檺澶氫釜</p>
- <p>锛�4锛� 闆嗗悎{x鈭圢|-1锛渪鈮�2}鐨勭湡瀛愰泦鐨勪釜鏁版槸锛堛��锛�.</p>
- <p>A.15涓�</p>
- <p>B.16涓�</p>
- <p>C.7涓�</p>
- <p>D.8涓�</p>
- <p>
- 锛�5锛�
- 宸茬煡鍏ㄩ泦U={x鈭圢+|-2锛渪锛�9}锛岄泦鍚圡={3锛�4锛�5}锛孭={1锛�3锛�6}锛屽垯{2锛�7锛�8}鏄紙銆�锛�.
- </p>
- <p>A.M鈭狿</p>
- <p>B.M鈭㏄</p>
- <p>C.锛堚垇UM锛夆埅锛堚垇UP锛�</p>
- <p>D.锛堚垇UM锛夆埄锛堚垇UP锛�</p>
- </div>
-
- <p>
- 2.宸茬煡鍏ㄩ泦涓篟锛岄泦鍚圓={x|x鈮�1}锛孊={x|0鈮锛�3}锛屽垯A鈭狟=____锛孉鈭〣=____锛屸垇R锛圓鈭狟锛�=____锛屸垇R锛圓鈭〣锛�=____.
- </p>
- <p>
- 3.宸茬煡闆嗗悎A={2锛�4锛�5锛�9锛�11}锛孊={1锛�3锛�5锛�7锛�9}锛屽垯A鈭狟=____锛孉鈭〣=____.
- </p>
- <p>
- 4.璁惧叏闆哢=R锛岄泦鍚圓={x|x锛�-1}锛孊={x|-3鈮锛�3}锛屾眰A鈭〣锛孉鈭狟锛屸垇UA锛屸垇UB锛岋紙鈭乁A锛夆埄锛堚垇UB锛夛紝鈭乁锛圓鈭狟锛夛紝锛堚垇UA锛夆埅锛堚垇UB锛夛紝鈭乁锛圓鈭〣锛�.
- </p>
+ <div class="bj" >
+ <examinations :cardList="questionData[36]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+ v-if="questionData" ></examinations>
</div>
</div>
</div>
</div>
<!-- 030 -->
- <div class="page-box" page="37">
- <div v-if="showPageList.indexOf(37) > -1">
- <ul class="page-header-odd fl al-end">
- <li>030</li>
- <li>鏁板.鍩虹妯″潡</li>
- <li>涓婂唽</li>
- </ul>
-
- <div class="padding-116">
- <div class="bj">
- <p>
- <span class="bj-sp">姘村钩浜�</span>
- </p>
-
- <p>1.宸茬煡闆嗗悎A={-4锛寈2}锛孊={x-1锛�9}锛屾眰婊¤冻涓嬪垪鏉′欢鐨剎鐨勫��.</p>
- <p>锛�1锛� 9鈭圓鈭〣锛涳紙2锛� {9}=A鈭〣.</p>
- <p>2.闆嗗悎M={x|ax2+2x+1=0}鍙湁涓�涓厓绱狅紝鍐欏嚭鐢盿鐨勫�肩粍鎴愮殑闆嗗悎.</p>
- <p>
- 3.璁鹃泦鍚圓={x|-4锛渪锛�2}锛孊={x|-m-1锛渪锛渕-1锛宮锛�0}锛屾眰鍒嗗埆婊¤冻涓嬪垪鏉′欢鐨刴鐨勫彇鍊肩殑闆嗗悎.
- </p>
- <p>锛�1锛� A鈯咮锛涳紙2锛� A鈭〣=鈭�.</p>
- <p>4.宸茬煡闆嗗悎A={x|x2-3x+2=0}锛孊={x|x2-ax+a-1=0}.</p>
- <p>锛�1锛� 鐢ㄥ垪涓炬硶琛ㄧず闆嗗悎A锛孊锛�</p>
- <p>锛�2锛� 濡傛灉A=B锛屾眰a鐨勫��.</p>
- <p>
- 5.宸茬煡鍏ㄩ泦U={x|x鏄笉澶т簬20鐨勮川鏁皚锛孉鈯哢锛孊鈯哢锛屼笖A鈭╋紙鈭乁B锛�={3锛�5}锛孊鈭╋紙鈭乁A锛�={7锛�19}锛岋紙鈭乁A锛夆埄锛堚垇UB锛�={2锛�17}.
- </p>
- <p>锛�1锛� 鐢╒enn 鍥捐〃绀哄凡鐭ユ潯浠朵腑闆嗗悎涔嬮棿鐨勫叧绯伙紱</p>
- <p>锛�2锛� 姹傞泦鍚圓鍜孊.</p>
- </div>
- </div>
- </div>
+ <div class="page-box hidePage" page="37">
</div>
<!-- 鍑芥暟鎺т欢寮圭獥 -->
@@ -3060,7 +2429,6 @@
<script>
import examinations from '@/components/examinations/index.vue'
-// import graffiti from '@/components/graffiti/index.vue'
import { getResourcePath } from '@/assets/methods/resources'
import {
getCollectResource,
diff --git a/src/books/mathBook/view/components/chapter002.vue b/src/books/mathBook/view/components/chapter002.vue
index f347dc1..238435a 100644
--- a/src/books/mathBook/view/components/chapter002.vue
+++ b/src/books/mathBook/view/components/chapter002.vue
@@ -1,22 +1,72 @@
<template>
- <div class="chapter" num="3">
-
+ <div class="chapter" num="2">
<!-- 绗簩鍗曞厓棣栭〉 -->
<div class="page-box" page="38">
<div v-if="showPageList.indexOf(38) > -1">
-
- <div class="padding-116">绗簩鍗曞厓棣栭〉</div>
+ <h1 id="a006">
+ <img class="img-0" alt="" src="../../assets/images/dy2.jpg" />
+ </h1>
+ <div class="padding-116">
+ <p>
+ 鐗╀綋鏈夎交鏈夐噸锛岄�熷害鏈夊揩鏈夋參锛屾皵娓╂湁楂樻湁浣庯紝鍏夌嚎鏈夊己鏈夊急锛岄潰绉湁澶ф湁灏忊�︹�﹀湪瀹為檯鐢熸椿涓紝杩欑涓嶇浉绛夌殑鏁伴噺鍏崇郴鏃犲涓嶅湪.鎴戜滑鍙互鍒╃敤涓嶇瓑鍏崇郴鏋勫缓涓嶇瓑寮忥紝骞堕�氳繃涓嶇瓑寮忚В鍐崇幇瀹炵敓娲讳腑鐨勯棶棰�.
+ </p>
+ <p>
+ 渚嬪锛岄殢鐫�鏃朵唬鐨勮繘姝ワ紝浜轰滑瀵逛綇瀹呯殑瑕佹眰瓒婃潵瓒婇珮.閫氬父浜轰滑鍦ㄩ�夋嫨浣忓畢鏃讹紝閮戒細鑰冭檻閲囧厜闂锛岃繖灏遍渶瑕佹妸绐楁埛寮�寰楀敖鍙兘澶�.鎸夐噰鍏夋爣鍑嗭紝绐楁埛鐨勬湁鏁堥�忓厜闈㈢Н涓庡鍐呭湴闈㈤潰绉殑姣斿�煎簲涓嶅皬浜�
+ <math display="0">
+ <mfrac>
+ <mn>1</mn>
+ <mn>7</mn>
+ </mfrac>
+ </math>锛岃繖涓瘮鍊艰秺澶э紝浣忓畢鐨勯噰鍏夋晥鏋滆秺濂�.
+ </p>
+ <p>
+ 濡傛灉绐楁埛鐨勬湁鏁堥�忓厜闈㈢Н鍜屽鍐呭湴闈㈤潰绉悓鏃跺鍔犵浉鍚岀殑闈㈢Н锛屾槸涓嶆槸閲囧厜鏁堟灉灏变細鏇村ソ鍛紵瑙ｅ喅杩欐牱鐨勯棶棰樺氨闇�瑕佺敤鍒版湁鍏充笉绛夊紡鐨勭煡璇�.
+ </p>
+ <p>
+ 涓嶇瓑寮忔槸鏁板涓殑閲嶈鍐呭锛屽畠鍏锋湁搴旂敤骞挎硾銆佸彉鎹㈢伒娲荤殑鐗圭偣锛屾槸鐮旂┒鏁伴噺澶у皬鍏崇郴鐨勫繀澶囩煡璇嗭紝涓庢暟瀛︾殑鍏朵粬鍒嗘敮鍐呭鏈夌潃瀵嗗垏鐨勮仈绯伙紝涔熸槸瀛︿範楂樼瓑鏁板鐨勫熀纭�鍜屽伐鍏�.
+ </p>
+ <p>
+ 鏈崟鍏冨湪鍒濅腑瀛︿範鐨勫熀纭�涔嬩笂锛岃繘涓�姝ュ涔犱笉绛夊紡鐨勫熀鏈�ц川銆佸尯闂淬�佷竴鍏冧簩娆′笉绛夊紡銆佸惈缁濆鍊肩殑涓嶇瓑寮忕瓑.瀛︿範鏍规嵁鏁伴噺鍏崇郴鍒楀嚭鐩稿簲鐨勪笉绛夊紡锛屽苟鍒╃敤杩欎簺涓嶇瓑寮忔壘鍒伴棶棰樼殑瑙ｅ喅鏂规锛屾彁鍗囨暟瀛﹁繍绠椼�佺洿瑙傛兂璞°�侀�昏緫鎺ㄧ悊鍜屾暟瀛﹀缓妯＄瓑鏍稿績绱犲吇.
+ </p>
+ </div>
</div>
</div>
<!-- 鐩爣 -->
<div class="page-box" page="39">
<div v-if="showPageList.indexOf(39) > -1">
- <div class="padding-116">鐩爣</div>
+ <div class="padding-116">
+ <p class="left">
+ <img class="inline2" alt="" src="../../assets/images/xxmb.jpg" />
+ </p>
+ <div class="fieldset">
+ <p>1.涓嶇瓑寮忕殑鍩烘湰鎬ц川.</p>
+ <p>锛�1锛� 鎺屾彙鍒ゆ柇涓や釜鏁帮紙寮忥級澶у皬鐨勨�滀綔宸瘮杈冩硶鈥濓紱</p>
+ <p>锛�2锛� 浜嗚В涓嶇瓑寮忕殑鍩烘湰鎬ц川.</p>
+ <p>2.鍖洪棿.</p>
+ <p>鐞嗚В鍖洪棿鐨勬蹇�.</p>
+ <p>3.涓�鍏冧簩娆′笉绛夊紡.</p>
+ <p>锛�1锛� 浜嗚В涓�鍏冧簩娆′笉绛夊紡鐨勬蹇碉紱</p>
+ <p>
+ 锛�2锛� 浜嗚В浜屾鍑芥暟銆佷竴鍏冧簩娆℃柟绋嬩笌涓�鍏冧簩娆′笉绛夊紡涓夎�呬箣闂寸殑鍏崇郴锛�
+ </p>
+ <p>锛�3锛� 鎺屾彙涓�鍏冧簩娆′笉绛夊紡鐨勮В娉�.</p>
+ <p>4.鍚粷瀵瑰�肩殑涓嶇瓑寮�.</p>
+ <p>
+ 锛�1锛�
+ 浜嗚В鍚粷瀵瑰�肩殑涓嶇瓑寮弢<i>x</i>|锛�<i>a</i>鍜寍<i>x</i>|锛�<i>a</i>锛�<i>a</i>锛�0锛夌殑鍚箟锛�
+ </p>
+ <p>
+ 锛�2锛�
+ 鎺屾彙褰㈠|<i>ax</i>+<i>b</i>|锛�<i>c</i>鍜寍<i>ax</i>+<i>b</i>|锛�<i>c</i>锛�<i>c</i>锛�0锛夌殑涓嶇瓑寮忕殑瑙ｆ硶.
+ </p>
+ <p>5.涓嶇瓑寮忕殑搴旂敤.</p>
+ <p>
+ 鍒濇鎺屾彙浠庡疄闄呴棶棰樹腑鎶借薄鍑轰竴鍏冧簩娆′笉绛夊紡妯″瀷瑙ｅ喅绠�鍗曞疄闄呴棶棰樼殑鏂规硶.
+ </p>
+ </div>
+ </div>
</div>
</div>
-
-
-
<!-- 033 -->
<div class="page-box" page="40">
<div v-if="showPageList.indexOf(40) > -1">
@@ -28,10 +78,153 @@
<p><span>033</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="left">
+ <img class="inline2" alt="" src="../../assets/images/xxmb.jpg" />
+ </p>
+ <div class="fieldset">
+ <p>1.涓嶇瓑寮忕殑鍩烘湰鎬ц川.</p>
+ <p>锛�1锛� 鎺屾彙鍒ゆ柇涓や釜鏁帮紙寮忥級澶у皬鐨勨�滀綔宸瘮杈冩硶鈥濓紱</p>
+ <p>锛�2锛� 浜嗚В涓嶇瓑寮忕殑鍩烘湰鎬ц川.</p>
+ <p>2.鍖洪棿.</p>
+ <p>鐞嗚В鍖洪棿鐨勬蹇�.</p>
+ <p>3.涓�鍏冧簩娆′笉绛夊紡.</p>
+ <p>锛�1锛� 浜嗚В涓�鍏冧簩娆′笉绛夊紡鐨勬蹇碉紱</p>
+ <p>
+ 锛�2锛� 浜嗚В浜屾鍑芥暟銆佷竴鍏冧簩娆℃柟绋嬩笌涓�鍏冧簩娆′笉绛夊紡涓夎�呬箣闂寸殑鍏崇郴锛�
+ </p>
+ <p>锛�3锛� 鎺屾彙涓�鍏冧簩娆′笉绛夊紡鐨勮В娉�.</p>
+ <p>4.鍚粷瀵瑰�肩殑涓嶇瓑寮�.</p>
+ <p>
+ 锛�1锛�
+ 浜嗚В鍚粷瀵瑰�肩殑涓嶇瓑寮弢<i>x</i>|锛�<i>a</i>鍜寍<i>x</i>|锛�<i>a</i>锛�<i>a</i>锛�0锛夌殑鍚箟锛�
+ </p>
+ <p>
+ 锛�2锛�
+ 鎺屾彙褰㈠|<i>ax</i>+<i>b</i>|锛�<i>c</i>鍜寍<i>ax</i>+<i>b</i>|锛�<i>c</i>锛�<i>c</i>锛�0锛夌殑涓嶇瓑寮忕殑瑙ｆ硶.
+ </p>
+ <p>5.涓嶇瓑寮忕殑搴旂敤.</p>
+ <p>
+ 鍒濇鎺屾彙浠庡疄闄呴棶棰樹腑鎶借薄鍑轰竴鍏冧簩娆′笉绛夊紡妯″瀷瑙ｅ喅绠�鍗曞疄闄呴棶棰樼殑鏂规硶.
+ </p>
+ </div>
+ <h2 id="b007">
+ 2.1 涓嶇瓑寮忕殑鍩烘湰鎬ц川<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+ </h2>
+ <h3 id="c012">
+ 2.1.1 涓嶇瓑寮忕殑鍩烘湰鎬ц川<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/zshg.jpg" />
+ </p>
+ </div>
+ <p class="block">鎴戜滑鐭ラ亾锛�</p>
+ <p class="block">锛�1锛� <i>a</i>锛�<i>b</i>鈬�<i>a</i>-<i>b</i>锛�0锛�</p>
+ <p class="block">锛�2锛� <i>a</i>锛�<i>b</i>鈬�<i>b</i>锛�<i>a</i>锛�</p>
+ <p class="block">
+ 锛�3锛�
+ 鑻�<i>a</i>锛�<i>b</i>锛�<i>b</i>锛�<i>c</i>锛屽垯<i>a</i>锛�<i>c</i>.
+ </p>
+ <p class="block">鍒濅腑鎴戜滑杩樺涔犺繃涓嶇瓑寮忕殑涓嬪垪鎬ц川锛�</p>
+ <p class="block">
+ <b>鎬ц川1</b>
+ <i>a</i>锛�<i>b</i>鈬�<i>a</i>卤<i>c</i>锛�<i>b</i>卤<i>c</i>.
+ </p>
+ <p class="block">
+ <b>鎬ц川2</b>
+ <i>a</i>锛�<i>b</i>锛�<i>c</i>锛�0鈬�<i>ac</i>锛�<i>bc</i>锛堟垨<math display="0">
+ <mfrac>
+ <mi>a</mi>
+ <mi>c</mi>
+ </mfrac>
+ <mo>锛�</mo>
+ <mfrac>
+ <mi>b</mi>
+ <mi>c</mi>
+ </mfrac>
+ </math>锛�.
+ </p>
+ <p class="block">
+ <b>鎬ц川3</b>
+ <i>a</i>锛�<i>b</i>锛�<i>c</i>锛�0鈬�<i>ac</i>锛�<i>bc</i>锛堟垨<math display="0">
+ <mfrac>
+ <mi>a</mi>
+ <mi>c</mi>
+ </mfrac>
+ <mo>锛�</mo>
+ <mfrac>
+ <mi>b</mi>
+ <mi>c</mi>
+ </mfrac>
+ </math>锛�.
+ </p>
+ </div>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /></p>
+ <p>
+ 鏈夎鐐硅涓猴紝鏈�缇庝汉浣撶殑涓嬪崐韬暱锛堣倸鑴愯嚦鑴氱殑瑙﹀湴鐐圭殑闀垮害锛変笌鍏ㄨ韩闀夸箣姣旀槸<math display="0">
+ <mfrac>
+ <mrow>
+ <msqrt>
+ <mn>5</mn>
+ </msqrt>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mrow>
+ <msqrt>
+ <mn>5</mn>
+ </msqrt>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ <mo>鈮�</mo>
+ <mn>0.618</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛岃繖琚О涓洪粍閲戝垎鍓叉瘮渚�.鏌愯姯钑捐垶婕斿憳鍏ㄨ韩闀�166cm锛屼笅鍗婅韩闀�98cm.琛ㄦ紨杩囩▼涓紝鑺暰鑸炴紨鍛樹細绔嬭捣鑴氬皷璺宠垶锛屾鏃惰倸鑴愪笌鑴氱殑瑙﹀湴鐐圭殑璺濈澧炲姞浜�8
+ cm.璇曢棶锛氳鑺暰鑸炴紨鍛樹笅鍗婅韩闀夸笌鍏ㄨ韩闀跨殑姣斿�硷紝鍦ㄨ剼灏栫珛璧峰墠鍚庡摢涓ぇ锛�
+ 鍝竴涓洿鎺ヨ繎0.618锛�
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 璇ヨ姯钑捐垶婕斿憳鑴氬皷绔嬭捣鍓嶏紝涓嬪崐韬暱涓庡叏韬暱鐨勬瘮鍊间负<math display="0">
+ <mfrac>
+ <mn>98</mn>
+ <mn>166</mn>
+ </mfrac>
+ </math>锛涜剼灏栫珛璧峰悗锛屼笅鍗婅韩闀夸笌鍏ㄨ韩闀跨殑姣斿�间负<math display="0">
+ <mfrac>
+ <mrow>
+ <mn>98</mn>
+ <mo>+</mo>
+ <mn>8 </mn>
+ </mrow>
+ <mrow>
+ <mn>166</mn>
+ <mo>+</mo>
+ <mn>8</mn>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>106</mn>
+ <mn>174</mn>
+ </mfrac>
+ </math>
+ .鏈瑕佹眰姣旇緝杩欎袱涓垎鏁扮殑澶у皬.
+ </p>
+ </div>
</div>
</div>
-
<!-- 034 -->
<div class="page-box" page="41">
<div v-if="showPageList.indexOf(41) > -1">
@@ -40,8 +233,70 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
+ <div class="padding-116">
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+ <p>
+ 涓轰簡鍊熷姪涓嶇瓑寮忕煡璇嗚В鍐充笂闈㈢殑闂锛屾垜浠渶瑕佽繘涓�姝ョ爺绌朵笉绛夊紡鐨勬�ц川.鏍规嵁鍒濅腑瀛﹁繃鐨勪笉绛夊紡鐨�3涓熀鏈�ц川锛屽彲浠ュ緱鍒颁竴绯诲垪鎺ㄨ.
+ </p>
+ <p>鏍规嵁鎬ц川1锛屽彲寰椾笅鍒楁帹璁�.</p>
+ <p>
+ <b>鎺ㄨ1</b>
+ <i>a</i>锛�<i>b</i>锛�<i>c</i>锛�<i>d</i>鈬�<i>a</i>+<i>c</i>锛�<i>b</i>+<i>d</i>.
+ </p>
+ <p><b>璇佹槑</b> 鏍规嵁鎬ц川1锛屽彲鐭�</p>
+ <p class="center">
+ <i>a</i>锛�<i>b</i>鈬�<i>a</i>+<i>c</i>锛�<i>b</i>+<i>c</i>锛�
+ </p>
+ <p class="center">
+ <i>c</i>锛�<i>d</i>鈬�<i>c</i>+<i>b</i>锛�<i>d</i>+<i>b</i>锛屽嵆<i>b</i>+<i>c</i>锛�<i>b</i>+<i>d</i>.
+ </p>
+ <p>
+ 浠庤��<i>a</i>+<i>c</i>锛�<i>b</i>+<i>c</i>锛�<i>b</i>+<i>d</i>锛屽嵆<i>a</i>+<i>c</i>锛�<i>b</i>+<i>d</i>.
+ </p>
+ <p>渚嬪锛�5锛�1锛�3锛�-2锛屾牴鎹帹璁�1锛屾湁5+3锛�1+锛�-2锛夛紝鍗�8锛�-1.</p>
+ <p>
+ <b>鎺ㄨ2</b> <i>a</i>+<i>b</i>锛�<i>c</i>鈬�<i>a</i>锛�<i>c</i>-<i>b</i>.
+ </p>
+ <p>鏍规嵁鎬ц川2锛屽彲寰椾笅鍒楁帹璁�.</p>
+ <p>
+ <b>鎺ㄨ3</b>
+ <i>a</i>锛�<i>b</i>锛�0锛�<i>c</i>锛�<i>d</i>锛�0鈬�<i>ac</i>锛�<i>bd</i>.
+ </p>
+ <div class="bk-hzjl">
+ <div class="bj1-hzjl">
+ <p class="left">
+ <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
+ </p>
+ </div>
+ <examinations :cardList="questionData[41]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
+ </div>
- <div class="padding-116"></div>
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�宸茬煡<i>a</i>锛�<i>b</i>锛�0.
+ </p>
+ <p>锛�1锛� 姣旇緝2<i>a</i>涓�2<i>b</i>鐨勫ぇ灏忥紱</p>
+ <p>锛�2锛� 姣旇緝-2<i>a</i>涓�-2<i>b</i>鐨勫ぇ灏忥紱</p>
+ <p>锛�3锛� 姣旇緝<i>ac</i>涓�<i>bc</i>鐨勫ぇ灏�.</p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负<i>a</i>锛�<i>b</i>锛�2锛�0锛屾牴鎹�ц川2锛屾湁2<i>a</i>锛�2<i>b</i>.
+ </p>
+ <p>
+ 锛�2锛�
+ 鍥犱负<i>a</i>锛�<i>b</i>锛�-2锛�0锛屾牴鎹�ц川3锛屾湁-2<i>a</i>锛�-2<i>b</i>.
+ </p>
+ <p>锛�3锛� 鑻�<i>c</i>锛�0锛屾牴鎹�ц川2锛屾湁<i>ac</i>锛�<i>bc</i>.</p>
+ <p>鑻�<i>c</i>锛�0锛屾牴鎹�ц川3锛屾湁<i>ac</i>锛�<i>bc</i>.</p>
+ <p>鑻�<i>c</i>=0锛屽垯鏈�<i>ac</i>=<i>bc</i>=0锛屾墍浠�<i>ac</i>=<i>bc</i>.</p>
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�宸茬煡<i>a</i>锛�<i>b</i>锛屾瘮杈�<i>a</i>-1涓�<i>b</i>-2鐨勫ぇ灏�.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 鍥犱负<i>a</i>锛�<i>b</i>锛�-1锛�-2锛�
+ </p>
+ <p>鏍规嵁鎺ㄨ1锛屾湁<i>a</i>+锛�-1锛夛紴<i>b</i>+锛�-2锛夛紝</p>
+ <p>鍗�<i>a</i>-1锛�<i>b</i>-2.</p>
+ </div>
</div>
</div>
<!-- 035 -->
@@ -55,7 +310,173 @@
<p><span>035</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>1.鐢ㄢ�滐紴鈥濇垨鈥滐紲鈥濆～绌�.</p>
+ <p>
+ 锛�1锛� <i>a</i>+5___<i>b</i>+5锛�<i>a</i>锛�<i>b</i>锛夛紱锛�2锛�
+ <i>x</i>+5___<i>x</i>+2锛�
+ </p>
+ <p>
+ 锛�3锛� m+1___<i>m</i>-1锛涳紙4锛�
+ -5<i>p</i>___-5<i>q</i>锛�<i>p</i>锛�<i>q</i>锛�.
+ </p>
+ <p>2.鐢ㄢ�滐紴鈥濇垨鈥滐紲鈥濆～绌�.</p>
+ <p>
+ 锛�1锛� 鑻�4<i>x</i>锛�2锛屽垯<i>x</i>___<math display="0">
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛涳紙2锛� 鑻�<i>a</i>锛�0锛屽垯2<i>a</i>___<i>a</i>.
+ </p>
+ </div>
+ <h3 id="c013">2.1.2 浣滃樊姣旇緝娉�<span class="fontsz2">锛烇紴锛�</span></h3>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 鎴戜滑鐭ラ亾瀹炴暟鍙互姣旇緝澶у皬.鏁板涓粡甯哥敤涓嬮潰鐨勭瓑浠峰叧绯绘瘮杈�<i>a</i>锛�<i>b</i>鐨勫ぇ灏�.
+ </p>
+ <p class="center"><i>a</i>-<i>b</i>锛�0鈬�<i>a</i>锛�<i>b</i>锛�</p>
+ <p class="center"><i>a</i>-<i>b</i>锛�0鈬�<i>a</i>锛�<i>b</i>锛�</p>
+ <p class="center"><i>a</i>-<i>b</i>=0鈬�<i>a</i>=<i>b</i>.</p>
+ <p>
+ 鐢辨鍙锛屾瘮杈�<i>a</i>锛�<i>b</i>鐨勫ぇ灏忥紝鍙鍒ゆ柇瀹冧滑鐨勫樊<i>a</i>-<i>b</i>涓�0鐨勫ぇ灏忓叧绯诲嵆鍙�.
+ </p>
+ <p>
+ 渚嬪锛屾垜浠彲浠ヤ綔宸瘮杈�<i>a</i><sup>2</sup>+1涓�2<i>a</i>鐨勫ぇ灏忥紙<i>a</i>鈮�1锛�.
+ </p>
+ <p>
+ 鍥犱负锛�<i>a</i><sup>2</sup>+1锛�-2<i>a</i>=<i>a</i><sup>2</sup>-2<i>a</i>+1=锛�<i>a</i>-1锛�<sup>2</sup>锛屼笖褰�<i>a</i>鈮�1鏃讹紝锛�<i>a</i>-1锛�<sup>2</sup>锛�0锛屾墍浠�<i>a</i><sup>2</sup>+1锛�2<i>a</i>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�鍒嗘瀽鏈妭鈥滈棶棰樻彁鍑衡�濅腑鐨勯棶棰�.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 浣滃樊鍙緱<math display="0">
+ <mfrac>
+ <mn>98</mn>
+ <mn>166</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mn>98</mn>
+ <mo>+</mo>
+ <mn>8</mn>
+ </mrow>
+ <mrow>
+ <mn>166</mn>
+ <mo>+</mo>
+ <mn>8</mn>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>98</mn>
+ <mn>166</mn>
+ </mfrac>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>106</mn>
+ <mn>174</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mn>98</mn>
+ <mo>脳</mo>
+ <mn>174</mn>
+ <mo>鈭�</mo>
+ <mn>106</mn>
+ <mo>脳</mo>
+ <mn>166</mn>
+ </mrow>
+ <mrow>
+ <mn>166</mn>
+ <mo>脳</mo>
+ <mn>174</mn>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>544</mn>
+ </mrow>
+ <mrow>
+ <mn>166</mn>
+ <mo>脳</mo>
+ <mn>174</mn>
+ </mrow>
+ </mfrac>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ </math>锛屾墍浠�<math display="0">
+ <mfrac>
+ <mn>98</mn>
+ <mn>166</mn>
+ </mfrac>
+ <mo>锛�</mo>
+ <mfrac>
+ <mn>106</mn>
+ <mn>174</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ 鍙堝洜涓�<math display="0">
+ <mfrac>
+ <mn>98</mn>
+ <mn>166</mn>
+ </mfrac>
+ <mo>鈮�</mo>
+ <mn>0.590</mn>
+ <mn>4</mn>
+ </math>锛�<math display="0">
+ <mfrac>
+ <mn>106</mn>
+ <mn>174</mn>
+ </mfrac>
+ <mo>鈮�</mo>
+ <mn>0.690</mn>
+ <mn>2</mn>
+ </math>锛屾墍浠ョ珛璧疯剼灏栧悗锛岃鑺暰鑸炴紨鍛樼殑涓嬪崐韬暱涓庡叏韬暱鐨勬瘮鍊兼洿鎺ヨ繎0.618.
+ </p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 鏈緥涓紝浣滃樊鏃朵篃鍙互杩欐牱璁＄畻锛�
+ <math display="0">
+ <mfrac>
+ <mn>98</mn>
+ <mn>166</mn>
+ </mfrac>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>106</mn>
+ <mn>174</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mn>1</mn>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>68</mn>
+ <mn>166</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>-</mo>
+ </math>
+ </p>
+ </div>
+ </div>
</div>
</div>
<!-- 036 -->
@@ -66,7 +487,241 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bk">
+ <p class="block">
+ <math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mn>1</mn>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>68</mn>
+ <mn>174</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mfrac>
+ <mn>68</mn>
+ <mn>174</mn>
+ </mfrac>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>68</mn>
+ <mn>166</mn>
+ </mfrac>
+ </math>
+ .鍥犱负鍒嗗瓙鐩稿悓鏃讹紝鍒嗘瘝瓒婂ぇ锛屽垎鏁拌秺灏忥紝鎵�浠�
+ <math display="0">
+ <mfrac>
+ <mn>98</mn>
+ <mn>166</mn>
+ </mfrac>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>106</mn>
+ <mn>174</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>68</mn>
+ <mn>174</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>68</mn>
+ <mn>166</mn>
+ </mfrac>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ </math>.
+ </p>
+ </div>
+
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�宸茬煡<i>b</i>锛�<i>a</i>锛�0锛�<i>c</i>锛�0锛屾瘮杈�<math display="0">
+ <mfrac>
+ <mrow>
+ <mi>a</mi>
+ <mo>+</mo>
+ <mi>c</mi>
+ </mrow>
+ <mrow>
+ <mi>b</mi>
+ <mo>+</mo>
+ <mi>c</mi>
+ </mrow>
+ </mfrac>
+ </math>涓�<math display="0">
+ <mfrac>
+ <mi>a</mi>
+ <mi>b</mi>
+ </mfrac>
+ </math>鐨勫ぇ灏�.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 浣滃樊鍙緱<math display="0">
+ <mfrac>
+ <mrow>
+ <mi>a</mi>
+ <mo>+</mo>
+ <mi>c</mi>
+ </mrow>
+ <mrow>
+ <mi>b</mi>
+ <mo>+</mo>
+ <mi>c</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mi>a</mi>
+ <mi>b</mi>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>a</mi>
+ <mo>+</mo>
+ <mi>c</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mi>b</mi>
+ </mrow>
+ <mrow>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>b</mi>
+ <mo>+</mo>
+ <mi>c</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mi>b</mi>
+ </mrow>
+ </mfrac>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mi>a</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>b</mi>
+ <mo>+</mo>
+ <mi>c</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </mrow>
+ <mrow>
+ <mi>b</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>b</mi>
+ <mo>+</mo>
+ <mi>c</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>b</mi>
+ <mo>鈭�</mo>
+ <mi>a</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mi>c</mi>
+ </mrow>
+ <mrow>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>b</mi>
+ <mo>+</mo>
+ <mi>c</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mi>b</mi>
+ </mrow>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ 鍥犱负<i>b</i>锛�<i>a</i>锛�0锛屾墍浠�<i>b</i>-<i>a</i>锛�0.鍙堝洜涓�<i>c</i>锛�0锛屾墍浠�<math display="0">
+ <mfrac>
+ <mrow>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>b</mi>
+ <mo>鈭�</mo>
+ <mi>a</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mi>c</mi>
+ </mrow>
+ <mrow>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>b</mi>
+ <mo>+</mo>
+ <mi>c</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mi>b</mi>
+ </mrow>
+ </mfrac>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ </math>锛�
+ </p>
+ <p>
+ 鍗�<math display="0">
+ <mfrac>
+ <mrow>
+ <mi>a</mi>
+ <mo>+</mo>
+ <mi>c</mi>
+ </mrow>
+ <mrow>
+ <mi>b</mi>
+ <mo>+</mo>
+ <mi>c</mi>
+ </mrow>
+ </mfrac>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>a</mi>
+ <mi>b</mi>
+ </mfrac>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ </math>锛屾墍浠�<math display="0">
+ <mfrac>
+ <mrow>
+ <mi>a</mi>
+ <mo>+</mo>
+ <mi>c</mi>
+ </mrow>
+ <mrow>
+ <mi>b</mi>
+ <mo>+</mo>
+ <mi>c</mi>
+ </mrow>
+ </mfrac>
+ <mo>锛�</mo>
+ <mfrac>
+ <mi>a</mi>
+ <mi>b</mi>
+ </mfrac>
+ </math>.
+ </p>
+ <examinations :cardList="questionData[43]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
+ </div>
</div>
</div>
<!-- 037 -->
@@ -80,7 +735,35 @@
<p><span>037</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c014">涔犻2.1<span class="fontsz2">锛烇紴锛�</span></h3>
+ <examinations :cardList="questionData[44]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
+ <h2 id="b008">2.2 鍖洪棿<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span></h2>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left"><img class="img-gn1" alt="" src="../../assets/images/gn.jpg" /></p>
+ </div>
+ <p class="block">闂尯闂�</p>
+ <p class="block">寮�鍖洪棿</p>
+ <p class="block">宸﹂棴鍙冲紑鍖洪棿</p>
+ <p class="block">宸﹀紑鍙抽棴鍖洪棿</p>
+ </div>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 浠ヤ笉绛夊紡琛ㄧず鍏冪礌鍏卞悓鐗瑰緛鐨勬暟闆嗭紝杩樻湁涓�绉嶆洿涓虹畝鍗曠殑琛ㄧず鏂规硶锛屽彨<b>浣滃尯闂磋〃绀烘硶</b>.
+ </p>
+ <p>璁�<i>a</i>锛�<i>b</i>锛屾垜浠瀹氾細</p>
+ <p>
+ 锛�1锛�
+ 婊¤冻涓嶇瓑寮�<i>a</i>鈮�<i>x</i>鈮�<i>b</i>鐨�<i>x</i>鐨勯泦鍚堝彨浣�<b>闂尯闂�</b>锛岃〃绀轰负
+ 锛�<i>a</i>锛�<i>b</i>锛�.
+ </p>
+ <p>
+ 锛�2锛�
+ 婊¤冻涓嶇瓑寮�<i>a</i>锛�<i>x</i>锛�<i>b</i>鐨�<i>x</i>鐨勯泦鍚堝彨浣�<b>寮�鍖洪棿</b>锛岃〃绀轰负锛�<i>a</i>锛�<i>b</i>锛�.
+ </p>
+ </div>
</div>
</div>
<!-- 038 -->
@@ -91,7 +774,27 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ 锛�3锛�
+ 婊¤冻涓嶇瓑寮�<i>a</i>鈮�<i>x</i>锛�<i>b</i>鍜�<i>a</i>锛�<i>x</i>鈮�<i>b</i>鐨�<i>x</i>鐨勯泦鍚堝垎鍒彨浣�<b>宸﹂棴鍙冲紑鍖洪棿</b>鍜�<b>宸﹀紑鍙抽棴鍖洪棿</b>锛屽垎鍒〃绀轰负
+ 锛�<i>a</i>锛�<i>b</i>锛夛紝锛�<i>a</i>锛�<i>b</i>锛�.
+ </p>
+ <p>
+ 杩欓噷鐨�<i>a</i>涓�<i>b</i>閮藉彨浣滅浉搴斿尯闂寸殑绔偣.杩欎簺鍖洪棿杩樺彲浠ョ敤鏁拌酱琛ㄧず锛堝琛�2-1鎵�绀猴級.鍦ㄦ暟杞翠笂锛岀敤瀹炲績鐐硅〃绀哄寘鎷湪鍖洪棿鍐呯殑绔偣锛岀敤绌哄績鐐硅〃绀轰笉鍖呮嫭鍦ㄥ尯闂村唴鐨勭鐐�.
+ </p>
+ <p class="img">琛�2-1</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0049-1.jpg" /></p>
+ <p>
+ 瀹炴暟闆�<b>R</b>鍙互鐢ㄥ尯闂磋〃绀轰负锛�-鈭烇紝+鈭烇級.绗﹀彿鈥溾垶鈥濊浣溾�滄棤绌峰ぇ鈥濓紝瀹冧笉鏄竴涓叿浣撶殑鏁帮紝浠呰〃绀烘煇涓噺鍦ㄥ彉鍖栨椂锛岀粷瀵瑰�兼棤闄愬澶х殑瓒嬪娍.鈥�+鈭炩�濊浣溾�滄鏃犵┓澶р�濓紝琛ㄧず鏌愪釜閲忔部姝ｆ柟鍚戞棤闄愬澶э紱鈥�-鈭炩�濊浣溾�滆礋鏃犵┓澶р�濓紝琛ㄧず鏌愪釜閲忔部璐熸柟鍚戞棤闄愬彉鍖栵紝鍏剁粷瀵瑰�兼棤闄愬澶�.
+ </p>
+ <p>
+ 鎴戜滑杩樺彲浠ユ妸婊¤冻<i>x</i>鈮�<i>a</i>锛�<i>x</i>锛�<i>a</i>锛�<i>x</i>鈮�<i>b</i>锛�<i>x</i>锛�<i>b</i>鐨�<i>x</i>鐨勯泦鍚堢敤鍖洪棿鍒嗗埆琛ㄧず涓�
+ 锛�<i>a</i>锛�+鈭烇級锛岋紙<i>a</i>锛�+鈭烇級锛岋紙-鈭烇紝<i>b</i>锛斤紝锛�-鈭烇紝<i>b</i>锛夛紝濡傝〃2-2鎵�绀�.
+ </p>
+ <p class="img">琛�2-2</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0049-2.jpg" /></p>
+ </div>
</div>
</div>
<!-- 039 -->
@@ -105,7 +808,151 @@
<p><span>039</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bk mt-80">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 鍖洪棿涔熸槸涓�涓泦鍚堬紝瀹冩槸瀹炴暟闆嗙殑涓�涓瓙闆�.浣嗗苟闈炴墍鏈夌殑鏁伴泦閮借兘鐢ㄥ尯闂磋〃绀�.渚嬪锛岄泦鍚坽1锛�3锛�4锛�5锛�7锛�8锛�11锛�12}銆佽嚜鐒舵暟闆�<b>N</b>銆佹暣鏁伴泦<b>Z</b>灏变笉鑳界敤鍖洪棿琛ㄧず.
+ </p>
+ </div>
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�鎶婁笅鍒楅泦鍚堢敤鍖洪棿琛ㄧず鍑烘潵锛屽苟鎸囧嚭鍖洪棿鐨勭被鍨�.
+ </p>
+ <p>锛�1锛� {<i>x</i>|-3鈮�<i>x</i>鈮�1}锛涳紙2锛� {<i>x</i>|-1锛�<i>x</i>锛�2}锛�</p>
+ <p>
+ 锛�3锛�
+ <math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mi>x</mi>
+ <mrow>
+ <mo stretchy="false">|</mo>
+ </mrow>
+ <mfrac>
+ <mn>3</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo>鈮�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mn>4</mn>
+ <mo data-mjx-texclass="CLOSE">}</mo>
+ </mrow>
+ </math>锛涳紙4锛�
+ <math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mi>x</mi>
+ <mrow>
+ <mo stretchy="false">|</mo>
+ </mrow>
+ <mo>鈭�</mo>
+ <mn>6</mn>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">}</mo>
+ </mrow>
+ </math>锛�
+ </p>
+ <p>锛�5锛� {<i>x</i>|<i>x</i>鈮�2}锛涳紙6锛� {<i>x</i>|<i>x</i>锛�1}.</p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 锛�-3锛�1锛斤紝鏄棴鍖洪棿锛�
+ </p>
+ <p>锛�2锛夛紙-1锛�2锛夛紝鏄紑鍖洪棿锛�</p>
+ <p>
+ 锛�3锛�
+ <math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">[</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo>锛�</mo>
+ <mn>4</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛屾槸宸﹂棴鍙冲紑鍖洪棿锛�
+ </p>
+ <p>
+ 锛�4锛�
+ <math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mn>6</mn>
+ <mo>锛�</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">]</mo>
+ </mrow>
+ </math>锛屾槸宸﹀紑鍙抽棴鍖洪棿锛�
+ </p>
+ <p>锛�5锛� 锛�2锛�+鈭烇級锛屾槸宸﹂棴鍙冲紑鍖洪棿锛�</p>
+ <p>锛�6锛夛紙-鈭烇紝1锛夛紝鏄紑鍖洪棿.</p>
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�鐢ㄥ尯闂磋〃绀轰笉绛夊紡3<i>x</i>锛�9<i>x</i>+4鐨勮В闆嗭紝骞跺湪鏁拌酱涓婅〃绀哄嚭鏉�.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 瑙ｄ笉绛夊紡3<i>x</i>锛�9<i>x</i>+4锛屽緱
+ </p>
+ <math display="block">
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>2</mn>
+ <mn>3</mn>
+ </mfrac>
+ <mo>.</mo>
+ </math>
+ <p>
+ 鎵�浠ヤ笉绛夊紡鐨勮В闆嗙敤鍖洪棿琛ㄧず涓�<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>2</mn>
+ <mn>3</mn>
+ </mfrac>
+ <mo>锛�</mo>
+ <mo>+</mo>
+ <mi mathvariant="normal">鈭�</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛岃〃绀哄湪鏁拌酱涓婂鍥�2-1鎵�绀�.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0050-7.jpg" /></p>
+ <p class="img">鍥�2-1</p>
+ <p>
+ <span
+ class="zt-ls"><b>渚�3</b></span>銆�璁�<b>R</b>涓哄叏闆嗭紝闆嗗悎<i>A</i>={<i>x</i>|-5锛�<i>x</i>锛�6}锛�<i>B</i>={<i>x</i>|<i>x</i>鈮�3鎴�<i>x</i>鈮�-3}锛岀敤鍖洪棿琛ㄧず<i>A</i>鈭�<i>B</i>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ 鍦ㄦ暟杞翠笂灏嗛泦鍚�<i>A</i>锛�<i>B</i>琛ㄧず鍑烘潵锛屽鍥�2-2鎵�绀�.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0050-8.jpg" /></p>
+ <p class="img">鍥�2-2</p>
+ <p>
+ <i>A</i>鈭�<i>B</i>={<i>x</i>|-5锛�<i>x</i>锛�6}鈭﹞<i>x</i>|<i>x</i>鈮�3鎴�<i>x</i>鈮�-3}
+ </p>
+ <p>={<i>x</i>|-5锛�<i>x</i>鈮�-3}鈭獅<i>x</i>|3鈮�<i>x</i>锛�6}</p>
+ <p>=锛�-5锛�-3锛解埅锛�3锛�6锛�.</p>
+ </div>
</div>
</div>
<!-- 040 -->
@@ -116,7 +963,28 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>1.鐢ㄥ尯闂磋〃绀轰笅鍒楅泦鍚�.</p>
+ <p>锛�1锛� <i>A</i>={<i>x</i>|<i>x</i>锛�0}锛�</p>
+ <p>锛�2锛� <i>B</i>={<i>x</i>|<i>x</i>锛�0}锛�</p>
+ <p>锛�3锛� <i>M</i>={<i>x</i>|-1锛�<i>x</i>鈮�0}.</p>
+ <p>2.濉┖棰�.</p>
+ <p>锛�1锛� {<i>x</i>|-蟺鈮�<i>x</i>鈮は�}鐢ㄥ尯闂磋〃绀轰负______锛�</p>
+ <p>锛�2锛� {<i>x</i>|-蟺锛�<i>x</i>锛溝�}鐢ㄥ尯闂磋〃绀轰负______锛�</p>
+ <p>锛�3锛� {<i>x</i>|-蟺锛�<i>x</i>鈮は�}鐢ㄥ尯闂磋〃绀轰负______锛�</p>
+ <p>锛�4锛� {<i>x</i>|-蟺鈮�<i>x</i>锛溝�}鐢ㄥ尯闂磋〃绀轰负______锛�</p>
+ <p>锛�5锛� {<i>x</i>|<i>x</i>鈮ハ�}鐢ㄥ尯闂磋〃绀轰负______锛�</p>
+ <p>锛�6锛� {<i>x</i>|<i>x</i>锛�-蟺}鐢ㄥ尯闂磋〃绀轰负______.</p>
+ <p>
+ 3.璁�<b>R</b>涓哄叏闆嗭紝闆嗗悎<i>M</i>={<i>x</i>|4<i>x</i>锛�2<i>x</i>+4}锛�<i>P</i>={<i>x</i>|-1鈮�<i>x</i>鈮�1}锛岀敤鍖洪棿琛ㄧず涓嬪垪闆嗗悎.
+ </p>
+ <p>
+ 锛�1锛� <i>M</i>鈭�<i>P</i>锛�<i>M</i>鈭�<i>P</i>锛涳紙2锛� 鈭�<i><sub><b>R</b></sub>M</i>锛屸垇<i><sub><b>R</b></sub>P</i>.
+ </p>
+ </div>
+ </div>
</div>
</div>
<!-- 041 -->
@@ -130,7 +998,30 @@
<p><span>041</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c015">涔犻2.2<span class="fontsz2">锛烇紴锛�</span></h3>
+ <examinations :cardList="questionData[47]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
+ <h2 id="b009">
+ 2.3 涓�鍏冧簩娆′笉绛夊紡<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+ </h2>
+ <h3 id="c016">
+ 2.3.1 涓�鍏冧簩娆′笉绛夊紡鐨勬蹇�<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /></p>
+ <p class="center"><b>姹借溅鎬ュ埞杞︾殑鍋滆溅璺濈</b></p>
+ <p>
+ 闅忕潃浜烘皯鐢熸椿璐ㄩ噺鐨勬彁楂橈紝浜轰滑鐨勮喘杞︽剰鎰夸笂鍗�.2021骞存湯鍏ㄥ浗姘戠敤姹借溅淇濇湁閲�30
+ 151涓囪締锛屾瘮2020骞存湯澧炲姞2
+ 064涓囪締.鍦ㄦ鑳屾櫙涓嬶紝姹借溅琛岄┒瀹夊叏瓒婂彂闇�瑕佸紩璧蜂汉浠殑閲嶈銆傛苯杞﹁椹剁殑杩囩▼涓紝鐢变簬鎯�х殑浣滅敤锛屾�ュ埞杞﹀悗浼氱户缁悜鍓嶆粦琛屼竴娈佃窛绂绘墠鑳藉仠浣忥紝涓�鑸О杩欐璺濈涓烘苯杞︹�滄�ュ埞杞︾殑鍋滆溅璺濈鈥�.鎬ュ埞杞︾殑鍋滆溅璺濈<i>y</i>锛坢锛�
+ 涓庤溅閫�<i>x</i>锛坘m/h锛変箣闂村叿鏈夌‘瀹氱殑鍏崇郴.涓嶅悓杞﹀瀷鐨勬苯杞︽�ュ埞杞︾殑鍋滆溅璺濈涓庤溅閫熶箣闂寸殑鍏崇郴涓嶅悓锛屽悓涓�杞﹀瀷鐨勬苯杞︽�ュ埞杞︾殑鍋滆溅璺濈涓庤溅閫熶箣闂寸殑鍏崇郴涔熶細鍥犱负澶╂皵鏉′欢銆侀亾璺姸鍐电瓑鍥犵礌鐨勪笉鍚岃�屽彂鐢熷彉鍖�.
+ </p>
+ <p>
+ 鍦ㄦ甯稿ぉ姘旀潯浠朵笅锛屾煇姹借溅鍦ㄩ珮閫熷叕璺笂鎬ュ埞杞︾殑鍋滆溅璺濈<i>y</i>锛坢锛�
+ 涓庤溅閫�<i>x</i>锛坘m/h锛�
+ 涔嬮棿鐨勫嚱鏁板叧绯讳负<i>y</i>=0.007<i>x</i><sup>2</sup>+0.2<i>x</i>锛屽鏋滃笇鏈涜姹借溅鎬ュ埞杞︾殑鍋滆溅璺濈涓�
+ </p>
+ </div>
</div>
</div>
<!-- 042 -->
@@ -141,7 +1032,58 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="t0">
+ 瓒呰繃50m锛岄偅涔堝叾琛岄┒閫熷害鐨勮寖鍥存槸澶氬皯锛燂紙娉細楂橀�熷叕璺笂鐨勬渶浣庨�熷害涓�60
+ km/h锛�
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 涓婅堪闂瑕佹眰鈥滄苯杞︽�ュ埞杞︾殑鍋滆溅璺濈涓嶈秴杩�50
+ m鈥濓紝鍗硑鈮�50.鑰岃姹借溅鎬ュ埞杞︾殑鍋滆溅璺濈涓庤溅閫熶箣闂寸殑鍏崇郴涓�<i>y</i>=0.007<i>x</i><sup>2</sup>+0.2<i>x</i>锛屽洜姝ゅ緱鍒�
+ </p>
+ <p class="center">0.007<i>x</i><sup>2</sup>+0.2<i>x</i>鈮�50.</p>
+ <p>
+ 涓轰簡姹傚嚭琛岄┒閫熷害鐨勮寖鍥达紝鎴戜滑闇�瑕佸杩欎釜涓嶇瓑寮忚繘琛屾眰瑙�.杩欎釜涓嶇瓑寮忓彲浠ヨ繘涓�姝ユ暣鐞嗕负
+ </p>
+ <p class="center">0.007<i>x</i><sup>2</sup>+0.2<i>x</i>-50鈮�0.</p>
+ <p>
+ 杩欎釜涓嶇瓑寮忓彧鍚湁涓�涓湭鐭ユ暟<i>x</i>锛屽苟涓旀湭鐭ユ暟<i>x</i>鐨勬渶楂樻鏁颁负2.鍍忚繖鏍风殑涓嶇瓑寮忚繕鏈夊緢澶氾紝濡�2<i>x</i><sup>2</sup>+5<i>x</i>-3锛�0锛�3<i>x</i><sup>2</sup>+6<i>x</i>-1锛�0绛�.
+ </p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left"><img class="img-gn1" alt="" src="../../assets/images/gn.jpg" /></p>
+ </div>
+ <p class="block">涓�鍏冧簩娆′笉绛夊紡</p>
+ </div>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+ <p>
+ 涓�鑸湴锛屽彧鍚湁涓�涓湭鐭ユ暟锛屼笖鏈煡鏁扮殑鏈�楂樻鏁颁负2鐨勬暣寮忎笉绛夊紡锛屽彨浣�<b>涓�鍏冧簩娆′笉绛夊紡</b>.涓�鍏冧簩娆′笉绛夊紡鐨勪竴鑸〃杈惧紡涓�<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0锛堚墺0锛夋垨<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0锛堚墹0锛夛紝鍏朵腑<i>a</i>锛�<i>b</i>锛�<i>c</i>鍧囦负甯告暟锛屼笖<i>a</i>鈮�0.
+ </p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/zshg.jpg" />
+ </p>
+ </div>
+ <p class="block"><b>1.涓�鍏冧簩娆℃柟绋�</b></p>
+ <p class="block">
+ 涓�鍏冧簩娆℃柟绋�<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>=0锛�<i>a</i>鈮�0锛夌殑瀹炴暟瑙ｇ殑鎯呭喌涓庢眰瑙ｅ叕寮忓琛�2-3鎵�绀�.
+ </p>
+ <p class="img">琛�2-3</p>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0053-1.jpg" />
+ </p>
+ <p class="block">
+ 褰�<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>锛�0鏃讹紝鏈変簺涓�鍏冧簩娆℃柟绋嬩篃鍙互鐢ㄥ洜寮忓垎瑙ｆ硶鍐欐垚<i>a</i>锛�<i>x</i>-<i>x</i>1锛夛紙<i>x</i>-<i>x</i>2锛�=0锛�<i>a</i>鈮�0锛夛紝鐒跺悗鍐嶆眰瑙�.
+ </p>
+ <p class="block"><b>2.浜屾鍑芥暟</b></p>
+ <p class="block">
+ 浜屾鍑芥暟<i>y</i>=<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�<i>a</i>鈮�0锛夌殑鍥惧儚鏄竴鏉℃姏鐗╃嚎.褰�<i>a</i>锛�0鏃讹紝鎶涚墿绾垮紑鍙ｅ悜涓婏紱褰�<i>a</i>锛�0鏃讹紝鎶涚墿绾垮紑鍙ｅ悜涓�.鎶涚墿绾夸笌<i>x</i>杞村叡鏈�3绉�
+ 浣嶇疆鍏崇郴.
+ </p>
+ </div>
+ </div>
</div>
</div>
<!-- 043 -->
@@ -155,7 +1097,88 @@
<p><span>043</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bk">
+ <p class="block">
+ 锛�1锛� 褰�<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>锛�0鏃讹紝鎶涚墿绾夸笌<i>x</i>杞存湁涓や釜浜ょ偣锛�
+ </p>
+ <p class="block">
+ 锛�2锛� 褰�<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>=0鏃讹紝鎶涚墿绾夸笌<i>x</i>杞村彧鏈変竴涓氦鐐癸紱
+ </p>
+ <p class="block">
+ 锛�3锛� 褰�<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>锛�0鏃讹紝鎶涚墿绾夸笌<i>x</i>杞存棤浜ょ偣.
+ </p>
+ <p class="block">鎶涚墿绾夸笌<i>x</i>杞寸殑3绉嶄綅缃叧绯诲琛�2-4鎵�绀�.</p>
+ <p class="img">琛�2-4</p>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0054-1.jpg" />
+ </p>
+ <p class="block">
+ 浜屾鍑芥暟<i>y</i>=<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�<i>a</i>鈮�0锛夌殑鍥惧儚鐨勫绉拌酱鏂圭▼涓�<math display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>b</mi>
+ <mrow>
+ <mn>2</mn>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ </math>锛岄《鐐瑰潗鏍囦负<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>b</mi>
+ <mrow>
+ <mn>2</mn>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ <mo>锛�</mo>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>a</mi>
+ <mi>c</mi>
+ <mo>鈭�</mo>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </mrow>
+ <mrow>
+ <mn>4</mn>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛屼笌<i>y</i>杞寸殑浜ょ偣鍧愭爣涓猴紙0锛�<i>c</i>锛�.
+ </p>
+ </div>
+ <p><b>渚�</b> 宸茬煡浜屾鍑芥暟<i>y</i>=<i>x</i><sup>2</sup>-2<i>x</i>-3锛�</p>
+ <p>锛�1锛� 鐢诲嚭璇ュ嚱鏁板浘鍍忥紱</p>
+ <p>
+ 锛�2锛�
+ 鎸囧嚭璇ュ嚱鏁板浘鍍忎笂绾靛潗鏍囧垎鍒负<i>y</i>=0锛�<i>y</i>锛�0锛�<i>y</i>锛�0鐨勬墍鏈夌偣锛�
+ </p>
+ <p>
+ 锛�3锛�
+ 鏍规嵁鍑芥暟鍥惧儚鍐欏嚭<i>y</i>=0锛�<i>y</i>锛�0锛�<i>y</i>锛�0鏃舵墍瀵瑰簲鐨�<i>x</i>鐨勫�兼垨鍙栧�艰寖鍥�.
+ </p>
+ <p class="block">
+ <span
+ class="zt-ls2"><b>鍒嗘瀽</b></span>銆�鈶犳牴鎹�<i>x</i><sup>2</sup>鐨勭郴鏁板垽鏂嚱鏁板浘鍍忥紙鎶涚墿绾匡級鐨勫紑鍙ｆ柟鍚戯紱鈶＄敤鍒ゅ埆寮忓垽瀹氬嚭涓�鍏冧簩娆℃柟绋�<i>x</i><sup>2</sup>-2<i>x</i>-3=0鐨勮В鐨勬儏鍐碉紝浠庤�岀‘瀹氫簩娆″嚱鏁�<i>y</i>=<i>x</i><sup>2</sup>-2<i>x</i>-3鐨勫浘鍍忎笌<i>x</i>杞寸殑浜ょ偣涓暟鍜屼氦鐐瑰潗鏍囷紱鈶㈣绠椾簩娆″嚱鏁板浘鍍忕殑椤剁偣鍧愭爣銆佷笌<i>y</i>杞寸殑浜ょ偣鍧愭爣锛涒懀姹傚嚭浜屾鍑芥暟鍥惧儚鐨勫绉拌酱鏂圭▼锛屽苟鍒╃敤鍑芥暟鍥惧儚鐨勫绉版�у啀鎵惧嚭涓�浜涚偣锛涒懁鏈�鍚庢牴鎹笂杩颁俊鎭敾鍑哄嚱鏁板浘鍍�.
+ </p>
+ <p class="block">
+ 鐢诲嚭鍥惧儚鍚庯紝<i>y</i>=0锛�<i>y</i>锛�0锛�<i>y</i>锛�0鍒嗗埆瀵瑰簲鍑芥暟鍥惧儚涓�<i>x</i>杞寸浉浜ゃ�佸嚱鏁板浘鍍忓湪<i>x</i>杞翠笂鏂广�佸嚱鏁板浘鍍忓湪<i>x</i>杞翠笅鏂逛笁绉嶆儏褰紝鏍规嵁鍥惧儚瀹屾垚锛�2锛夛紙3锛�
+ 涓や釜闂.
+ </p>
+ </div>
</div>
</div>
<!-- 044 -->
@@ -166,7 +1189,111 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <examinations :cardList="questionData[51]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+ v-if="questionData" ></examinations>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0055-1.jpg" /></p>
+ <p class="img">鍥�2-3</p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负<i>a</i>=1锛�0锛屾墍浠ュ嚱鏁板浘鍍忎负寮�鍙ｅ悜涓婄殑鎶涚墿绾�.
+ </p>
+ <p>
+ 鍥犱负<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>=锛�-2锛�<sup>2</sup>-4脳1脳锛�-3锛�=16锛�0锛�
+ </p>
+ <p>
+ 鎵�浠ヤ竴鍏冧簩娆℃柟绋�<i>x</i><sup>2</sup>-2<i>x</i>-3=0鏈変袱涓笉鐩哥瓑鐨勫疄鏁拌В.
+ </p>
+ <p>瑙ｆ柟绋嬶紝寰�<i>x</i><sub>1</sub>=-1锛�<i>x</i><sub>2</sub>=3.</p>
+ <p>鎵�浠ユ姏鐗╃嚎涓�<i>x</i>杞寸殑浜ょ偣鍧愭爣涓猴紙-1锛�0锛夛紝锛�3锛�0锛�.</p>
+ <p>
+ 鎶涚墿绾跨殑椤剁偣鍧愭爣涓�<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>b</mi>
+ <mrow>
+ <mn>2</mn>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ <mo>锛�</mo>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>a</mi>
+ <mi>c</mi>
+ <mo>鈭�</mo>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </mrow>
+ <mrow>
+ <mn>4</mn>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛屽嵆锛�1锛�-4锛�.
+ </p>
+ <p>
+ 鎶涚墿绾跨殑瀵圭О杞存柟绋嬩负<math display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>b</mi>
+ <mrow>
+ <mn>2</mn>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ </math>锛屽嵆<i>x</i>=1.鎶涚墿绾夸笌<i>y</i>杞寸殑浜ょ偣鍧愭爣涓猴紙0锛�<i>c</i>锛夛紝鍗筹紙0锛�-3锛�.鏍规嵁鍑芥暟鐨勫绉版�э紝鍙互鍐嶅彇涓�浜涚偣锛屽锛�2锛�-3锛�.
+ </p>
+ <p>
+ 鏍规嵁浠ヤ笂淇℃伅锛屽氨鍙互鐢诲嚭鍑芥暟<i>y</i>=<i>x</i><sup>2</sup>-2<i>x</i>-3鐨勫浘鍍忥紙濡傚浘2-3鎵�绀猴級.
+ </p>
+ <p>
+ 锛�2锛�
+ 瑙傚療鍥惧儚鍙煡锛屾弧瓒�<i>y</i>=0鐨勭偣鏄姏鐗╃嚎涓�<i>x</i>杞寸殑浜ょ偣锛涙弧瓒�<i>y</i>锛�0鐨勭偣鏄姏鐗╃嚎鍦�<i>x</i>杞翠笂鏂圭殑鎵�鏈夌偣锛涙弧瓒�<i>y</i>锛�0鐨勭偣鏄姏鐗╃嚎鍦�<i>x</i>杞翠笅鏂圭殑鎵�鏈夌偣.
+ </p>
+ <p>
+ 锛�3锛�
+ 瑙傚療鍥惧儚鍙煡锛屽綋<i>y</i>=0鏃讹紝瀵瑰簲鎶涚墿绾夸笌<i>x</i>杞寸殑涓や釜浜ょ偣锛屾鏃�<i>x</i>鏈変袱涓彇鍊硷紝<i>x</i><sub>1</sub>=-1锛�<i>x</i><sub>2</sub>=3锛�
+ </p>
+ <p>
+ 褰�<i>y</i>锛�0鏃讹紝瀵瑰簲鎶涚墿绾垮湪<i>x</i>杞翠笂鏂圭殑鎵�鏈夌偣锛屾鏃�<i>x</i>鐨勫彇鍊艰寖鍥存槸<i>x</i>锛�-1鎴�<i>x</i>锛�3锛�
+ </p>
+ <p>
+ 褰�<i>y</i>锛�0鏃讹紝瀵瑰簲鎶涚墿绾垮湪<i>x</i>杞翠笅鏂圭殑鎵�鏈夌偣锛屾鏃�<i>x</i>鐨勫彇鍊艰寖鍥存槸-1锛�<i>x</i>锛�3.
+ </p>
+ <div class="bk-hzjl">
+ <div class="bj1-hzjl">
+ <p class="left">
+ <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
+ </p>
+ </div>
+ <examinations :cardList="questionData[51]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+ v-if="questionData" ></examinations>
+ </div>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>宸茬煡涓嬪垪浜屾鍑芥暟锛�</p>
+ <p>
+ 鈶�<i>y</i>=<i>x</i><sup>2</sup>-3<i>x</i>-4锛� 鈶�<i>y</i>=<i>x</i><sup>2</sup>+<i>x</i>+2锛�
+ 鈶�<i>y</i>=<i>x</i><sup>2</sup>-6<i>x</i>+9.
+ </p>
+ <p>锛�1锛� 鍒嗗埆鐢诲嚭瀹冧滑鐨勫嚱鏁板浘鍍忥紱</p>
+ <p>
+ 锛�2锛�
+ 鏍规嵁鍑芥暟鍥惧儚鍐欏嚭<i>y</i>=0锛�<i>y</i>锛�0锛�<i>y</i>锛�0鏃舵墍瀵瑰簲鐨�<i>x</i>鐨勫�兼垨鍙栧�艰寖鍥�.
+ </p>
+ </div>
+ </div>
</div>
</div>
<!-- 045 -->
@@ -180,7 +1307,184 @@
<p><span>045</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c017">
+ 2.3.2 涓�鍏冧簩娆′笉绛夊紡鐨勫熀鏈В娉�<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 鍥炲埌鏈妭寮�澶寸殑闂锛屽浣曡В涓嶇瓑寮�0.007<i>x</i><sup>2</sup>+0.2<i>x</i>-50鈮�0鍛紵
+ </p>
+ <p>
+ 褰�<i>x</i>鍙樺寲鏃讹紝涓嶇瓑寮忕殑宸﹁竟鍙互鐪嬩綔<i>x</i>鐨勪簩娆″嚱鏁�<i>y</i>=0.007<i>x</i><sup>2</sup>+0.2<i>x</i>-50.杩欐牱瑙ｄ笉绛夊紡0.007<i>x</i><sup>2</sup>+0.2<i>x</i>-50鈮�0鐨勯棶棰樺氨鍙互杞寲涓烘眰浜屾鍑芥暟<i>y</i>=0.007<i>x</i><sup>2</sup>+0.2<i>x</i>-50鐨勫浘鍍忎笂<i>y</i>鈮�0鎵�瀵瑰簲鐐圭殑<i>x</i>鐨勫彇鍊艰寖鍥撮棶棰�.
+ </p>
+ <p>
+ 浜屾鍑芥暟<i>y</i>=0.007<i>x</i><sup>2</sup>+0.2<i>x</i>-50鐨勫浘鍍忔槸寮�鍙ｅ悜涓婄殑鎶涚墿绾�.鍥犱负<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>=锛�0.2锛�<sup>2</sup>-4脳0.007脳锛�-50锛�=1.44锛�0锛屾墍浠ユ姏鐗╃嚎涓�<i>x</i>杞存湁涓や釜浜ょ偣锛屼氦鐐圭殑妯潗鏍囨槸鏂圭▼0.007<i>x</i><sup>2</sup>+0.2<i>x</i>-50=0鐨勪袱涓В锛岃В鏂圭▼0.007<i>x</i><sup>2</sup>+0.2<i>x</i>-50=0寰�<i>x</i>1=-100锛�<math
+ display="0">
+ <msub>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msub>
+ <mo>=</mo>
+ <mfrac>
+ <mn>500</mn>
+ <mn>7</mn>
+ </mfrac>
+ </math>.鎵�浠ュ浘鍍忎笌<i>x</i>杞寸殑浜ょ偣鍧愭爣涓猴紙-100锛�0锛夛紝<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>500</mn>
+ <mn>7</mn>
+ </mfrac>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>.瀵圭О杞存柟绋嬩负<math display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>b</mi>
+ <mrow>
+ <mn>2</mn>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>100</mn>
+ <mn>7</mn>
+ </mfrac>
+ </math>锛岄《鐐瑰潗鏍囦负<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>b</mi>
+ <mrow>
+ <mn>2</mn>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ <mo>锛�</mo>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>a</mi>
+ <mi>c</mi>
+ <mo>鈭�</mo>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </mrow>
+ <mrow>
+ <mn>4</mn>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛屽嵆<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>100</mn>
+ <mn>7</mn>
+ </mfrac>
+ <mo>锛�</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>360</mn>
+ <mn>7</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0056-6.jpg" /></p>
+ <p class="img">鍥�2-4</p>
+ <p>
+ 鏁呬簩娆″嚱鏁�<i>y</i>=0.007<i>x</i><sup>2</sup>+0.2<i>x</i>-50鐨勭畝鍥惧鍥�2-4鎵�绀�.
+ </p>
+ <p>瑙傚療鍥惧儚鍙煡锛�</p>
+ <p>
+ 褰�<i>y</i>=0鏃讹紝瀵瑰簲鎶涚墿绾夸笌<i>x</i>杞寸殑涓や釜浜ょ偣锛屾鏃�<i>x</i>1=-100锛�<math display="0">
+ <msub>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msub>
+ <mo>=</mo>
+ <mfrac>
+ <mn>500</mn>
+ <mn>7</mn>
+ </mfrac>
+ </math>锛�
+ </p>
+ <p>
+ 褰�<i>y</i>锛�0鏃讹紝瀵瑰簲鎶涚墿绾垮湪<i>x</i>杞翠笅鏂圭殑鎵�鏈夌偣锛屾鏃�<i>x</i>鐨勫彇鍊艰寖鍥存槸<math display="0">
+ <mo>鈭�</mo>
+ <mn>100</mn>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mfrac>
+ <mn>500</mn>
+ <mn>7</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ 鏁呮弧瓒充笉绛夊紡0.007<i>x</i><sup>2</sup>+0.2<i>x</i>-50鈮�0鐨�<i>x</i>鎵�鍦ㄧ殑鍖洪棿涓�<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">[</mo>
+ <mo>鈭�</mo>
+ <mn>100</mn>
+ <mo>锛�</mo>
+ <mfrac>
+ <mn>500</mn>
+ <mn>7</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">]</mo>
+ </mrow>
+ </math>.
+ </p>
+ <p>
+ 鑰冭檻鍒伴珮閫熷叕璺笂鐨勬渶浣庨�熷害涓�60km/h锛屽鏋滃笇鏈涜姹借溅鎬ュ埞杞︾殑鍋滆溅璺濈涓嶈秴杩�50m锛岄偅涔堝叾琛岄┒閫熷害鐨勮寖鍥存槸<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">[</mo>
+ <mn>60</mn>
+ <mo>锛�</mo>
+ <mfrac>
+ <mn>500</mn>
+ <mn>7</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">]</mo>
+ </mrow>
+ </math>锛岃椹堕�熷害鐨勬渶澶у�间负<math display="0">
+ <mfrac>
+ <mn>500</mn>
+ <mn>7</mn>
+ </mfrac>
+ <mo>鈮�</mo>
+ <mn>71</mn>
+ </math>锛坘m/h锛�.
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+ <p>
+ 涓�鑸湴锛屼娇涓�鍏冧簩娆′笉绛夊紡鎴愮珛鐨勫�煎彨浣滆繖涓�<b>涓�鍏冧簩娆′笉绛夊紡鐨勮В</b>.
+ </p>
+ </div>
</div>
</div>
<!-- 046 -->
@@ -191,7 +1495,60 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="t0">
+ 涓�鍏冧簩娆′笉绛夊紡鐨勬墍鏈夎В缁勬垚鐨勯泦鍚堬紝鍙綔杩欎釜<b>涓�鍏冧簩娆′笉绛夊紡鐨勮В闆�</b>.
+ </p>
+ <p>
+ 涓婇潰鐨勬儏褰㈣〃鏄庯紝浜屾鍑芥暟鍥惧儚鐨勫紑鍙ｆ柟鍚戝強鍏朵笌<i>x</i>杞寸殑浜ょ偣鍧愭爣锛屽彲浠ョ‘瀹氬叾瀵瑰簲鐨勪竴鍏冧簩娆′笉绛夊紡鐨勮В闆�.
+ </p>
+ <p><b>渚�</b> 鍒╃敤浜屾鍑芥暟鐨勫浘鍍忚В涓嬪垪涓�鍏冧簩娆′笉绛夊紡.</p>
+ <p>
+ 锛�1锛� -<i>x</i><sup>2</sup>+3<i>x</i>+4锛�0锛涳紙2锛� <i>x</i><sup>2</sup>-2<i>x</i>+3锛�0.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0057-1.jpg" /></p>
+ <p class="img">鍥�2-5</p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+ 螖=<i>b</i><sup>2</sup>-4<i>ac</i>=3<sup>2</sup>-4脳锛�-1锛壝�4=25锛�0锛屾墍浠ュ嚱鏁�<i>y</i>=-<i>x</i><sup>2</sup>+3<i>x</i>+4鐨勫浘鍍忎笌<i>x</i>杞存湁涓や釜浜ょ偣.瑙ｆ柟绋�-<i>x</i><sup>2</sup>+3<i>x</i>+4=0鍙緱锛�<i>x</i>1=-1锛�<i>x</i>2=4.
+ </p>
+ <p>
+ 鍑芥暟<i>y</i>=-<i>x</i><sup>2</sup>+3<i>x</i>+4鐨勫浘鍍忔槸寮�鍙ｅ悜涓嬬殑鎶涚墿绾匡紝涓�<i>x</i>杞寸殑浜ょ偣鍧愭爣鏄紙-1锛�0锛夛紝锛�4锛�0锛夛紝鍑芥暟<i>y</i>=-<i>x</i><sup>2</sup>+3<i>x</i>+4鐨勫浘鍍忓鍥�2-5鎵�绀�.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0057-2.jpg" /></p>
+ <p class="img">鍥�2-6</p>
+ <p>
+ 瑙傚療鍥惧儚鍙緱锛屼笉绛夊紡-<i>x</i><sup>2</sup>+3<i>x</i>+4锛�0鐨勮В闆嗘槸锛�-鈭烇紝
+ -1锛夆埅锛�4锛� +鈭烇級.
+ </p>
+ <p>
+ 锛�2锛�
+ <i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>=锛�-2锛�<sup>2</sup>-4脳1脳3=-8锛�0锛屾墍浠ュ嚱鏁�<i>y</i>=<i>x</i><sup>2</sup>-2<i>x</i>+3鐨勫浘鍍忎笌<i>x</i>杞存棤浜ょ偣.
+ </p>
+ <p>
+ 鍑芥暟<i>y</i>=<i>x</i><sup>2</sup>-2<i>x</i>+3鐨勫浘鍍忔槸寮�鍙ｅ悜涓婄殑鎶涚墿绾匡紝涓�<i>x</i>杞存棤浜ょ偣锛屽叾绠�鍥惧鍥�2-6鎵�绀�.
+ </p>
+ <p>
+ 瑙傚療鍥惧儚鍙緱锛屼笉绛夊紡<i>x</i><sup>2</sup>-2<i>x</i>+3锛�0鐨勮В闆嗕负<b>R</b>.
+ </p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 渚嬶紙1锛�
+ 涓紝娉ㄦ剰鍒颁笉绛夊紡-<i>x</i><sup>2</sup>+3<i>x</i>+4锛�0鈬�<i>x</i><sup>2</sup>-3<i>x</i>-4锛�0锛屼粠鑰屽彲灏嗛棶棰樿浆鍖栨垚瑙ｄ笉绛夊紡<i>x</i><sup>2</sup>-3<i>x</i>-4锛�0锛屽嵆褰撲竴鍏冧簩娆′笉绛夊紡鐨勪簩娆￠」绯绘暟涓鸿礋鏁版椂锛屽彲浠ュ埄鐢ㄤ笉绛夊紡鐨勬�ц川灏嗕笉绛夊紡鍖栨垚浜屾椤圭郴鏁颁负姝ｆ暟鐨勪竴鍏冧簩娆′笉绛夊紡锛屽啀姹傝В.
+ </p>
+ </div>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/tjfx.jpg" /></p>
+ <p>
+ 閫氳繃涓婇潰鐨勫垎鏋愶紝鍙戠幇浜屾鍑芥暟鐨勫浘鍍忋�佷竴鍏冧簩娆℃柟绋嬬殑瑙ｃ�佷竴鍏冧簩娆′笉绛夊紡鐨勮В闆嗕箣闂存湁鐫�瀵嗗垏鐨勮仈绯伙紝鍙互鎬荤粨鎴愯〃2-5.
+ </p>
+ <p class="img">琛�2-5</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0057-3.jpg" /></p>
+ </div>
</div>
</div>
<!-- 047 -->
@@ -205,8 +1562,25 @@
<p><span>047</span></p>
</li>
</ul>
-
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="img">缁〃</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0058-1.jpg" /></p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+ <p>
+ 涓�鑸湴锛屼笌浜屾鍑芥暟<i>y</i>=<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�<i>a</i>锛�0锛夊搴旂殑涓�鍏冧簩娆′笉绛夊紡鏈夊洓绉嶆儏褰紝鍒嗗埆鏄�<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0锛�<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鈮�0锛�<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0锛�<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鈮�0.鍒╃敤浜屾鍑芥暟<i>y</i>=<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�<i>a</i>锛�0锛夌殑鍥惧儚姹傝В鐩稿簲鐨勪竴鍏冧簩娆′笉绛夊紡锛屽彲浠ュ垎涓轰笁姝�.
+ </p>
+ <p>
+ 绗竴姝ワ細纭畾鐩稿簲鐨勪竴鍏冧簩娆℃柟绋�<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>=0鐨勫垽鍒紡<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>锛屼粠鑰岀‘瀹氫簩娆″嚱鏁扮殑鍥惧儚涓�<i>x</i>杞寸殑鐩镐氦鎯呭喌锛涘鏋滄湁浜ょ偣锛屽垯鍒╃敤鏂圭▼<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>=0瑙ｅ嚭浜ょ偣鐨勬í鍧愭爣.
+ </p>
+ <p>
+ 绗簩姝ワ細鐢诲嚭浜屾鍑芥暟<i>y</i>=<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鐨勭畝鍥�.
+ </p>
+ <p>绗笁姝ワ細瑙傚療绠�鍥撅紝鍐欏嚭涓嶇瓑寮忕殑瑙ｉ泦.</p>
+ <div class="bj">
+ <examinations :cardList="questionData[54]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+ v-if="questionData" ></examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 048 -->
@@ -217,7 +1591,143 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bj">
+ <p>
+ 锛�4锛� <i>x</i><sup>2</sup>-3<i>x</i>-4锛�0锛涳紙5锛� <i>x</i><sup>2</sup>-<i>x</i>-2鈮�0锛涳紙6锛�
+ -<i>x</i><sup>2</sup>-3<i>x</i>锛�0锛�
+ </p>
+ <p>
+ 锛�7锛� -<i>x</i><sup>2</sup>+5<i>x</i>-6锛�0锛涳紙8锛� -3<i>x</i><sup>2</sup>+2<i>x</i>-1锛�0.
+ </p>
+ </div>
+ <h3 id="c018">
+ 2.3.3 鐗规畩绫诲瀷涓�鍏冧簩娆′笉绛夊紡鐨勮В娉�<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>瑙傚療涓嬪垪涓嶇瓑寮忥細</p>
+ <math display="block">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mn>1</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </math>
+ <p class="right">鈶�</p>
+ <math display="block">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mn>1</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </math>
+ <p class="right">鈶�</p>
+ <math display="block">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mn>1</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>鈮�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </math>
+ <p class="right">鈶�</p>
+ <math display="block">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mn>1</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>鈮�</mo>
+ <mn>0</mn>
+ <mo>.</mo>
+ </math>
+ <p class="right">鈶�</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0059-5.jpg" /></p>
+ <p class="img">鍥�2-7</p>
+ <p>
+ 浠ヤ笂鍥涗釜涓嶇瓑寮忓搴旂殑浜屾鍑芥暟涓�<i>y</i>=锛�<i>x</i>+1锛夛紙<i>x</i>-3锛夛紝瀵瑰簲鐨勪竴鍏冧簩娆℃柟绋嬩负锛�<i>x</i>+1锛夛紙<i>x</i>-3锛�=0.鍏惰В涓�<i>x</i>1=-1锛�<i>x</i>2=3.浜屾鍑芥暟<i>y</i>=锛�<i>x</i>+1锛夛紙<i>x</i>-3锛夌殑鍥惧儚涓�<i>x</i>杞存湁涓や釜浜ょ偣锛�-1锛�0锛夛紝锛�3锛�0锛�.
+ </p>
+ <p>浜屾鍑芥暟<i>y</i>=锛�<i>x</i>+1锛夛紙<i>x</i>-3锛夌殑绠�鍥惧鍥�2-7鎵�绀�.</p>
+ <p>
+ 缁撳悎浜屾鍑芥暟<i>y</i>=锛�<i>x</i>+1锛夛紙<i>x</i>-3锛夌殑绠�鍥撅紝鎴戜滑鍙互寰楀埌浠ヤ笅缁撹.
+ </p>
+ <p>
+ 锛�1锛�
+ 涓嶇瓑寮忥紙<i>x</i>+1锛夛紙<i>x</i>-3锛夛紲0鐨勮В鍦ㄦ柟绋嬶紙<i>x</i>+1锛夛紙<i>x</i>-3锛�=0鐨勪袱瑙ｄ箣闂达紝瑙ｉ泦涓猴紙-1锛�3锛夛紱
+ </p>
+ <p>
+ 锛�2锛�
+ 涓嶇瓑寮忥紙<i>x</i>+1锛夛紙<i>x</i>-3锛夛紴0鐨勮В鍦ㄦ柟绋嬶紙<i>x</i>+1锛夛紙<i>x</i>-3锛�=0鐨勪袱瑙ｄ箣澶栵紝瑙ｉ泦涓猴紙-鈭烇紝-1锛夆埅锛�3锛�+鈭烇級锛�
+ </p>
+ <p>
+ 锛�3锛�
+ 涓嶇瓑寮忥紙<i>x</i>+1锛夛紙<i>x</i>-3锛夆墹0鐨勮В鍦ㄦ柟绋嬶紙<i>x</i>+1锛夛紙<i>x</i>-3锛�=0鐨勪袱瑙ｄ箣闂达紝瑙ｉ泦涓猴蓟-1锛�3锛斤紱
+ </p>
+ <p>
+ 锛�4锛�
+ 涓嶇瓑寮忥紙<i>x</i>+1锛夛紙<i>x</i>-3锛夆墺0鐨勮В鍦ㄦ柟绋嬶紙<i>x</i>+1锛夛紙<i>x</i>-3锛�=0鐨勪袱瑙ｄ箣澶栵紝瑙ｉ泦涓猴紙-鈭烇紝-1锛解埅锛�3锛�+鈭烇級.
+ </p>
+ <p>
+ 涓�鑸湴锛屼竴鍏冧簩娆℃柟绋嬶紙<i>x</i>-<i>p</i>锛夛紙<i>x</i>-<i>q</i>锛�=0锛堝叾涓�<i>p</i>锛�<i>q</i>涓哄疄鏁帮紝骞朵笖<i>p</i>锛�<i>q</i>锛夋湁涓や釜涓嶇浉绛夌殑瀹炴暟瑙�<i>x</i>1=<i>p</i>锛�<i>x</i>2=<i>q</i>锛屼簩娆″嚱鏁�<i>y</i>=锛�<i>x</i>-<i>p</i>锛夛紙<i>x</i>-<i>q</i>锛夌殑绠�鍥惧鍥�2-8鎵�绀�.
+ </p>
+ <p>
+ 瑙傚療浜屾鍑芥暟<i>y</i>=锛�<i>x</i>-<i>p</i>锛夛紙<i>x</i>-<i>q</i>锛夌殑绠�鍥撅紝鍙煡涓嬪垪缁撹鎴愮珛.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0059-6.jpg" /></p>
+ <p class="img">鍥�2-8</p>
+ <p>
+ 锛�1锛�
+ 涓嶇瓑寮忥紙<i>x</i>-<i>p</i>锛夛紙<i>x</i>-<i>q</i>锛夛紲0鐨勮В闆嗕负锛�<i>p</i>锛�<i>q</i>锛夛紱
+ </p>
+ <p>
+ 锛�2锛�
+ 涓嶇瓑寮忥紙<i>x</i>-<i>p</i>锛夛紙<i>x</i>-<i>q</i>锛夛紴0鐨勮В闆嗕负锛�-鈭烇紝<i>p</i>锛夆埅锛�<i>q</i>锛�+鈭烇級锛�
+ </p>
+ </div>
</div>
</div>
<!-- 049 -->
@@ -231,7 +1741,65 @@
<p><span>049</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ 锛�3锛�
+ 涓嶇瓑寮忥紙<i>x</i>-<i>p</i>锛夛紙<i>x</i>-<i>q</i>锛夆墹0鐨勮В闆嗕负锛�<i>p</i>锛�<i>q</i>锛斤紱
+ </p>
+ <p>
+ 锛�4锛�
+ 涓嶇瓑寮忥紙<i>x</i>-<i>p</i>锛夛紙<i>x</i>-<i>q</i>锛夆墺0鐨勮В闆嗕负锛�-鈭烇紝<i>p</i>锛解埅锛�<i>q</i>锛�+鈭烇級.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�瑙ｄ笅鍒椾笉绛夊紡.
+ </p>
+ <p>
+ 锛�1锛夛紙<i>x</i>+3锛夛紙<i>x</i>+1锛夛紲0锛涳紙2锛夛紙6-<i>x</i>锛夛紙<i>x</i>+4锛夆墹0.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛夛紙<i>x</i>+3锛夛紙<i>x</i>+1锛夛紲0锛屽嵆锛�<i>x</i>-锛�-3锛夛冀锛�<i>x</i>-锛�-1锛夛冀锛�0.
+ </p>
+ <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗕负锛�-3锛�-1锛�.</p>
+ <p>
+ 锛�2锛�
+ 鐢憋紙6-<i>x</i>锛夛紙<i>x</i>+4锛夆墹0寰楋紙<i>x</i>-6锛夛紙<i>x</i>+4锛夆墺0锛屽嵆
+ </p>
+ <p class="center">锛�<i>x</i>-6锛夛蓟<i>x</i>-锛�-4锛夛冀鈮�0.</p>
+ <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗕负锛�-鈭烇紝-4锛解埅锛�6锛�+鈭烇級.</p>
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�瑙ｄ笅鍒椾笉绛夊紡.
+ </p>
+ <p>
+ 锛�1锛夛紙<i>x</i>+1锛�<sup>2</sup>鈮�4锛涳紙2锛夛紙2<i>x</i>-3锛�<sup>2</sup>锛�9.
+ </p>
+ <p class="block">
+ <span
+ class="zt-ls2"><b>鍒嗘瀽</b></span>銆�鐢憋紙<i>x</i>+1锛�<sup>2</sup>鈮�4寰�<i>x</i><sup>2</sup>+2<i>x</i>+1鈮�4锛屽嵆<i>x</i><sup>2</sup>+2<i>x</i>-3鈮�0锛屼粠鑰屽彲浠ュ埄鐢ㄤ簩娆″嚱鏁�<i>y</i>=<i>x</i><sup>2</sup>+2<i>x</i>-3鐨勫浘鍍忚繘琛屾眰瑙ｏ紱娉ㄦ剰鍒�4=2<sup>2</sup>锛屼篃鍙互鑰冭檻灏嗭紙<i>x</i>+1锛�<sup>2</sup>鈮�4鏁寸悊涓猴紙<i>x</i>+1锛�<sup>2</sup>-4鈮�0锛屽苟浣跨敤骞虫柟宸叕寮忥紝鍗筹紙<i>x</i>+1锛�<sup>2</sup>-2<sup>2</sup>鈮�0锛屽緱鍒帮紙<i>x</i>+3锛夛紙<i>x</i>-1锛夆墺0锛屾鏃跺彲浠ュ�熷姪涓婇潰鐨勭粨璁虹洿鎺ユ眰瑙�.涓嬮潰鎴戜滑灏嗕娇鐢ㄥ悗涓�绉嶆柟娉曡繘琛屾眰瑙�.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+ 鐢憋紙<i>x</i>+1锛�<sup>2</sup>鈮�4寰楋紙<i>x</i>+1锛�<sup>2</sup>-2<sup>2</sup>鈮�0锛�
+ </p>
+ <p>浠庤�屻��銆�锛伙紙<i>x</i>+1锛�+2锛斤蓟锛�<i>x</i>+1锛�-2锛解墺0锛�</p>
+ <p>鍖栫畝寰楋紙<i>x</i>+3锛夛紙<i>x</i>-1锛夆墺0锛�</p>
+ <p>鍗炽��銆�銆�锛�<i>x</i>-锛�-3锛夛冀锛�<i>x</i>-1锛夆墺0锛�</p>
+ <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗕负锛�-鈭烇紝-3锛解埅锛�1锛�+鈭烇級.</p>
+ <p>
+ 锛�2锛�
+ 鐢憋紙2<i>x</i>-3锛�<sup>2</sup>锛�9寰楋紙2<i>x</i>-3锛�<sup>2</sup>-3<sup>2</sup>锛�0锛�
+ </p>
+ <p>浠庤�屻��銆�锛伙紙2<i>x</i>-3锛�+3锛斤蓟锛�2<i>x</i>-3锛�-3锛斤紲0锛�</p>
+ <p>鍖栫畝寰椼��2<i>x</i>锛�2<i>x</i>-6锛夛紲0锛�</p>
+ <p>鍗炽��銆�銆�<i>x</i>锛�<i>x</i>-3锛夛紲0锛�</p>
+ <p>鍗筹紙<i>x</i>-0锛夛紙<i>x</i>-3锛夛紲0锛�</p>
+ <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗕负锛�0锛�3锛�.</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>瑙ｄ笅鍒椾竴鍏冧簩娆′笉绛夊紡.</p>
+ <examinations :cardList="questionData[56]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+ v-if="questionData" ></examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 050 -->
@@ -242,7 +1810,13 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c019">涔犻2.3<span class="fontsz2">锛烇紴锛�</span></h3>
+ <div class="bj" >
+ <examinations :cardList="questionData[57]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+ v-if="questionData" ></examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 051 -->
@@ -257,7 +1831,142 @@
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h2 id="b010">
+ 2.4 鍚粷瀵瑰�肩殑涓嶇瓑寮�<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+ </h2>
+ <h3 id="c020">
+ 2.4.1 鍚粷瀵瑰�肩殑涓嶇瓑寮忕殑鍩烘湰瑙ｆ硶<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /></p>
+ <p class="center"><b>鍟嗗搧鎴块鍞腑鐨勪笉绛夊紡鐭ヨ瘑</b></p>
+ <p>
+ 鍟嗗搧鎴块鍞椂锛屾埧鍦颁骇寮�鍙戜紒涓氬皢姝ｅ湪寤鸿涓殑鎴垮眿棰勫厛鍑哄敭缁欒喘鎴胯�咃紝
+ 骞跺湪璐埧鍚堝悓涓害瀹氭墍璐拱鎴垮眿鐨勫叿浣撻潰绉紙绉颁负鈥滃悎鍚岀害瀹氶潰绉�濓級.鎴垮眿绔ｅ伐鍚庯紝
+ 鏍规嵁鐜板満瀹炴祴鐨勬埧灞嬮潰绉绉颁负鈥滀骇鏉冪櫥璁伴潰绉��.涓轰繚鎶よ喘鎴胯�呮潈鐩婏紝
+ 鎴戝浗鐩稿叧娉曞緥瑙勫畾锛�
+ 棰勫敭鎴垮眿鐨勮喘鎴垮悎鍚屼腑搴斿綋鍐欐槑鈥滃悎鍚岀害瀹氶潰绉�濅笌鈥滀骇鏉冪櫥璁伴潰绉�濆彂鐢熻宸椂鐨勫鐞嗘柟寮�.鍚堝悓鏈綔绾﹀畾鐨勶紝
+ 鎸変互涓嬪師鍒欏鐞嗭細鈥滐紙涓�锛� 闈㈢Н璇樊姣旂粷瀵瑰�煎湪3%浠ュ唴锛堝惈3%锛� 鐨勶紝
+ 鏍规嵁鈥樹骇鏉冪櫥璁伴潰绉�欑粨绠楁埧浠锋锛涳紙浜岋級
+ 闈㈢Н璇樊姣旂粷瀵瑰�艰秴鍑�3%鏃讹紝璐埧鑰呮湁鏉冮��鎴�.鍏朵腑锛�
+ 闈㈢Н璇樊姣�=锛堜骇鏉冪櫥璁伴潰绉�-鍚堝悓绾﹀畾闈㈢Н锛�/鍚堝悓绾﹀畾闈㈢Н脳100%.鈥�
+ </p>
+ <p>
+ 鏉庡厛鐢熻喘涔伴鍞埧灞嬫椂锛� 鍚堝悓绾﹀畾闈㈢Н涓�100 m<sup>2</sup>.鎴垮眿绔ｅ伐鍚庯紝
+ 浜ф潈鐧昏闈㈢Н鍦ㄤ粈涔堣寖鍥存椂锛� 鏉庡厛鐢熼渶瑕佹牴鎹骇鏉冪櫥璁伴潰绉粨绠楁埧浠锋锛�
+ 鎴栬�呮湁鏉冮��鎴匡紵
+ </p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/zshg.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 1.缁濆鍊煎畾涔夛細鏁拌酱涓婅〃绀烘暟<i>a</i>鐨勭偣涓庡師鐐逛箣闂寸殑璺濈鍙綔鏁�<i>a</i>鐨勭粷瀵瑰�硷紝璁颁綔|<i>a</i>|.
+ </p>
+ <p class="block">
+ 2.涓�涓鏁扮殑缁濆鍊兼槸瀹冩湰韬紱涓�涓礋鏁扮殑缁濆鍊兼槸瀹冪殑鐩稿弽鏁帮紱0鐨勭粷瀵瑰�兼槸0锛屽嵆
+ </p>
+ <p class="block">
+ <math display="0">
+ <mo stretchy="false">|</mo>
+ <mi>a</mi>
+ <mrow>
+ <mo stretchy="false">|</mo>
+ </mrow>
+ <mo>=</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mi>a</mi>
+ <mo>锛�</mo>
+ <mi>a</mi>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ <mi>a</mi>
+ <mo>=</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mo>鈭�</mo>
+ <mi>a</mi>
+ <mo>锛�</mo>
+ <mi>a</mi>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math>锛屼篃鍙互鍐欐垚<math display="0">
+ <mo stretchy="false">|</mo>
+ <mi>a</mi>
+ <mrow>
+ <mo stretchy="false">|</mo>
+ </mrow>
+ <mo>=</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mi>a</mi>
+ <mo>锛�</mo>
+ <mi>a</mi>
+ <mo>鈮�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mo>鈭�</mo>
+ <mi>a</mi>
+ <mo>锛�</mo>
+ <mi>a</mi>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math>.
+ </p>
+ <p class="block">
+ 3.璁�<i>a</i>锛�0锛屾暟杞翠笂涓庡師鐐圭殑璺濈鏄�<i>a</i>鐨勭偣鏈変袱涓紝瀹冧滑鍒嗗埆鍦ㄥ師鐐逛袱渚э紝鍒嗗埆鏄�-<i>a</i>鍜�<i>a</i>锛屽鍥�2-9鎵�绀�.
+ </p>
+ <p class="center">
+ <img class="img-c" alt="" src="../../assets/images/0062-3.jpg" />
+ </p>
+ <p class="img">鍥�2-9</p>
+ </div>
+ </div>
</div>
</div>
<!-- 052 -->
@@ -268,7 +1977,76 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 鍋囪浜ф潈鐧昏闈㈢Н涓�<i>x</i>锛坢<sup>2</sup>锛夛紝涓婅堪闂鍙敤涓�涓惈鏈夌粷瀵瑰�肩殑涓嶇瓑寮忚〃绀�.
+ </p>
+ <math display="block">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">|</mo>
+ <mfrac>
+ <mrow>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mn>100</mn>
+ </mrow>
+ <mn>100</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">|</mo>
+ </mrow>
+ <mo>鈮�</mo>
+ <mn>3%</mn>
+ <mo>锛屾垨</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">|</mo>
+ <mfrac>
+ <mrow>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mn>100</mn>
+ </mrow>
+ <mn>100</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">|</mo>
+ </mrow>
+ <mo>锛�</mo>
+ <mn>3%</mn>
+ <mo>锛�</mo>
+ </math>
+ <p>鍙寲涓恒��|<i>x</i>-100|鈮�3锛屾垨|<i>x</i>-100|锛�3.</p>
+ <p>濡傛灉鎴戜滑鑳借В鍑鸿繖涓や釜涓嶇瓑寮忥紝灏辫兘鍥炵瓟涓婅堪闂.</p>
+ <p>閭ｄ箞锛屽浣曡В杩欑鍚湁缁濆鍊肩殑涓嶇瓑寮忓憿锛熸垜浠厛浠庣畝鍗曠殑鎯呭舰寮�濮嬪垎鏋�.</p>
+ <p>
+ 璁�<i>a</i>锛�0锛岀敱缁濆鍊肩殑鎰忎箟鍙煡锛屽惈鏈夌粷瀵瑰�肩殑鏂圭▼|<i>x</i>|=<i>a</i>鐨勮В鏄�<i>x</i>=<i>a</i>鎴�<i>x</i>=-<i>a</i>.閭ｄ箞锛屽惈鏈夌粷瀵瑰�肩殑涓嶇瓑寮忥紙濡倈<i>x</i>|鈮�<i>a</i>锛寍<i>x</i>|锛�<i>a</i>锛寍<i>x</i>|鈮�<i>a</i>锛寍<i>x</i>|锛�<i>a</i>绛夛級
+ 鎬庝箞瑙ｅ憿锛熶笅闈互涓嶇瓑寮弢<i>x</i>|鈮�<i>a</i>锛�<i>a</i>锛�0锛�
+ 鍜寍<i>x</i>|锛�<i>a</i>锛�<i>a</i>锛�0锛変负渚嬭繘琛屽垎鏋�.
+ </p>
+ <p>
+ 鐢辩粷瀵瑰�肩殑鍑犱綍鎰忎箟锛寍<i>x</i>|琛ㄧず瀹炴暟<i>x</i>瀵瑰簲鐨勭偣涓庡師鐐逛箣闂寸殑璺濈.鍥犳锛屼笉绛夊紡|<i>x</i>|鈮�<i>a</i>锛�<i>a</i>锛�0锛�
+ 琛ㄧず鏁拌酱涓婂埌鍘熺偣鐨勮窛绂讳笉澶т簬<i>a</i>鐨勭偣鐨勯泦鍚�.鍦ㄦ暟杞翠笂锛屾弧瓒硘<i>x</i>|鈮�<i>a</i>锛�<i>a</i>锛�0锛�
+ 鐨勫疄鏁�<i>x</i>瀵瑰簲鐨勭偣濡傚浘2-10鎵�绀�.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0063-2.jpg" /></p>
+ <p class="img">鍥�2-10</p>
+ <p>
+ 鎵�浠ヤ笉绛夊紡|<i>x</i>|鈮�<i>a</i>锛�<i>a</i>锛�0锛�
+ 鐨勮В闆嗘槸{<i>x</i>|-<i>a</i>鈮�<i>x</i>鈮�<i>a</i>}锛岀敤鍖洪棿琛ㄧず涓猴蓟-<i>a</i>锛�<i>a</i>锛�.
+ </p>
+ <p>
+ 鍚岀悊锛屼笉绛夊紡|<i>x</i>|锛�<i>a</i>锛�<i>a</i>锛�0锛�
+ 琛ㄧず鏁拌酱涓婂埌鍘熺偣鐨勮窛绂诲ぇ浜�<i>a</i>鐨勭偣鐨勯泦鍚�.鍦ㄦ暟杞翠笂锛屾弧瓒硘<i>x</i>|锛�<i>a</i>锛�<i>a</i>锛�0锛夌殑瀹炴暟<i>x</i>瀵瑰簲鐨勭偣濡傚浘2-11鎵�绀�.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0063-3.jpg" /></p>
+ <p class="img">鍥�2-11</p>
+ <p>
+ 鎵�浠ヤ笉绛夊紡|<i>x</i>|锛�<i>a</i>锛�<i>a</i>锛�0锛� 鐨勮В闆嗘槸
+ {<i>x</i>|<i>x</i>锛�-<i>a</i>鎴�<i>x</i>锛�<i>a</i>}锛岀敤鍖洪棿琛ㄧず涓猴紙-鈭烇紝-<i>a</i>锛夆埅锛�<i>a</i>锛�+鈭烇級.
+ </p>
+ <p>鐢辨锛屽彲浠ュ緱鍒拌〃2-6.</p>
+ <p class="img">琛�2-6</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0063-4.jpg" /></p>
+ </div>
</div>
</div>
<!-- 053 -->
@@ -282,7 +2060,74 @@
<p><span>053</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p><b>渚�</b> 瑙ｄ笉绛夊紡|2<i>x</i>|锛�5.</p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ 鐢眧2<i>x</i>|锛�5寰�-5锛�2<i>x</i>锛�5锛�
+ </p>
+ <p>
+ 鍗炽��<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>5</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mfrac>
+ <mn>5</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ 鎵�浠ヤ笉绛夊紡鐨勮В闆嗘槸<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>5</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo>锛�</mo>
+ <mfrac>
+ <mn>5</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>.
+ </p>
+ <examinations :cardList="questionData[60]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+ v-if="questionData" ></examinations>
+ <h3 id="c021">
+ 2.4.2
+ |<i>ax</i>+<i>b</i>|锛�<i>c</i>鍜寍<i>ax</i>+<i>b</i>|锛�<i>c</i>锛�<i>c</i>锛�0锛夌殑瑙ｆ硶<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 姹傝В姝ょ被涓嶇瓑寮忔椂锛屽彲浠ュ皢<i>ax</i>+<i>b</i>鐪嬩綔涓�涓暣浣擄紝鍐嶅埄鐢ㄥ惈缁濆鍊间笉绛夊紡鐨勫熀鏈В娉曪紝鍘绘帀缁濆鍊硷紝鐒跺悗杩涜姹傝В.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�瑙ｄ笉绛夊紡|2<i>x</i>-1|锛�5.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ 鐢眧2<i>x</i>-1|锛�5寰�-5锛�2<i>x</i>-1锛�5锛�
+ </p>
+ <p>鍗炽��-4锛�2<i>x</i>锛�6锛�</p>
+ <p>銆�銆�-2锛�<i>x</i>锛�3.</p>
+ <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗘槸锛�-2锛�3锛�.</p>
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�瑙ｄ笉绛夊紡|1-2<i>x</i>|锛�3.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 鍥犱负|1-2<i>x</i>|=|2<i>x</i>-1|锛�
+ </p>
+ <p>鎵�浠ョ敱|1-2<i>x</i>|锛�3寰梶2<i>x</i>-1|锛�3.</p>
+ </div>
</div>
</div>
<!-- 054 -->
@@ -293,8 +2138,45 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
-
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>鐢眧2<i>x</i>-1|锛�3寰�-3锛�2<i>x</i>-1锛�3锛�</p>
+ <p>鍗炽��-2锛�2<i>x</i>锛�4锛�</p>
+ <p>銆�銆�-1锛�<i>x</i>锛�2.</p>
+ <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗘槸锛�-1锛�2锛�.</p>
+ <p>
+ <span class="zt-ls"><b>渚�3</b></span>銆�瑙ｄ笉绛夊紡|<i>x</i>+3|鈮�2.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ 鐢眧<i>x</i>+3|鈮�2寰�<i>x</i>+3鈮�-2鎴�<i>x</i>+3鈮�2锛�
+ </p>
+ <p>鍗炽��<i>x</i>鈮�-5鎴�<i>x</i>鈮�-1.</p>
+ <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗘槸锛�-鈭烇紝-5锛解埅锛�-1锛�+鈭烇級.</p>
+ <p>
+ 鐜板湪鎴戜滑鍥炲埌鏈妭寮�濮嬬殑闂锛岃В涓嶇瓑寮弢<i>x</i>-100|鈮�3寰�97鈮�<i>x</i>鈮�103锛岃В涓嶇瓑寮弢<i>x</i>-100|锛�3寰�<i>x</i>锛�103鎴�<i>x</i>锛�97.濡傛灉浜ф潈鐧昏闈㈢Н鍦�97
+ m<sup>2</sup>鍜�103 m<sup>2</sup>涔嬮棿锛堝寘鍚�97 m<sup>2</sup>鍜�103
+ m<sup>2</sup>锛�
+ 鏃讹紝鏉庡厛鐢熸寜鐓т骇鏉冪櫥璁伴潰绉粨绠楁埧娆撅紱濡傛灉浜ф潈鐧昏闈㈢Н灏忎簬97
+ m<sup>2</sup>鎴栧ぇ浜�103 m<sup>2</sup>鏃讹紝鏉庡厛鐢熸湁鏉冮��鎴�.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�4</b></span>銆�瑙ｄ笉绛夊紡|3<i>x</i>-锛�<i>x</i>-2锛墊鈮�2.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ 鐢眧3<i>x</i>-锛�<i>x</i>-2锛墊鈮�2寰梶3<i>x</i>-<i>x</i>+2|鈮�2锛�
+ </p>
+ <p>鍗炽��銆�|2<i>x</i>+2|鈮�2锛�</p>
+ <p>浠庤�屻��-2鈮�2<i>x</i>+2鈮�2锛�</p>
+ <p>銆�銆�銆�-4鈮�2<i>x</i>鈮�0锛�</p>
+ <p>銆�銆�銆�-2鈮�<i>x</i>鈮�0.</p>
+ <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗘槸锛�-2锛�0锛�.</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <examinations :cardList="questionData[61]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+ v-if="questionData" ></examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 055 -->
@@ -308,7 +2190,29 @@
<p><span>055</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c022">涔犻2.4<span class="fontsz2">锛烇紴锛�</span></h3>
+ <div class="bj">
+ <examinations :cardList="questionData[62]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+ v-if="questionData" ></examinations>
+ </div>
+ <h2 id="b011">
+ 2.5 涓嶇瓑寮忕殑搴旂敤<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+ </h2>
+ <h3 id="c023">
+ 2.5.1 涓嶇瓑寮忕殑绠�鍗曞簲鐢�<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0066-11.jpg" /></p>
+ <p class="img">鍥�2-12</p>
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�鐢ㄧ绗嗗湪澧欒竟鍥翠竴鍧楃煩褰㈠皬鑺卞潧锛屽叾涓竴杈归潬澧欙紙濡傚浘2-12鎵�绀猴級锛岀绗嗘�婚暱涓�8m.鑻ュ皬鑺卞潧鐨勯潰绉笉灏忎簬6
+ m<sup>2</sup>锛屽垯灏忚姳鍧涘瀭鐩翠簬澧欑殑涓�杈圭殑闀垮害鑼冨洿鏄灏戯紵
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ 璁惧皬鑺卞潧鍨傜洿浜庡鐨勪竴杈圭殑闀垮害涓�<i>x</i>锛坢锛夛紝鍒欎笌澧欏钩琛岀殑涓�杈圭殑闀垮害涓猴紙8-2<i>x</i>锛塵.鑰冭檻鍒板疄闄呮儏鍐碉紝鏈�<i>x</i>锛�0锛屽苟涓�8-2<i>x</i>锛�0锛屾墍浠�<i>x</i>婊¤冻0锛�<i>x</i>锛�4.
+ </p>
+ </div>
</div>
</div>
<!-- 056 -->
@@ -319,7 +2223,78 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>璁惧皬鑺卞潧鐨勯潰绉负<i>S</i>锛坢<sup>2</sup>锛夛紝鍒�</p>
+ <p class="center"><i>S</i>=<i>x</i>锛�8-2<i>x</i>锛夛紝</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0067-1.jpg" /></p>
+ <p class="img">鍥�2-13</p>
+ <p>鏁寸悊寰� <i>S</i>=-2<i>x</i><sup>2</sup>+8<i>x</i>.</p>
+ <p>
+ 鐢遍鎰忓緱 <i>S</i>=-2<i>x</i><sup>2</sup>+8<i>x</i>鈮�6锛屽嵆<i>x</i><sup>2</sup>-4<i>x</i>+3鈮�0.
+ </p>
+ <p>
+ 鐢诲嚭浜屾鍑芥暟<i>y</i>=<i>x</i><sup>2</sup>-4<i>x</i>+3鐨勭畝鍥撅紙濡傚浘2-13鎵�绀猴級.
+ </p>
+ <p>鐢卞浘鍍忓緱涓嶇瓑寮忕殑瑙ｄ负{<i>x</i>|1鈮�<i>x</i>鈮�3}.</p>
+ <p>缁撳悎0锛�<i>x</i>锛�4锛屽緱</p>
+ <p class="center">
+ {<i>x</i>|0锛�<i>x</i>锛�4}鈭﹞<i>x</i>|1鈮�<i>x</i>鈮�3}={<i>x</i>|1鈮�<i>x</i>鈮�3}.
+ </p>
+ <p>鎵�浠ュ皬鑺卞潧鍨傜洿浜庡鐨勪竴杈圭殑闀垮害鍦�1m鑷�3m涔嬮棿锛堝惈1m鍜�3m锛�.</p>
+ <p>
+ <span
+ class="zt-ls"><b>渚�2</b></span>銆�鏌愮綉搴楅攢鍞竴绉嶇數鍔ㄧ帺鍏凤紝鎴愭湰涓�10鍏�/涓�.骞虫椂鎸夊崟浠�20鍏冮攢鍞紝鏃ュ钩鍧囬攢鍞噺涓�100涓�.涓鸿繘涓�姝ユ彁鍗囦笟缁╋紝璇ョ綉搴楀喅瀹氬湪鈥滃弻11鈥濇湡闂翠妇鍔為檷浠蜂績閿�娲诲姩.鏍规嵁浠ュ線鐨勭粺璁★紝濡傛灉璇ョ數鍔ㄧ帺鍏风殑鍗曚环姣忛檷浣�0.5鍏冿紝鏃ュ钩鍧囬攢鍞噺灏变細澶х害澧炲姞10涓�.涓轰簡浣夸績閿�娲诲姩鏈熼棿鏃ュ钩鍧囧埄娑︿笉浣庝簬骞虫椂锛屽簲濡備綍纭畾闄嶄环鐨勮寖鍥达紵
+ </p>
+ <p class="block">
+ <span
+ class="zt-ls2"><b>鍒嗘瀽</b></span>銆�鍒╂鼎=锛堥攢鍞崟浠�-鎴愭湰鍗曚环锛壝楅攢鍞噺.闄嶄环杩囩▼涓紝鍗曚环闄嶄綆鑳藉浣块攢鍞噺鍙樺ぇ锛屼絾涔熶娇閿�鍞崟浠蜂笌鎴愭湰鍗曚环鐨勫樊鍑忓皬锛屾墍浠ラ檷浠风殑鑼冨洿搴斾繚璇佸埄娑︿笉浣庝簬淇冮攢鍓�.
+ </p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 鐢变緥1鍜屼緥2鍙煡锛屽湪瑙ｅ喅涓庝竴鍏冧簩娆′笉绛夊紡鏈夊叧鐨勫疄闄呴棶棰樻椂锛屼笉浠呰瑙ｄ竴鍏冧簩娆′笉绛夊紡锛岃�屼笖瑕佽�冭檻瀹為檯鑳屾櫙瀵规湭鐭ユ暟鐨勯檺鍒�.鍦ㄤ緥1涓紝瀹為檯鑳屾櫙瀵规湭鐭ユ暟鐨勯檺鍒舵槸0锛�<i>x</i>锛�4锛涘湪渚�2涓紝瀹為檯鑳屾櫙瀵规湭鐭ユ暟鐨勯檺鍒舵槸0锛�<i>x</i>锛�10.
+ </p>
+ </div>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ 鍋囪闄嶄环<i>x</i>鍏�.鑰冭檻鍒板疄闄呮儏鍐碉紝浠锋牸鐨勯檷骞呭簲灏忎簬10鍏冿紝鍗充繚璇侀攢鍞环楂樹簬鎴愭湰浠凤紝鎵�浠ヨ姹�<i>x</i>锛�0骞朵笖<i>x</i>锛�10锛屽嵆0锛�<i>x</i>锛�10.
+ </p>
+ <p>骞虫椂鐨勬棩骞冲潎鍒╂鼎涓猴紙20-10锛壝�100=1 000锛堝厓锛�.</p>
+ <p>
+ 闄嶄环<i>x</i>鍏冨悗锛岄攢鍞崟浠蜂负锛�20-<i>x</i>锛夊厓锛屽崟涓帺鍏风殑鍒╂鼎涓猴紙20-<i>x</i>锛�-10=锛�10-<i>x</i>锛夊厓锛屾棩骞冲潎閿�鍞噺涓�<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mn>100</mn>
+ <mo>+</mo>
+ <mfrac>
+ <mn>10</mn>
+ <mn>0.5</mn>
+ </mfrac>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>涓�.鍥犳锛岄檷浠�<i>x</i>鍏冨悗鐨勬棩骞冲潎鍒╂鼎涓猴紙10-<i>x</i>锛夛紙100+20<i>x</i>锛夊厓.
+ </p>
+ <p>鐢遍鎰忓緱锛�10-<i>x</i>锛夛紙100+20<i>x</i>锛夆墺1 000.</p>
+ <p>鍖栫畝寰�<i>x</i><sup>2</sup>-5<i>x</i>鈮�0锛屽嵆<i>x</i>锛�<i>x</i>-5锛夆墹0.</p>
+ <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗕负 {<i>x</i>|0鈮�<i>x</i>鈮�5}.</p>
+ <p>
+ 鐢变簬0锛�<i>x</i>锛�10锛屾墍浠�<i>x</i>鐨勮寖鍥存槸{<i>x</i>|0锛�<i>x</i>锛�10}鈭﹞<i>x</i>|0鈮�<i>x</i>鈮�5}锛屽嵆{<i>x</i>|0锛�<i>x</i>鈮�5}.鎵�浠ラ檷浠风殑鑼冨洿搴斿湪0鑷�5鍏冧箣闂达紙鍚�5鍏冿紝涓嶅惈0鍏冿級锛屽嵆鍗曚环瀹氬湪15鍏冭嚦20鍏冧箣闂达紙鍚�15鍏冿紝涓嶅惈20鍏冿級锛屼究鑳芥弧瓒宠姹�.
+ </p>
+ <div class="bk-hzjl">
+ <div class="bj1-hzjl">
+ <p class="left">
+ <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
+ </p>
+ </div>
+ <examinations :cardList="questionData[63]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 057 -->
@@ -333,8 +2308,67 @@
<p><span>057</span></p>
</li>
</ul>
-
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0068-1.jpg" /></p>
+ <p class="img">绗�2棰樺浘</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <examinations :cardList="questionData[64]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
+ </div>
+ <h3 id="c024">
+ 2.5.2 涓嶇瓑寮忎笌澶嶆潅瀹為檯闂<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <p>
+ <span
+ class="zt-ls"><b>渚�1</b></span>銆�鎴戝浗浜ら�氭硶瑙勫灏忓瀷姹借溅椹鹃┒鍛樼殑骞撮緞闄愬埗濡備笅锛氭渶浣庡勾榫�18鍛ㄥ瞾锛屾渶楂樺勾榫�70鍛ㄥ瞾.宸叉湁鐮旂┒琛ㄦ槑锛屽皬鍨嬫苯杞﹂┚椹跺憳瀵圭孩缁跨伅鍙樺寲鐨勫弽搴旀椂闂�<i>y</i>锛坢s锛�
+ 涓庨┚椹跺憳骞撮緞<i>x</i>锛堝懆宀侊級
+ 鐨勫叧绯讳负<i>y</i>=0.005<i>x</i><sup>2</sup>-0.2<i>x</i>+22锛屽叾涓�18鈮�<i>x</i>鈮�70.闂細鍙嶅簲鏃堕棿瓒呰繃24.5ms鐨勯┚椹跺憳鎵�澶勭殑骞撮緞鑼冨洿鏄灏戯紵
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 鐢遍鎰忓緱锛�<i>y</i>=0.005<i>x</i><sup>2</sup>-0.2<i>x</i>+22锛�24.5锛屽嵆
+ </p>
+ <p>銆�銆�銆�銆�銆�0.005<i>x</i><sup>2</sup>-0.2<i>x</i>-2.5锛�0.</p>
+ <p>鍖栫畝寰� <i>x</i><sup>2</sup>-40<i>x</i>-500锛�0.</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0068-2.jpg" /></p>
+ <p class="img">鍥�2-14</p>
+ <p>
+ 鑰冩煡浜屾鍑芥暟<i>y</i>=<i>x</i><sup>2</sup>-40<i>x</i>-500锛�<i>a</i>=1锛�0锛�<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>=锛�-40锛�<sup>2</sup>-4脳1脳锛�-500锛�=3
+ 600锛�0锛屾墍浠ヤ簩娆″嚱鏁�<i>y</i>=<i>x</i><sup>2</sup>-40<i>x</i>-500鐨勫浘鍍忓紑鍙ｅ悜涓婏紝骞朵笖涓�<i>x</i>杞存湁涓や釜浜ょ偣.鍏剁畝鍥惧鍥�2-14鎵�绀�.
+ </p>
+ <p>
+ 鐢卞浘鍍忓彲鐭ワ紝涓嶇瓑寮�<i>x</i><sup>2</sup>-40<i>x</i>-500锛�0鐨勮В闆嗕负锛�-鈭烇紝-10锛夆埅锛�50锛�+鈭烇級锛岃繖涔熸槸涓嶇瓑寮�0.005<i>x</i><sup>2</sup>-0.2<i>x</i>-2.5锛�0鐨勮В闆�.
+ </p>
+ <p>
+ 鑰冭檻鍒�18鈮�<i>x</i>鈮�70锛屾墍浠�<i>x</i>鐨勮寖鍥存槸锛�50锛�70锛斤紝鍗冲弽搴旀椂闂磋秴杩�24.5
+ <i>ms</i>
+ 鐨勯┚椹跺憳鎵�澶勭殑骞撮緞鑼冨洿鍦�50宀佽嚦70宀佷箣闂达紙涓嶅寘鍚�50宀侊紝鍖呭惈70宀侊級.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�韬綋璐ㄩ噺鎸囨暟锛圔ody Mass
+ Index锛孊MI锛夋槸琛￠噺浜轰綋鑳栫槮绋嬪害鐨勪竴涓父鐢ㄦ爣鍑嗭紝璁＄畻鍏紡涓�<math display="0">
+ <mi>B</mi>
+ <mi>M</mi>
+ <mi>I</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mo>浣撻噸</mo>
+ </mrow>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>韬珮</mo>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </mfrac>
+ </math>锛圔MI鍗曚綅锛歬g/m<sup>2</sup>锛�.涓�椤圭爺绌舵寚鍑猴紝涓亴瀛︾敓韬綋璐ㄩ噺鎸囨暟涓庤韩浣撶礌璐ㄤ箣闂村瓨鍦ㄤ竴瀹氱殑鍏崇郴.鐮旂┒涓娇鐢ㄨ韩浣撶礌璐ㄦ寚鏍囨潵琛￠噺瀛�
+ </p>
+ </div>
</div>
</div>
<!-- 058 -->
@@ -346,7 +2380,53 @@
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ 鐢熺殑韬綋绱犺川锛岃鎸囨爣鏄寚瀛︾敓鍙傚姞50m璺戯紝绔嬪畾璺宠繙锛屽姏閲忥紙鐢风敓寮曚綋鍚戜笂銆佸コ鐢�1鍒嗛挓浠板崸璧峰潗锛夛紝鑰愬姏璺戯紙鐢风敓1
+ 000m璺戙�佸コ鐢�800m璺戯級锛屽潗浣嶄綋鍓嶅眻绛夐」鐩殑鎴愮哗鎬诲拰.韬綋绱犺川鎸囨爣涓烘鏁拌鏄庤韩浣撶礌璐ㄨ緝濂�.涓婅堪鐮旂┒鍙戠幇锛岃韩浣撶礌璐ㄦ寚鏍囷紙<i>y</i>锛変笌BMI锛�<i>x</i>锛�
+ 涔嬮棿鐨勫叧绯诲琛�2-7鎵�绀�.
+ </p>
+ <p>闂細韬綋绱犺川杈冨ソ鐨勭敺鐢熷拰濂崇敓锛屽叾BMI鐨勮寖鍥村垎鍒槸澶氬皯锛�</p>
+ <p class="img">琛�2-7</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0069-1.jpg" /></p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ 鍏堣�冭檻鐢风敓鐨勬儏鍐�.鐢遍鎰忓緱锛�<i>y</i>=-0.05<i>x</i><sup>2</sup>+2<i>x</i>-19.2锛�0锛屽嵆
+ </p>
+ <p class="center">0.05<i>x</i><sup>2</sup>-2<i>x</i>+19.2锛�0.</p>
+ <p>鍖栫畝寰椼��<i>x</i><sup>2</sup>-40<i>x</i>+384锛�0.</p>
+ <p>
+ 鑰冩煡浜屾鍑芥暟<i>y</i>=<i>x</i><sup>2</sup>-40<i>x</i>+384锛�<i>a</i>=1锛�0锛�<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>=40<sup>2</sup>-4脳1脳384=64锛�0锛屾墍浠ヤ簩娆″嚱鏁�<i>y</i>=<i>x</i><sup>2</sup>-40<i>x</i>+384鐨勫浘鍍忓紑鍙ｅ悜涓婏紝涓�<i>x</i>杞存湁涓や釜浜ょ偣.
+ </p>
+ <p>
+ 鎵�浠ヤ笉绛夊紡<i>x</i><sup>2</sup>-40<i>x</i>+384锛�0鐨勮В闆嗕负锛�16锛�24锛夛紝杩欎篃鏄笉绛夊紡-0.05<i>x</i><sup>2</sup>+2<i>x</i>-19.2锛�0鐨勮В闆�.
+ </p>
+ <p>
+ 鍐嶈�冭檻濂崇敓鐨勬儏鍐�.鐢遍鎰忓緱锛�<i>y</i>=-0.01<i>x</i><sup>2</sup>+0.39<i>x</i>-3.68锛�0锛屽嵆
+ </p>
+ <p class="center">0.01<i>x</i><sup>2</sup>-0.39<i>x</i>+3.68锛�0.</p>
+ <p>鍖栫畝寰椼��<i>x</i><sup>2</sup>-39<i>x</i>+368锛�0.</p>
+ <p>
+ 鑰冩煡浜屾鍑芥暟<i>y</i>=<i>x</i><sup>2</sup>-39<i>x</i>+368锛�<i>a</i>=1锛�0锛�<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>=锛�-39锛�<sup>2</sup>-4脳1脳368=49锛�0锛屾墍浠ヤ簩娆″嚱鏁�<i>y</i>=<i>x</i><sup>2</sup>-39<i>x</i>+368鐨勫浘鍍忓紑鍙ｅ悜涓婏紝涓�<i>x</i>杞存湁涓や釜浜ょ偣.
+ </p>
+ <p>
+ 鎵�浠ヤ笉绛夊紡<i>x</i><sup>2</sup>-39<i>x</i>+368锛�0鐨勮В闆嗕负锛�16锛�23锛夛紝杩欎篃鏄笉绛夊紡-0.01<i>x</i><sup>2</sup>+0.39<i>x</i>-3.68锛�0鐨勮В闆�.
+ </p>
+ <p>
+ 鍥犳锛岃韩浣撶礌璐ㄨ緝濂界殑鐢风敓BMI 鐨勮寖鍥存槸锛�16锛�24锛夛紝韬綋绱犺川杈冨ソ鐨勫コ鐢烞MI
+ 鐨勮寖鍥存槸锛�16锛�23锛�.
+ </p>
+ <div class="bk-hzjl">
+ <div class="bj1-hzjl">
+ <p class="left">
+ <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 灏忕粍鍚堜綔鏀堕泦鐢ㄤ竴鍏冧簩娆′笉绛夊紡瑙ｅ喅鐨勫疄闄呴棶棰橈紝骞舵帰绌惰В鍐宠繖绫婚棶棰樼殑涓�鑸楠ゅ拰娉ㄦ剰浜嬮」.
+ </p>
+ </div>
+ </div>
</div>
</div>
<!-- 059 -->
@@ -357,22 +2437,21 @@
<p>绗簩鍗曞厓 涓嶇瓑寮�</p>
</li>
<li>
- <p><span>059</span></p>
+ <p><span>059-060</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c025">涔犻2.5<span class="fontsz2">锛烇紴锛�</span></h3>
+ <div class="bj" >
+ <examinations :cardList="questionData[66]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 060 -->
- <div class="page-box" page="67">
- <div v-if="showPageList.indexOf(67) > -1">
- <ul class="page-header-odd fl al-end">
- <li>060</li>
- <li>鏁板.鍩虹妯″潡</li>
- <li>涓婂唽</li>
- </ul>
- <div class="padding-116"></div>
- </div>
+ <div class="page-box hidePage" page="67">
+
</div>
<!-- 061 -->
<div class="page-box" page="68">
@@ -385,7 +2464,117 @@
<p><span>061</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h2 id="b012">鏁板鍥湴<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span></h2>
+ <p>
+ 鏈崟鍏冧腑锛屾垜浠涔犱簡涓嶇瓑寮忕殑涓�浜涙�ц川锛屼互鍙婂浣曡В涓�鍏冧簩娆′笉绛夊紡鍜屽惈缁濆鍊肩殑涓嶇瓑寮�.瀹為檯涓婏紝鏁板棰嗗煙涓繕鏈夊緢澶氫笉绛夊紡锛屼篃琚敤鏉ヨВ鍐崇敓浜х敓娲讳腑鐨勫疄闄呴棶棰�.灏ゅ叾鏄井绉垎浣撶郴寤虹珛浠ュ墠锛屼笉绛夊紡鏄绠楁渶澶у�煎拰鏈�灏忓�奸棶棰樼殑鏈�浣冲伐鍏�.涓嬮潰鎴戜滑浠嬬粛涓�浜涜憲鍚嶇殑涓嶇瓑寮�.
+ </p>
+ <p>
+ 濉啓琛�2-8锛屽苟瑙傚療<math display="0">
+ <mfrac>
+ <mrow>
+ <mi>a</mi>
+ <mo>+</mo>
+ <mi>b</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛�<math display="0">
+ <msqrt>
+ <mi>a</mi>
+ <mi>b</mi>
+ </msqrt>
+ </math>锛�<math display="0">
+ <mfrac>
+ <mn>2</mn>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mi>a</mi>
+ </mfrac>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mi>b</mi>
+ </mfrac>
+ </mrow>
+ </mfrac>
+ </math>杩欎笁涓暟鐨勫ぇ灏忓叧绯�.
+ </p>
+ <p class="img">琛�2-8</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0072-4.jpg" /></p>
+ <p>
+ 濉啓琛�2-9锛屽苟瑙傚療<math display="0">
+ <mfrac>
+ <mrow>
+ <mi>a</mi>
+ <mo>+</mo>
+ <mi>b</mi>
+ <mo>+</mo>
+ <mi>c</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ </math>锛�<math display="0">
+ <mroot>
+ <mrow>
+ <mi>a</mi>
+ <mi>b</mi>
+ <mi>c</mi>
+ </mrow>
+ <mn>3</mn>
+ </mroot>
+ </math>锛�<math display="0">
+ <mfrac>
+ <mn>3</mn>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mi>a</mi>
+ </mfrac>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mi>b</mi>
+ </mfrac>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mi>b</mi>
+ </mfrac>
+ </mrow>
+ </mfrac>
+ </math>杩欎笁涓暟鐨勫ぇ灏忓叧绯�.
+ </p>
+ <p class="img">琛�2-9</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0072-8.jpg" /></p>
+ <p>閫氳繃濉啓鍜岃瀵熶笂闈袱涓〃鏍硷紝浣犳湁浠�涔堝彂鐜板拰鐚滄兂锛�</p>
+ <p>瀹為檯涓婏紝鑻�<i>a</i>锛�<i>b</i>锛�<i>c</i>鍧囦负姝ｆ暟锛屽垯鍙粰鍑哄涓嬪畾涔�.</p>
+ <p>
+ 锛�1锛�
+ <math display="0">
+ <mfrac>
+ <mrow>
+ <mi>a</mi>
+ <mo>+</mo>
+ <mi>b</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ </math>鍙綔<i>a</i>锛�<i>b</i>涓ゆ暟鐨勭畻鏈钩鍧囨暟锛�<math display="0">
+ <mfrac>
+ <mrow>
+ <mi>a</mi>
+ <mo>+</mo>
+ <mi>b</mi>
+ <mo>+</mo>
+ <mi>c</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ </math>鍙綔<i>a</i>锛�<i>b</i>锛�<i>c</i>涓夋暟鐨勭畻鏈钩鍧囨暟锛�
+ </p>
+ </div>
</div>
</div>
<!-- 062 -->
@@ -396,7 +2585,264 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ 锛�2锛�
+ <math display="0">
+ <msqrt>
+ <mi>a</mi>
+ <mi>b</mi>
+ </msqrt>
+ </math>鍙綔<i>a</i>锛�<i>b</i>涓ゆ暟鐨勫嚑浣曞钩鍧囨暟锛�<math display="0">
+ <mroot>
+ <mrow>
+ <mi>a</mi>
+ <mi>b</mi>
+ <mi>c</mi>
+ </mrow>
+ <mn>3</mn>
+ </mroot>
+ </math>鍙綔<i>a</i>锛�<i>b</i>锛�<i>c</i>涓夋暟鐨勫嚑浣曞钩鍧囨暟锛�
+ </p>
+ <p>
+ 锛�3锛�
+ <math display="0">
+ <mfrac>
+ <mn>2</mn>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mi>a</mi>
+ </mfrac>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mi>b</mi>
+ </mfrac>
+ </mrow>
+ </mfrac>
+ </math>鍙綔<i>a</i>锛�<i>b</i>涓ゆ暟鐨勮皟鍜屽钩鍧囨暟锛�<math display="0">
+ <mfrac>
+ <mn>3</mn>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mi>a</mi>
+ </mfrac>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mi>b</mi>
+ </mfrac>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mi>c</mi>
+ </mfrac>
+ </mrow>
+ </mfrac>
+ </math>鍙綔<i>a</i>锛�<i>b</i>锛�<i>c</i>涓夋暟鐨勮皟鍜屽钩鍧囨暟.
+ </p>
+ <p>瑙傚療涓婇潰涓や釜琛ㄦ牸锛屽彲浠ュ彂鐜�</p>
+ <math display="block">
+ <mfrac>
+ <mrow>
+ <mi>a</mi>
+ <mo>+</mo>
+ <mi>b</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ <mo>猢�</mo>
+ <msqrt>
+ <mi>a</mi>
+ <mi>b</mi>
+ </msqrt>
+ <mo>猢�</mo>
+ <mfrac>
+ <mn>2</mn>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mi>a</mi>
+ </mfrac>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mi>b</mi>
+ </mfrac>
+ </mrow>
+ </mfrac>
+ <mo>,</mo>
+ <mfrac>
+ <mrow>
+ <mi>a</mi>
+ <mo>+</mo>
+ <mi>b</mi>
+ <mo>+</mo>
+ <mi>c</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mo>猢�</mo>
+ <mroot>
+ <mrow>
+ <mi>a</mi>
+ <mi>b</mi>
+ <mi>c</mi>
+ </mrow>
+ <mn>3</mn>
+ </mroot>
+ <mo>猢�</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mi>a</mi>
+ </mfrac>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mi>b</mi>
+ </mfrac>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mi>c</mi>
+ </mfrac>
+ </mrow>
+ </mfrac>
+ <mo>.</mo>
+ </math>
+ <p>
+ 澶ц儐鍦版兂涓�鎯筹紝瀵逛簬<i>n</i>涓鏁扮殑绠楁湳骞冲潎鏁般�佸嚑浣曞钩鍧囨暟銆佽皟鍜屽钩鍧囨暟锛屾�庢牱鐢ㄧ鍙疯〃绀猴紵瀹冧滑鐨勫ぇ灏忓叧绯昏兘纭畾鍚楋紵
+ </p>
+ <p>
+ 涓�鑸湴锛岃嫢<i>a</i>1锛�<i>a</i>2锛�<i>a</i>3锛屸�︼紝<i>an</i>涓�<i>n</i>涓鏁帮紝鍒欐湁
+ </p>
+ <math display="block">
+ <mfrac>
+ <mrow>
+ <msub>
+ <mi>a</mi>
+ <mrow>
+ <mn>1</mn>
+ </mrow>
+ </msub>
+ <mo>+</mo>
+ <msub>
+ <mi>a</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msub>
+ <mo>+</mo>
+ <msub>
+ <mi>a</mi>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msub>
+ <mo>+</mo>
+ <mo>鈰�</mo>
+ <mo>+</mo>
+ <msub>
+ <mi>a</mi>
+ <mrow>
+ <mi>n</mi>
+ </mrow>
+ </msub>
+ </mrow>
+ <mi>n</mi>
+ </mfrac>
+ <mo>猢�</mo>
+ <mroot>
+ <mrow>
+ <msub>
+ <mi>a</mi>
+ <mrow>
+ <mn>1</mn>
+ </mrow>
+ </msub>
+ <msub>
+ <mi>a</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msub>
+ <msub>
+ <mi>a</mi>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msub>
+ <mo>鈰�</mo>
+ <msub>
+ <mi>a</mi>
+ <mrow>
+ <mi>n</mi>
+ </mrow>
+ </msub>
+ </mrow>
+ <mi>n</mi>
+ </mroot>
+ <mo>猢�</mo>
+ <mfrac>
+ <mi>n</mi>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <msub>
+ <mi>a</mi>
+ <mrow>
+ <mn>1</mn>
+ </mrow>
+ </msub>
+ </mfrac>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <msub>
+ <mi>a</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msub>
+ </mfrac>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <msub>
+ <mi>a</mi>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msub>
+ </mfrac>
+ <mo>+</mo>
+ <mo>鈰�</mo>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <msub>
+ <mi>a</mi>
+ <mrow>
+ <mi>n</mi>
+ </mrow>
+ </msub>
+ </mfrac>
+ </mrow>
+ </mfrac>
+ <mo>.</mo>
+ </math>
+ <p>
+ 鍏朵腑锛屽綋<i>a</i><sub>1</sub>=<i>a</i><sub>1</sub>=<i>a</i><sub>1</sub>=鈥�=<i>an</i>鏃讹紝绛夊彿鎴愮珛.
+ </p>
+ <p>
+ 闅忕潃瀛︿範鐨勮繘涓�姝ユ繁鍏ワ紝鎴戜滑灏辫兘澶熻瘉鏄庢暟瀛﹀彶涓婅繖涓憲鍚嶇殑涓嶇瓑寮忥紝骞朵笖鐭ラ亾瀹冪殑骞挎硾搴旂敤.
+ </p>
+ </div>
</div>
</div>
<!-- 063 -->
@@ -410,8 +2856,46 @@
<p><span>063</span></p>
</li>
</ul>
-
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h2 id="b013">鍗曞厓灏忕粨<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span></h2>
+ <p class="bj2"><b>瀛︿範瀵煎浘</b></p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0074-1.jpg" /></p>
+ <p class="bj2"><b>瀛︿範鎸囧</b></p>
+ <p>1.涓嶇瓑寮忕殑鍩烘湰鎬ц川.</p>
+ <p>锛�1锛� 姣旇緝鏁帮紙寮忥級鐨勫ぇ灏忓父鐢ㄢ�滀綔宸瘮杈冩硶鈥�.</p>
+ <p>锛�2锛� 杩愮敤涓嶇瓑寮忕殑鎬ц川鏃讹紝瑕佹敞鎰忛獙璇佹潯浠舵槸鍚﹂兘婊¤冻.</p>
+ <p>2.鍖洪棿.</p>
+ <p>
+ 鍖洪棿鏄泦鍚堢殑涓�绉嶈〃绀哄舰寮忥紝涓昏鍖呮嫭寮�鍖洪棿銆侀棴鍖洪棿銆佸乏寮�鍙抽棴鍖洪棿鍜屽彸寮�宸﹂棴鍖洪棿.
+ </p>
+ <p>3.涓�鍏冧簩娆′笉绛夊紡.</p>
+ <p>
+ 锛�1锛� 灏嗕竴鍏冧簩娆′笉绛夊紡缁熶竴鍖栨垚<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0锛堚墺0锛�
+ 鎴�<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0锛堚墹0锛�
+ 鐨勫舰寮�.
+ </p>
+ <p>
+ 锛�2锛� 鑻�<i>a</i>锛�0锛屾鏃朵簩娆″嚱鏁扮殑鍥惧儚寮�鍙ｅ悜涓婏紝璁＄畻鍒ゅ埆寮�<i>螖</i>=<i>b</i><sup>2</sup>-4<i>ac</i>.
+ </p>
+ <p>
+ 鈶犲綋<i>螖</i>锛�0鏃讹紝浜屾鍑芥暟鐨勫浘鍍忎笌<i>x</i>杞存湁涓や釜涓嶅悓鐨勪氦鐐癸紙<i>x</i><sub>1</sub>锛�0锛夛紝锛�<i>x</i><sub>2</sub>锛�0锛夛紙<i>x</i><sub>1</sub>锛�<i>x</i><sub>2</sub>锛�.鐢诲嚭鍑芥暟绠�鍥撅紝鍙緱濡備笅缁撹.
+ </p>
+ <p>
+ <i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0鐨勮В闆嗕负锛�-鈭烇紝<i>x</i><sub>1</sub>锛夆埅锛�<i>x</i><sub>2</sub>锛�+鈭烇級锛�
+ </p>
+ <p>
+ <i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鈮�0鐨勮В闆嗕负锛�-鈭烇紝<i>x</i><sub>1</sub>锛解埅锛�<i>x</i><sub>2</sub>锛�+鈭烇級锛�
+ </p>
+ <p>
+ <i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0鐨勮В闆嗕负锛�<i>x</i><sub>1</sub>锛�<i>x</i><sub>2</sub>锛夛紱
+ </p>
+ <p>
+ <i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鈮�0鐨勮В闆嗕负 锛�<i>x</i><sub>1</sub>锛�<i>x</i><sub>2</sub>锛�.
+ </p>
+ <p>
+ 鈶″綋<i>螖</i>=0鏃讹紝浜屾鍑芥暟鐨勫浘鍍忎笌<i>x</i>杞村彧鏈変竴涓氦鐐癸紙<i>x</i><sub>0</sub>锛�0锛�.鐢诲嚭鍑芥暟绠�鍥撅紝鍙緱濡備笅缁撹.
+ </p>
+ </div>
</div>
</div>
<!-- 064 -->
@@ -423,58 +2907,109 @@
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ <i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0鐨勮В闆嗕负锛�-鈭烇紝<i>x</i><sub>0</sub>锛夆埅锛�<i>x</i><sub>0</sub>锛�+鈭烇級锛�
+ </p>
+ <p><i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鈮�0鐨勮В闆嗕负<b>R</b>锛�</p>
+ <p><i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0鐨勮В闆嗕负 鈭咃紱</p>
+ <p>
+ <i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鈮�0鐨勮В闆嗕负 {<i>x</i>|<i>x</i>=<i>x</i><sub>0</sub>}.
+ </p>
+ <p>
+ 鈶㈠綋<i>螖</i>锛�0鏃讹紝浜屾鍑芥暟鐨勫浘鍍忎笌<i>x</i>杞存病鏈変氦鐐�.鐢诲嚭鍑芥暟绠�鍥撅紝鍙緱濡備笅缁撹.
+ </p>
+ <p>
+ <i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0鍜�<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鈮�0鐨勮В闆嗗潎涓�<b>R</b>锛�
+ </p>
+ <p>
+ <i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>锛�0鍜�<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鈮�0鐨勮В闆嗗潎涓� 鈭�.
+ </p>
+ <p>
+ 锛�3锛�
+ 鑻�<i>a</i>锛�0锛屽垯鍙互杞寲涓�-<i>ax</i><sup>2</sup>-<i>bx</i>-<i>c</i>锛�0锛堚墺0锛夋垨-<i>ax</i><sup>2</sup>-<i>bx</i>-<i>c</i>锛�0锛堚墹0锛夌殑鎯呭舰锛岀劧鍚庡啀鎸夋楠わ紙2锛�
+ 鐨勬柟娉曡繘琛屾眰瑙�.
+ </p>
+ <p>4.鍚粷瀵瑰�肩殑涓嶇瓑寮�.</p>
+ <p>
+ 锛�1锛�
+ 涓嶇瓑寮忥綔<i>x</i>锝溾墹<i>a</i>锛�<i>a</i>锛�0锛夌殑瑙ｉ泦鏄瘂<i>x</i>锝�-<i>a</i>鈮�<i>x</i>鈮�<i>a</i>}锛岀敤鍖洪棿琛ㄧず涓猴蓟-<i>a</i>锛�<i>a</i>锛�.
+ </p>
+ <p>
+ 锛�2锛�
+ 涓嶇瓑寮忥綔<i>x</i>锝滐紴<i>a</i>锛�<i>a</i>锛�0锛夌殑瑙ｉ泦鏄瘂<i>x</i>锝�<i>x</i>锛�-<i>a</i>鎴�<i>x</i>锛�<i>a</i>}锛岀敤鍖洪棿琛ㄧず涓猴紙-鈭烇紝-<i>a</i>锛夆埅锛�<i>a</i>锛�+鈭烇級.
+ </p>
+ <p>
+ 锛�3锛�
+ 姹傝В褰㈠锝�<i>ax</i>+<i>b</i>锝滐紲<i>c</i>鍜岋綔<i>ax</i>+<i>b</i>锝滐紴<i>c</i>锛�<i>c</i>锛�0锛夌殑涓嶇瓑寮忔椂锛屽彲浠ュ皢<i>ax</i>+<i>b</i>鐪嬩綔涓�涓暣浣擄紝
+ 鍐嶅埄鐢ㄥ惈缁濆鍊间笉绛夊紡鐨勫熀鏈В娉曪紝 鍘绘帀缁濆鍊硷紝 鐒跺悗杩涜姹傝В.
+ </p>
+ <p>5.涓嶇瓑寮忕殑搴旂敤.</p>
+ <p>
+ 锛�1锛�
+ 鍦ㄨВ鍐抽棶棰樼殑杩囩▼涓綋楠屽浣曚娇鐢ㄤ簩娆″嚱鏁扮殑鍥惧儚鐩磋鍦板緱鍑轰竴鍏冧簩娆′笉绛夊紡鐨勮В闆嗭紝瀛︿細鍒╃敤鏁板舰缁撳悎鐨勬�濇兂鏂规硶瑙ｅ喅闂.
+ </p>
+ <p>锛�2锛� 搴旂敤涓�鍏冧簩娆′笉绛夊紡瑙ｅ喅瀹為檯闂鏃讹紝瑕佹敞鎰忔湭鐭ラ噺鐨勫疄闄呮剰涔�.</p>
+ </div>
</div>
</div>
<!-- 065 -->
<div class="page-box" page="72">
<div v-if="showPageList.indexOf(72) > -1">
-
<ul class="page-header-box">
<li>
<p>绗簩鍗曞厓 涓嶇瓑寮�</p>
</li>
<li>
- <p><span>065</span></p>
+ <p><span>065-066</span></p>
</li>
</ul>
-
- <div class="padding-116">72</div>
+ <div class="padding-116">
+ <h2 id="b014">鍗曞厓妫�娴�<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span></h2>
+ <div class="bj" >
+ <examinations :cardList="questionData[72]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 066 -->
- <div class="page-box" page="73">
- <div v-if="showPageList.indexOf(73) > -1">
- <ul class="page-header-odd fl al-end">
- <li>066</li>
- <li>鏁板.鍩虹妯″潡</li>
- <li>涓婂唽</li>
- </ul>
- <div class="padding-116">73</div>
- </div>
+ <div class="page-box hidePage" page="73">
</div>
</div>
</template>
<script>
+import examinations from '@/components/examinations/index.vue'
export default {
- name: '',
+ name: "",
props: {
showPageList: {
type: Array,
default: [],
},
+ questionData: {
+ type: Object,
+ },
},
- components: {},
+ components: {examinations},
data() {
- return {}
+ return {};
},
- computed: {},
- watch: {},
- created() { },
mounted() { },
methods: {},
-}
+};
</script>
-<style lang="less" scoped></style>
+<style lang="less" scoped>
+.pr {
+ position: relative;
+}
+
+.pa-bk {
+ position: absolute;
+ right: 45px;
+ top: 0;
+ width: 140px;
+}
+</style>
diff --git a/src/books/mathBook/view/components/chapter003.vue b/src/books/mathBook/view/components/chapter003.vue
index d8ab9ff..b83f5c6 100644
--- a/src/books/mathBook/view/components/chapter003.vue
+++ b/src/books/mathBook/view/components/chapter003.vue
@@ -1,21 +1,43 @@
<template>
- <div class="chapter" num="4">
+ <div class="chapter" num="3">
<!-- 绗笁鍗曞厓棣栭〉 -->
<div class="page-box" page="74">
<div v-if="showPageList.indexOf(74) > -1">
-
- <div class="padding-116">绗笁鍗曞厓棣栭〉</div>
+ <h1 id="a007"><img class="img-0" alt="" src="../../assets/images/dy3.jpg" /></h1>
+ <div class="padding-116">
+ <p>
+ 鍦ㄥ瑙備笘鐣屼腑瀛樺湪鍚勭鍚勬牱鐨勮繍鍔ㄥ彉鍖栫幇璞�.濡傛惌杞界鑸熷崄鍥涘彿杞戒汉椋炶埞鐨勯暱寰佷簩鍙疯繍杞界伀绠彂灏勮繃绋嬩腑锛岄鑸逛笌鍙戝皠鐐硅窛绂讳細闅忕潃鏃堕棿鐨勫彉鍖栬�屽彉鍖栵紱娣辨捣鍕囧＋鍙疯浇浜烘綔姘村櫒鍦ㄤ笅娼滃疄楠岃繃绋嬩腑锛屽叾鍘嬪己闅忕潃涓嬫綔娣卞害鐨勫鍔犺�屽澶э紱浠ｈ〃鏂拌兘婧愭妧鏈殑鍏変紡鍙戠數鍜岄鑳藉彂鐢碉紝鎴戝浗鐨勮鏈哄閲忛殢鏃堕棿鍙樺寲鑰屽闀匡紱鎴戝浗蹇�熷彂灞曠殑楂橀�熼搧璺紝鍏舵�婚噷绋嬫槸閫愬勾澧炲姞鐨勶紝鐜板凡绐佺牬4涓噆m
+ 锛岀ǔ灞呬笘鐣岀涓�锛涙瘡涓汉鐨勪綋娓╅殢鐫�鏃堕棿鐨勫彉鍖栬�屽彉鍖栵紱鍒板晢搴楄喘涔板悓涓�绉嶉ギ鏂欑殑鏁伴噺瓒婂锛屼粯璐硅秺澶氱瓑.杩欎簺鍔ㄦ�佸彉鍖栫幇璞￠兘琛ㄧ幇涓哄彉閲忎箣闂寸殑瀵瑰簲鍏崇郴锛屾垜浠父鐢ㄥ嚱鏁版ā鍨嬫潵鎻忚堪杩欎簺鍙橀噺涔嬮棿鐨勫叧绯诲拰瑙勫緥锛屽苟閫氳繃鐮旂┒鍑芥暟鏉ヨ璇嗗瑙備笘鐣�.
+ </p>
+ <p>鍑芥暟鏄弿杩板瑙備笘鐣屽彉鍖栬寰嬪拰瑙ｅ喅鏁板闂鐨勯噸瑕佸伐鍏�.瀹冧笌浠ｆ暟寮忋�佹柟绋嬨�佷笉绛夊紡绛夌煡璇嗚仈绯荤揣瀵嗭紝鏄繘涓�姝ュ涔犳暟瀛︾殑閲嶈鍩虹.鍑芥暟鐨勬蹇靛強鍏跺弽鏄犵殑鏁板鎬濇兂鍜屾柟娉曞凡骞挎硾娓楅�忓埌鏁板鐨勫悇涓鍩燂紝骞跺湪鐜板疄鐢熸椿涓湁鐫�骞挎硾鐨勫簲鐢�.
+ </p>
+ <p>
+ 鏈崟鍏冧富瑕佸涔犲嚱鏁扮殑姒傚康銆佸嚱鏁扮殑琛ㄧず鏂规硶銆佸嚱鏁扮殑鍗曡皟鎬у拰濂囧伓鎬т互鍙婂嚱鏁扮殑搴旂敤.鏈崟鍏冪殑瀛︿範锛岄噸鍦ㄦ劅鍙楃敤鐩磋鎯宠薄浠庡叿浣撻棶棰樹腑鎶借薄鍑烘暟瀛﹂棶棰橈紝骞剁敤绮剧‘鐨勬暟瀛︾鍙疯瑷�琛ㄨ揪姒傚康銆佹�ц川銆佹帹鐞嗙瓑锛涙帉鎻＄爺绌跺嚱鏁扮殑鍩烘湰鍐呭銆佽繃绋嬪拰鏂规硶锛涜繍鐢ㄥ缓绔嬪垎娈靛嚱鏁般�佷簩娆″嚱鏁扮瓑鏁板妯″瀷瑙ｅ喅瀹為檯闂鐨勬柟娉曪紱绉疮涓�瀹氱殑鏁板缁忛獙鍜屾柟娉曪紝鎻愬崌鐩磋鎯宠薄銆佹暟瀛︽娊璞°�佹暟瀛﹀缓妯°�侀�昏緫鎺ㄧ悊绛夋牳蹇冪礌鍏�.
+ </p>
+ </div>
</div>
</div>
<!-- 鐩爣 -->
<div class="page-box" page="75">
<div v-if="showPageList.indexOf(75) > -1">
-
- <div class="padding-116">鐩爣</div>
+ <div class="padding-116">
+ <p class="left"><img class="inline2" alt="" src="../../assets/images/xxmb.jpg" /></p>
+ <div class="fieldset">
+ <p>1.鍑芥暟鐨勬蹇�.</p>
+ <p>鑳戒粠鍏蜂綋鎯呭涓娊璞℃鎷嚭鍑芥暟鐨勬蹇碉紝瀛︿範鐢ㄩ泦鍚堣瑷�鍜屽搴斿叧绯绘弿杩板嚱鏁版蹇�.</p>
+ <p>2.鍑芥暟鐨勮〃绀烘柟娉�.</p>
+ <p>浜嗚В鍑芥暟鐨勪笁绉嶈〃绀烘柟娉曪紝浼氭伆褰撳湴閫夌敤杩欎簺鏂规硶琛ㄧず鍑芥暟锛�</p>
+ <p>鐞嗚В鍒嗘鍑芥暟鐨勬蹇碉紱</p>
+ <p>閫氳繃鐮旂┒鍑芥暟鐨勫彉鍖栬寰嬫潵鎶婃彙瀹㈣涓栫晫涓簨鐗╃殑鍙樺寲瑙勫緥.</p>
+ <p>3.鍑芥暟鐨勫崟璋冩�у拰濂囧伓鎬�.</p>
+ <p>瀛︿範鐢ㄧ簿鍑嗙殑鏁板绗﹀彿璇█鎻忚堪鍑芥暟鐨勬�ц川锛屾帉鎻″垽鏂嚱鏁板崟璋冩�у拰濂囧伓鎬х殑鏂规硶.</p>
+ <p>4.鍑芥暟鐨勫簲鐢�.</p>
+ <p>鍒濇鎺屾彙寤虹珛鍒嗘鍑芥暟銆佷簩娆″嚱鏁版ā鍨嬫潵瑙ｅ喅瀹為檯闂鐨勬柟娉曪紱</p>
+ <p>鑳借繍鐢ㄥ嚱鏁扮殑鎬濇兂鍜屾柟娉曡В鍐冲疄闄呴棶棰橈紝鎻愬崌鏍稿績绱犲吇鍜屾�濈淮鍝佽川.</p>
+ </div>
+ </div>
</div>
</div>
-
-
<!-- 069 -->
<div class="page-box" page="76">
<div v-if="showPageList.indexOf(76) > -1">
@@ -27,7 +49,27 @@
<p><span>069</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h2 id="b015">3.1 鍑芥暟鐨勬蹇�<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span></h2>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" /></p>
+ <p>鎯呭1锛氳亴涓氭暀鑲插姪鍔涗埂鏉戞尟鍏达紝鏌愯亴涓氶櫌鏍＄數瀛愬晢鍔′笓涓氬鐢熷皬鑾夎礋璐ｅ府鍔╂煇鏉戝啘鎴峰湪鐢靛晢骞冲彴涓婇攢鍞�2 000 kg姗樺瓙锛屾瀛愮殑鍞环鏄�6鍏�/kg.鑰冩煡姗樺瓙鐨勯攢鍞敹鍏�<i>y</i>锛堝厓锛� 涓庨攢鍞噺<i>x</i>锛坘g锛�
+ 鐨勫叧绯�.
+ </p>
+ <p>鎯呭2锛氬琛�3-1鎵�绀猴紝2007骞�4鏈堣嚦2020骞�7鏈堬紝鎴戝浗鍏辨垚鍔熷彂灏勪簡55棰楀寳鏂楀鑸崼鏄燂紝鍏ㄩ潰寤烘垚浜嗘垜鍥借嚜涓诲缓璁俱�佺嫭绔嬭繍琛岀殑鍖楁枟鍗槦瀵艰埅绯荤粺.鑰冩煡姣忓勾鍙戝皠鍗槦鐨勯鏁�<i>y</i>涓庡勾浠�<i>x</i>鐨勫叧绯�.
+ </p>
+ <p class="img">琛�3-1</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0080-1.jpg" /></p>
+ <p>鎯呭3锛氫负浜嗗缓璁句汉涓庤嚜鐒跺拰璋愬叡鐢熺殑缇庝附瀹跺洯锛屾皵娓╁彉鍖栨槸鐜鐩戞祴鐨勯噸瑕佸唴瀹癸紝鏌愬煄甯傛煇骞�7鏈堟煇涓�澶╃殑姘旀俯濡傚浘3-1鎵�绀�.鎻忚堪杩欎竴澶╂皵娓╃殑鍙樺寲鎯呭喌锛岃�冩煡娓╁害<i>Q</i>涓庢椂闂�<i>t</i>鐨勫叧绯�.</p>
+ <p class="center"><img class="img-d" alt="" src="../../assets/images/0080-2.jpg" /></p>
+ <p class="img">鍥�3-1</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>鎯呭1涓紝姗樺瓙鐨勯攢鍞敹鍏�<i>y</i>涓庨攢鍞噺<i>x</i>鐨勫搴斿叧绯绘槸<i>y</i>=6<i>x</i>锛屽叾涓�<i>x</i>鐨勫彉鍖栬寖鍥存槸鏁伴泦<i>A</i>={<i>x</i>|0鈮�<i>x</i>鈮�2
+ 000}锛�<i>y</i>鐨勫彇鍊奸兘鍦ㄦ暟闆�<i>B</i>={<i>y</i>|0鈮�<i>y</i>鈮�12
+ 000}涓紝瀵逛簬鏁伴泦<i>A</i>涓殑浠讳竴閿�鍞噺<i>x</i>锛屽湪鏁伴泦<i>B</i>涓兘鏈夊敮涓�纭畾鐨勬敹鍏�<i>y</i>涓庝箣瀵瑰簲锛屾墍浠ユ瀛愮殑閿�鍞敹鍏�<i>y</i>鏄攢鍞噺<i>x</i>鐨勫嚱鏁�.</p>
+ <p>
+ 鎯呭2涓紝<i>x</i>琛ㄧず骞翠唤锛�<i>y</i>琛ㄧず鍙戝皠鍗槦棰楁暟锛�<i>x</i>鐨勫彉鍖栬寖鍥存槸鏁伴泦<i>A</i>={2007锛�
+ </p>
+ </div>
</div>
</div>
<!-- 070 -->
@@ -38,7 +80,36 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="t0">
+ 2009锛�2010锛�2011锛�2012锛�2015锛�2016锛�2017锛�2018锛�2019锛�2020}锛�<i>y</i>鐨勫彉鍖栬寖鍥存槸鏁伴泦<i>B</i>={1锛�2锛�3锛�4锛�5锛�6锛�10锛�18}锛屽浜庢暟闆�<i>A</i>涓殑浠讳竴骞翠唤<i>x</i>锛屾牴鎹〃3-1鎵�缁欏畾鐨勫搴斿叧绯伙紝鍦ㄦ暟闆�<i>B</i>涓兘鏈夊敮涓�纭畾鐨勫崼鏄熼鏁�<i>y</i>涓庝箣瀵瑰簲锛屽洜姝わ紝姣忓勾鍙戝皠鍗槦棰楁暟<i>y</i>鏄勾浠�<i>x</i>鐨勫嚱鏁�.
+ </p>
+ <p>
+ 鎯呭3涓紝<i>t</i>鐨勫彉鍖栬寖鍥存槸鏁伴泦<i>A</i>={<i>x</i>|0鈮�<i>t</i>鈮�24}锛�<i>Q</i>鐨勫彇鍊奸兘鍦ㄦ暟闆�<i>B</i>={<i>Q</i>|22鈮�<i>Q</i>鈮�32}涓紝瀵逛簬鏁伴泦<i>A</i>涓殑浠讳竴鏃跺埢<i>t</i>锛屾寜鐓у浘3-1涓洸绾跨粰鍑虹殑瀵瑰簲鍏崇郴锛屽湪鏁伴泦<i>B</i>涓兘鏈夊敮涓�纭畾鐨勬皵娓�<i>Q</i>涓庝箣瀵瑰簲锛屾墍浠ユ皵娓�<i>Q</i>鏄椂闂�<i>t</i>鐨勫嚱鏁�.
+ </p>
+ <p>鍦ㄧ幇瀹炵敓娲讳腑锛岃繖鏍风殑渚嬪瓙杩樻湁寰堝.姣斿锛屾瘡灏忔椂寰�钃勬按姹犻噷娉ㄥ叆2 <i>t</i>姘达紝钃勬按姹犵殑姘翠綅涓庢敞姘存椂闂寸殑瀵瑰簲鍏崇郴锛涚伀杞﹀寑閫熺洿绾胯椹剁殑璺▼涓庤椹舵椂闂寸殑瀵瑰簲鍏崇郴绛�.</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+ <p>涓�鑸湴锛岃<i>A</i>锛�<i>B</i>鏄潪绌烘暟闆嗭紝 濡傛灉瀛樺湪涓�涓搴斿叧绯�<i>f</i>锛屼娇瀵逛簬闆嗗悎 <i>A</i> 涓殑姣忎竴涓暟<i>x</i>锛屽湪闆嗗悎<i>B</i> 涓兘鏈夊敮涓�纭畾鐨勬暟<i>y</i>
+ 鍜屽畠瀵瑰簲锛岄偅涔堝氨鎶婂搴斿叧绯�<i>f</i>绉颁负瀹氫箟鍦ㄩ泦鍚�<i>A</i>涓婄殑涓�涓�<b>鍑芥暟</b>锛岃浣�</p>
+ <p class="center"><i>y</i>=<i>f</i>锛�<i>x</i>锛夛紝<i>x</i>鈭�<i>A</i>.</p>
+ <p>
+ 鍏朵腑锛�<i>x</i>鍙綔<b>鑷彉閲�</b>锛�<i>x</i>鐨勫彇鍊艰寖鍥�<i>A</i>鍙綔鍑芥暟鐨�<b>瀹氫箟鍩�</b>锛涗笌<i>x</i>鐨勫�肩浉瀵瑰簲鐨�<i>y</i>鍊煎彨浣滃嚱鏁板�硷紝鍑芥暟鍊肩殑闆嗗悎{<i>f</i>锛�<i>x</i>锛墊<i>x</i>鈭�<i>A</i>}鍙綔鍑芥暟鐨�<b>鍊煎煙</b>.
+ </p>
+ <p>
+ 姣斿锛屽垵涓涔犺繃鐨勪竴娆″嚱鏁�<i>y</i>=3<i>x</i>-2锛屽氨鏄粠瀹炴暟闆�<b>R</b>锛堥泦鍚�<i>A</i>锛夋寜鐓у搴斿叧绯�<i>f</i>锛�<i>x</i>锛�=3<i>x</i>-2鍒板疄鏁伴泦<b>R</b>锛堥泦鍚�<i>B</i>锛夌殑涓�涓嚱鏁帮紱浜屾鍑芥暟<i>y</i>=<i>x</i><sup>2</sup>+4<i>x</i>-3锛屽氨鏄粠瀹炴暟闆�<b>R</b>锛堥泦鍚�<i>A</i>锛夋寜鐓у搴斿叧绯�<i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>2</sup>+4<i>x</i>-3鍒板疄鏁伴泦{<i>y</i>|<i>y</i>鈮�-7}锛堥泦鍚�<i>B</i>锛夌殑涓�涓嚱鏁�.
+ </p>
+ <p>
+ 瀵逛簬鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夛紝褰撹嚜鍙橀噺鍦ㄥ畾涔夊煙鍐呭彇涓�涓‘瀹氱殑鍊�<i>a</i>鏃讹紝鐩稿簲鐨勫嚱鏁板�艰浣�<i>f</i>锛�<i>a</i>锛�.渚嬪锛屽嚱鏁�<i>y</i>=<i>f</i>锛�<i>x</i>锛�=3<i>x</i>锛屽綋<i>x</i>=3锛屽叾鍑芥暟鍊兼槸<i>f</i>锛�3锛�=3脳3=9.
+ </p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left"><img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" /></p>
+ </div>
+ <p class="block">
+ 鍑芥暟绗﹀彿<i>f</i>锛�<i>x</i>锛変腑鐨�<i>f</i>琛ㄧず鍑芥暟鍏崇郴锛屼笉鍚岀殑鍑芥暟涓紝<i>f</i>鐨勫惈涔変笉鍚岋紝鍑芥暟鐨勭鍙疯繕甯哥敤<i>g</i>锛�<i>x</i>锛夛紝<i>h</i>锛�<i>x</i>锛夛紝<i>蠁</i>锛�<i>x</i>锛夛紝<i>F</i>锛�<i>x</i>锛夌瓑琛ㄧず.鑷彉閲忛櫎鐢�<i>x</i>琛ㄧず澶栵紝涔熷父鐢�<i>t</i>锛�<i>u</i>锛�<i>v</i>绛夎〃绀�.
+ </p>
+ </div>
+ </div>
</div>
</div>
<!-- 071 -->
@@ -52,7 +123,39 @@
<p><span>071</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p><span
+ class="zt-ls"><b>渚�1</b></span>銆�鎴戝浗瑕佸缓璁剧幇浠ｅ寲浜т笟浣撶郴锛屾帹鍔ㄥ埗閫犱笟楂樼鍖栧彂灞�.鏉庡钩鍒朵綔浜�6涓満姊伴浂浠讹紝瀹冧滑鐨勭洿寰勫琛�3-2鎵�绀�.璇风敤鍑芥暟鐨勬蹇垫弿杩版潕骞冲埗浣滆繖鎵规満姊伴浂浠剁殑鐩村緞<i>y</i>锛�<i>mm</i>
+ 锛変笌闆朵欢鐨勬爣鍙�<i>x</i>鐨勫嚱鏁板叧绯�.</p>
+ <p class="img">琛�3-2</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0082-1.jpg" /></p>
+ <p><span class="zt-ls"><b>瑙�</b></span>
+ 璁�<i>x</i>琛ㄧず闆朵欢鐨勬爣鍙凤紝<i>y</i>琛ㄧず闆朵欢鐨勭洿寰勶紝鐢辫〃3-2锛寋1锛�2锛�3锛�4锛�5锛�6}涓殑浠讳竴鏁帮紝<i>y</i>閮芥湁浠讳竴纭畾鐨勫�间笌瀹冨搴旓紝鎵�浠ヨ〃3-2纭畾浜�<i>y</i>涓�<i>x</i>鐨勫嚱鏁板叧绯伙紝鍏跺畾涔夊煙涓簕1锛�2锛�3锛�4锛�5锛�6}锛屽�煎煙涓簕13.40锛�13.50锛�13.55锛�13.60锛�13.65锛�13.70}.
+ </p>
+ <p><span
+ class="zt-ls"><b>渚�2</b></span>銆�宸茬煡鍑芥暟<i>f</i>锛�<i>x</i>锛�=3<i>x</i><sup>2</sup>-1.褰撹嚜鍙橀噺<i>x</i>涓�-1锛�0锛�1锛�<i>a</i>鏃讹紝姹傚畠浠墍瀵瑰簲鐨勫嚱鏁板��.
+ </p>
+ <p><span class="zt-ls"><b>瑙�</b></span> <i>f</i>锛�-1锛�=3脳锛�-1锛�<sup>2</sup>-1=3-1=2锛�</p>
+ <p>銆� <i>f</i>锛�0锛�=3脳0<sup>2</sup>-1=0-1=-1锛�</p>
+ <p>銆� <i>f</i>锛�1锛�=3脳1<sup>2</sup>-1=3-1=2锛�</p>
+ <p>銆� <i>f</i>锛�<i>a</i>锛�=3脳<i>a</i><sup>2</sup>-1=3<i>a</i><sup>2</sup>-1.</p>
+ <div class="fieldset">
+ <p><b>鐩稿叧閾炬帴</b></p>
+ <p class="block">榄旀柟鏄敱6涓笉鍚岄鑹茬殑闈㈢粍鎴愮殑姝ｆ柟浣擄紝瀹冨彲缁勬垚绾�4 325浜夸嚎绉嶄笉鍚岄鑹茬殑缁勫悎锛屽叾鏈�浣冲鍘熼瓟鏂归鑹茬粍鍚堢殑鏂规硶鏄敤鏁板鏂规硶鐮旂┒鍑烘潵鐨�.</p>
+ </div>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0082-2.jpg" /></p>
+ <p class="img">鍥�3-2</p>
+ <p><span class="zt-ls"><b>渚�3</b></span>銆�濡傚浘3-2鎵�绀猴紝涓�涓竟闀挎槸<i>a</i>鐨勬鏂逛綋锛屼綋绉槸<i>V</i>锛屽啓鍑轰綋绉�<i>V</i> 闅忚竟闀�<i>a</i>
+ 鍙樺寲鐨勫嚱鏁板叧绯诲紡锛屽苟鎸囧嚭鍑芥暟鐨勮嚜鍙橀噺鍜屽畾涔夊煙.</p>
+ <p><span class="zt-ls"><b>瑙�</b></span> 浣撶Н<i>V</i> 闅忚竟闀�<i>a</i>鍙樺寲鐨勫嚱鏁板叧绯诲紡鏄�</p>
+ <p class="center"><i>V</i>=<i>a</i><sup>3</sup>锛�<i>a</i>锛�0锛�.</p>
+ <p>鍏朵腑<i>a</i>鏄嚜鍙橀噺锛屽畾涔夊煙涓簕<i>a</i>|<i>a</i>锛�0}.</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <examinations :cardList="questionData[78]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+ v-if="questionData" ></examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 072 -->
@@ -63,7 +166,47 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bj">
+ <p>锛�3锛� 鑻ュ嚱鏁�<i>f</i>锛�<i>x</i>锛�=2<i>x</i>-1锛屽垯<i>f</i>锛�<i>t</i>锛�=___锛�<i>f</i>锛�<i>f</i>锛�5锛夛級=____.</p>
+ <p>2.涓�鍒楀姩杞︿粠A鍩庝互姣忓皬鏃�200km鐨勯�熷害鍖�閫熺洿绾胯椹�4 h鍚庡埌杈綛鍩�.璇ュ姩杞﹀湪琛岄┒杩囩▼涓紝琛岄┒鐨勮矾绋嬫槸鏃堕棿鐨勫嚱鏁板悧锛熷鏋滄槸锛岃鍐欏嚭鍑芥暟鐨勫畾涔夊煙銆佸搴斿叧绯诲拰鍊煎煙锛涘鏋滀笉鏄紝璇疯鏄庣悊鐢�.</p>
+ </div>
+ <p>浠庝笂闈㈢殑瀛︿範鍙互鐭ラ亾锛屼竴涓嚱鏁板寘鍚畾涔夊煙銆佸搴斿叧绯诲拰鍊煎煙.鍑芥暟鐨勫�煎煙鏄敱鍑芥暟鐨勫畾涔夊煙鍜屽搴斿叧绯诲喅瀹氱殑.</p>
+ <p>閫氬父鍑芥暟鐨勫畾涔夊煙闅愬惈鍦ㄥ嚱鏁板叧绯讳腑.渚嬪锛屾垜浠笉鑳借绠楀綋<i>x</i>=0鏃�<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mi>x</mi>
+ </mfrac>
+ </math>鐨勫嚱鏁板��<i>f</i>锛�0锛夛紝鍥犱负<i>f</i>锛�0锛夋棤鎰忎箟锛屽洜姝わ紝瀹冪殑瀹氫箟鍩熸槸{<i>x</i>锝�<i>x</i>鈮�0}.鍦ㄥ疄闄呴棶棰樹腑锛屽嚱鏁扮殑瀹氫箟鍩熼�氬父鐢遍棶棰樼殑瀹為檯鑳屾櫙鎵�鍐冲畾.濡備緥3涓殑鍑芥暟<i>V</i>=<i>a</i><sup>3</sup>锛岀敱浜�<i>a</i>鏄鏂逛綋鐨勮竟闀匡紝鎵�浠ュ嚱鏁扮殑瀹氫箟鍩熶负<i>A</i>={<i>a</i>锝�<i>a</i>锛�0}.
+ </p>
+ <p><span
+ class="zt-ls"><b>渚�4</b></span>銆�灏变笟鏄渶鍩烘湰鐨勬皯鐢燂紝灏忓嚡閫氳繃鑷富鍒涘姙濂跺搧搴楀疄鐜拌亴涓氬彂灞�.涓轰績閿�鑷埗閰稿ザ锛屾瘡鐡堕吀濂剁殑浠锋牸鏄�3.5鍏冿紝姣忎綅椤惧鏈�澶氬彧鑳借喘涔�50鐡�.鍋囪鏌愪汉璐拱杩欑閰稿ザ<i>x</i>鐡讹紝搴斾粯娆�<i>y</i>鍏�.閭ｄ箞<i>y</i>锛堝厓锛夋槸<i>x</i>锛堢摱锛夌殑鍑芥暟鍚楋紵濡傛灉鏄紝璇峰啓鍑哄嚱鏁扮殑瀹氫箟鍩熴�佸搴斿叧绯诲拰鍊煎煙锛涘鏋滀笉鏄紝璇疯鏄庣悊鐢�.
+ </p>
+ <p><span class="zt-ls"><b>瑙�</b></span>
+ <i>x</i>鐨勫彇鍊艰寖鍥存槸鏁伴泦<i>A</i>={<i>x</i>|<i>x</i>鈮�50锛�<i>x</i>鈭�<b>N</b>}锛�<i>y</i>鐨勫彇鍊艰寖鍥存槸鏁伴泦<i>B</i>={<i>y</i>|<i>y</i>=3.5<i>x</i>锛�<i>x</i>鈮�50锛屼笖<i>x</i>鈭�<b>N</b>}.瀵逛簬闆嗗悎<i>A</i>涓殑浠讳竴涓暟<i>x</i>锛屾寜鐓у搴斿叧绯伙紝鍦ㄩ泦鍚�<i>B</i>涓兘鏈夊敮涓�纭畾鐨勫�间笌涔嬪搴旓紝鎵�浠ュ簲浠樻<i>y</i>鏄喘涔版暟閲�<i>x</i>鐨勫嚱鏁�.
+ </p>
+ <p>
+ 鍑芥暟鐨勫畾涔夊煙鏄瘂<i>x</i>|<i>x</i>鈮�50锛�<i>x</i>鈭�<b>N</b>}锛屽搴斿叧绯绘槸<i>y</i>=3.5<i>x</i>锛屽�煎煙鏄瘂<i>y</i>|<i>y</i>=3.5<i>x</i>锛�<i>x</i>鈮�50锛屼笖<i>x</i>鈭�<b>N</b>}.
+ </p>
+ <p>
+ 渚�4涓嚱鏁扮殑瀹氫箟鍩熶负浠�涔堟槸{<i>x</i>|<i>x</i>鈮�50锛�<i>x</i>鈭�<b>N</b>}锛岃�屼笉鏄瘂<i>x</i>|<i>x</i>鈭�<b>R</b>}锛熻繖鏄洜涓烘鍑芥暟鐨勫畾涔夊煙鑰冭檻浜嗗嚱鏁拌嚜鍙橀噺鍙栧�肩殑瀹㈣瀹為檯鑳屾櫙.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0083-2.jpg" /></p>
+ <p class="img">鍥�3-3</p>
+ <p><span
+ class="zt-ls"><b>渚�5</b></span>銆�濡傚浘3-3鎵�绀猴紝鍦ㄧ煩褰�<i>ABCD</i>涓紝<i>AB</i>鐨勯暱搴︽槸<i>x</i>锛坢锛夛紝<i>BC</i>鐨勯暱搴︽槸锛�12-<i>x</i>锛夛紙m锛夛紝鐭╁舰<i>ABCD</i>鐨勯潰绉槸<i>y</i>锛�<i>m</i><sup>2</sup>锛夛紝鍒�<i>y</i>涓�<i>x</i>鐨勫搴斿叧绯绘槸<i>y</i>=<i>x</i>锛�12-<i>x</i>锛夛紝姹傝鍑芥暟鐨勫畾涔夊煙.
+ </p>
+ <p class="block"><span
+ class="zt-ls2"><b>鍒嗘瀽</b></span>銆�鍥犱负<i>AB</i>鐨勯暱搴︿负<i>x</i>锛坢锛夛紝<i>BC</i>鐨勯暱搴︿负锛�12-<i>x</i>锛夛紙m锛夛紝鎵�浠ュ繀椤绘弧瓒�<i>x</i>锛�0涓�12-<i>x</i>锛�0鎵嶆湁瀹為檯鎰忎箟.
+ </p>
+ </div>
</div>
</div>
<!-- 073 -->
@@ -77,11 +220,192 @@
<p><span>073</span></p>
</li>
</ul>
-
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p><span class="zt-ls"><b>瑙�</b></span> 瑕佷娇鍑芥暟<i>y</i>=<i>x</i>锛�12-<i>x</i>锛夋湁瀹為檯鎰忎箟锛屽繀椤绘弧瓒�<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mn>12</mn>
+ <mo>鈭�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ </mtd>
+ <mtd></mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math>瑙ｅ緱0锛�<i>x</i>锛�12.鎵�浠ヨ繖涓嚱鏁扮殑瀹氫箟鍩熸槸{<i>x</i>|0锛�<i>x</i>锛�12}.</p>
+ <p><span class="zt-ls"><b>渚�6</b></span>銆�姹備笅鍒楀嚱鏁扮殑瀹氫箟鍩�.</p>
+ <p>锛�1锛� <math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mrow>
+ <mn>4</mn>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mn>7</mn>
+ </mrow>
+ </mfrac>
+ </math>锛涳紙2锛�<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <msqrt>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ </msqrt>
+ </math>锛�</p>
+ <p>锛�3锛� <math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <msqrt>
+ <mn>4</mn>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mn>8</mn>
+ </msqrt>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mrow>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ </mrow>
+ </mfrac>
+ </math>.</p>
+ <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛� 瑕佷娇璇ュ嚱鏁版湁鎰忎箟锛屽繀椤绘弧瓒�</p>
+ <p class="center">4<i>x</i>+7鈮�0锛�</p>
+ <p>瑙ｅ緱</p>
+ <math display="block">
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>7</mn>
+ <mn>4</mn>
+ </mfrac>
+ <mo>.</mo>
+ </math>
+ <p>鎵�浠ュ嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mi>x</mi>
+ <mrow>
+ <mo stretchy="false">|</mo>
+ </mrow>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>7</mn>
+ <mn>4</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">}</mo>
+ </mrow>
+ </math>.</p>
+ <p>锛�2锛� 瑕佷娇璇ュ嚱鏁版湁鎰忎箟锛屽繀椤绘弧瓒�</p>
+ <p class="center"><i>x</i>-3鈮�0锛�</p>
+ <p>瑙ｅ緱銆�<i>x</i>鈮�3.</p>
+ <p>鎵�浠ュ嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸{<i>x</i>|<i>x</i>鈮�3}.</p>
+ <p>锛�3锛� 瑕佷娇璇ュ嚱鏁版湁鎰忎箟锛屽繀椤绘弧瓒�</p>
+ <math display="block">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mn>4</mn>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mn>8</mn>
+ <mo>鈮�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mo>鈮�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math>
+ <p>瑙ｅ緱</p>
+ <math display="block">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mn>3.</mn>
+ </mtd>
+ <mtd></mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math>
+ <p>鎵�浠ュ嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸{<i>x</i>|<i>x</i>鈮�-2涓�<i>x</i>鈮�3}.</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj" >
+ <examinations :cardList="questionData[80]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
+ </div>
+ </div>
</div>
</div>
-
<!-- 074 -->
<div class="page-box" page="81">
<div v-if="showPageList.indexOf(81) > -1">
@@ -90,7 +414,13 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c026">涔犻3.1<span class="fontsz2">锛烇紴锛�</span></h3>
+ <div class="bj" >
+ <examinations :cardList="questionData[81]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 075 -->
@@ -104,7 +434,200 @@
<p><span>075</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bj">
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0086-1.jpg" /></p>
+ <p class="img">绗�2锛�2锛� 棰樺浘</p>
+ <p>3.瑙ｇ瓟棰�.</p>
+ <p>锛�1锛� 灏忔绗竴瀛ｅ害鍜岀浜屽搴︽瘡鏈堟墜鏈鸿垂鍏呭�煎琛�3-3鎵�绀猴紝璇风敤鍑芥暟鐨勬蹇垫弿杩板皬姊佹瘡鏈堟墜鏈鸿垂鍏呭�奸噾棰�<i>y</i>锛堝厓锛変笌鏈堜唤<i>x</i>鐨勫搴斿叧绯�.</p>
+ <p class="img">琛�3-3</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0086-2.jpg" /></p>
+ <p>锛�2锛� 姹備笅鍒楀嚱鏁扮殑瀹氫箟鍩�.</p>
+ <p>鈶�<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mfrac>
+ <mi>x</mi>
+ <mrow>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ </mrow>
+ </mfrac>
+ </math>锛�</p>
+ <p>鈶�<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <msqrt>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mn>3</mn>
+ </msqrt>
+ <mo>+</mo>
+ <msqrt>
+ <mn>2</mn>
+ <mo>鈭�</mo>
+ <mi>x</mi>
+ </msqrt>
+ </math>锛�</p>
+ <p>鈶�<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <msqrt>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>鈭�</mo>
+ <mn>5</mn>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mn>6</mn>
+ </msqrt>
+ </math>.</p>
+ <p><span class="bj-sp"><b>姘村钩浜�</b></span></p>
+ <p>1.濉┖棰�.</p>
+ <p>锛�1锛� 鑻ュ嚱鏁�<i>f</i>锛�<i>x</i>锛�=2<i>x</i>+<i>b</i>锛屼笖<i>f</i>锛�-1锛�=5锛屽垯<i>b</i>=____锛�</p>
+ <p>锛�2锛� 鑻ュ嚱鏁�<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mn>2</mn>
+ <mo>鈭�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math>锛屽垯<i>f</i>锛�-1锛�=____锛�<i>f</i>锛�<i>f</i>锛�-1锛夛級=</p>
+ <p>____锛�</p>
+ <p>锛�3锛� 鑻ュ嚱鏁�<i>f</i>锛�<i>t</i>-1锛�=4<i>t</i>+7锛屽垯<i>f</i>锛�2锛�=____.</p>
+ <p>2.姹備笅鍒楀嚱鏁扮殑瀹氫箟鍩�.</p>
+ <p>锛�1锛� <math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <msqrt>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>鈭�</mo>
+ <mn>16</mn>
+ </msqrt>
+ </math>锛�</p>
+ <p>锛�2锛� <math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <msqrt>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mi>x</mi>
+ </msqrt>
+ </mfrac>
+ </math>锛�</p>
+ <p>锛�3锛� <math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <msqrt>
+ <mn>5</mn>
+ <mo>鈭�</mo>
+ <mrow>
+ <mo stretchy="false">|</mo>
+ </mrow>
+ <mn>3</mn>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ <mo stretchy="false">|</mo>
+ </msqrt>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mrow>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ </mrow>
+ </mfrac>
+ </math>.</p>
+ </div>
+ </div>
</div>
</div>
<!-- 076 -->
@@ -116,10 +639,52 @@
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bj">
+ <p>3.宸茬煡鍑芥暟<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <msqrt>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>鈭�</mo>
+ <mn>4</mn>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mn>3</mn>
+ </msqrt>
+ </math>.</p>
+ <p>锛�1锛� 姹傚嚱鏁扮殑瀹氫箟鍩燂紱</p>
+ <p>锛�2锛� 姣旇緝<i>f</i>锛�5锛変笌<i>f</i>锛�3锛夌殑澶у皬锛�</p>
+ <p>锛�3锛� 姹傚嚱鏁扮殑鍊煎煙.</p>
+ </div>
+ <h2 id="b016">3.2 鍑芥暟鐨勮〃绀烘柟娉�<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span></h2>
+ <h3 id="c027">3.2.1 鍑芥暟鐨勮〃绀烘柟娉�<span class="fontsz2">锛烇紴锛�</span></h3>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>鎴戜滑鐭ラ亾锛屼笂涓�鑺傗�滆瀵熸�濊�冣�濅腑鐨�3涓儏澧冮兘娑夊強鍙橀噺涔嬮棿鐨勫嚱鏁板叧绯�.鎯呭1涓紝閿�鍞敹鍏�<i>y</i>锛堝厓锛変笌閿�鍞噺<i>x</i>锛坘g 锛夌殑鍑芥暟鍏崇郴鏄�<i>y</i>=6<i>x</i>锛�0鈮�<i>x</i>鈮�2
+ 000锛岃繖绉嶈〃绀哄嚱鏁板叧绯荤殑鏂规硶绉颁负瑙ｆ瀽娉曪紱鎯呭2涓紝鐢ㄨ〃鏍艰〃绀轰簡鍙戝皠鍗槦鐨勯鏁�<i>y</i>涓庡勾浠�<i>x</i>鐨勫嚱鏁板叧绯伙紝杩欑琛ㄧず鍑芥暟鍏崇郴鐨勬柟娉曠О涓哄垪琛ㄦ硶锛涙儏澧�3涓紝鐢ㄥ浘鍍忚〃绀轰簡姘旀俯<i>Q</i>涓庢椂闂�<i>t</i>鐨勫嚱鏁板叧绯伙紝杩欑琛ㄧず鍑芥暟鍏崇郴鐨勬柟娉曠О涓哄浘鍍忔硶.
+ </p>
+ <p><span class="zt-ls"><b>渚�1</b></span>銆�鏌愯締姹借溅浠�30 km/<i>h</i> 鐨勯�熷害鍖�閫熺洿绾胯椹讹紝鐢ㄨВ鏋愭硶琛ㄧず姹借溅琛岄┒鐨勮矾绋�<i>s</i>锛坘m
+ 锛変笌鏃堕棿<i>t</i>锛�<i>h</i>锛変箣闂寸殑瀵瑰簲鍏崇郴.</p>
+ <p><span class="zt-ls"><b>瑙�</b></span> 杩欎釜鍑芥暟鐨勫畾涔夊煙鏄瘂<i>t</i>|<i>t</i>鈮�0}.</p>
+ <p>鐢ㄨВ鏋愭硶鍙皢杩欎釜鍑芥暟琛ㄧず涓�<i>s</i>=30<i>t</i>锛�<i>t</i>鈮�0.</p>
+ <p>鐢ㄨВ鏋愭硶琛ㄧず鍑芥暟鍏崇郴锛岃兘澶熷噯纭�佸畬鏁村湴鍙嶆槧涓や釜鍙橀噺涔嬮棿鐨勫叧绯�.</p>
+ <p><span class="zt-ls"><b>渚�2</b></span>銆�杩戝勾鎴戝浗蹇�掍笟鍔￠噺杩呴�熷闀匡紝浠�2017骞磋嚦2021骞达紝姣忓勾鐨勫揩閫掍笟鍔￠噺鎯呭喌濡傝〃3-4鎵�绀猴紙娉細寮曡嚜鍥藉缁熻灞�鏁版嵁锛�.</p>
+ <p class="img">琛�3-4</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0087-2.jpg" /></p>
+ <p>琛�3-4娓呮櫚鍦板弽鏄犱簡骞翠唤涓庡綋骞村揩閫掍笟鍔￠噺锛堜嚎浠讹級涔嬮棿鐨勫搴斿叧绯�.鍦ㄥ疄闄呯敓娲讳腑锛岀敤鍒楄〃娉曡〃绀哄彉閲忎箣闂村搴斿叧绯荤殑渚嬪瓙杩樻湁寰堝.渚嬪锛岃褰曟煇浜烘瘡澶╃殑娑堣垂鎯呭喌銆佸崟浣嶈亴宸ョ殑姣忔湀钖祫鏀跺叆銆侀摱琛屼娇鐢ㄧ殑瀛樻鈥滃埄鎭〃鈥濈瓑.</p>
+ </div>
</div>
</div>
-
<!-- 077 -->
<div class="page-box" page="84">
<div v-if="showPageList.indexOf(84) > -1">
@@ -131,7 +696,38 @@
<p><span>077</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>瑙傚療涓婁竴鑺傗�滆瀵熸�濊�冣�濅腑鐨勬儏澧�3锛屾垜浠彂鐜扮敤鍥惧儚娉曡〃绀哄嚱鏁板叧绯绘椂鑳界洿瑙傚舰璞″湴琛ㄧず鍑哄嚱鏁扮殑灞�閮ㄥ彉鍖栬寰嬶紝杩涜�屽彲浠ラ娴嬪畠鐨勬暣浣撳彉鍖栬秼鍔�.浣嗘槸鎴戜滑骞朵笉鑳戒綔鍑烘墍鏈夊嚱鏁扮殑鍥惧儚.</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0088-1.jpg" /></p>
+ <p class="img">鍥�3-4</p>
+ <p><span
+ class="zt-ls"><b>渚�3</b></span>銆�浣跨敤鐜繚姣涘肪鏇夸唬涓�娆℃�х焊宸撅紝鏄�″浣庣⒊鐜繚鐢熸椿鐨勪竴绉嶆柟寮�.鏌愪究姘戣秴甯備績閿�鏌愮灏忔瘺宸撅紝姣忔潯鍞环4鍏冿紝姣忎汉闄愯喘5鏉�.鑻ラ【瀹㈣喘涔�<i>x</i>鏉″皬姣涘肪闇�瑕佷粯娆�<i>y</i>鍏冿紝璇曠敤鍥惧儚娉曡〃绀哄嚱鏁�<i>y</i>=<i>f</i>锛�<i>x</i>锛�.
+ </p>
+ <p><span class="zt-ls"><b>瑙�</b></span> 鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸{1锛�2锛�3锛�4锛�5}锛岀敤鍥惧儚娉曞彲灏嗚繖涓嚱鏁拌〃绀轰负鍥�3-4.</p>
+ <p>
+ 鍑芥暟鐨勫浘鍍忔棦鍙互鏄鏁ｇ殑鐐癸紝涔熷彲浠ユ槸绾挎銆佺洿绾裤�佹姌绾裤�佽繛缁殑鏇茬嚎绛�.鍦ㄥ垵涓紝鎴戜滑鐢ㄥ垪琛ㄣ�佹弿鐐广�佽繛绾跨殑鏂规硶鐢诲嚭浜嗘姣斾緥鍑芥暟銆佸弽姣斾緥鍑芥暟銆佷竴娆″嚱鏁板拰浜屾鍑芥暟鐨勫浘鍍�.鍥惧儚娉曚篃琚ぇ閲忕敤浜庡悇绫绘暟鎹粺璁′腑.渚嬪锛孏DP锛堝浗鍐呯敓浜ф�诲�硷級姣忓勾鐨勫闀挎儏鍐点�佸眳姘戞秷璐逛环鏍兼瘡瀛ｅ害鐨勫闀挎儏鍐点�佸叏鍥戒汉鍙ｆ暟閲忔瘡骞寸殑鍙樺寲鎯呭喌绛�.
+ </p>
+ <p><span class="zt-ls"><b>渚�4</b></span>銆�涓�鑹樺啗鑸颁笌鏌愭捣娓浉璺�135 n mile锛�1 n mile 鈮�1.852 km 锛夛紝濡傛灉鍐涜埌浠�45 n mile/h 鐨勯�熷害鍚戞捣娓墠琛岋紝鍒�3
+ h鍚庡彲鍒拌揪娴锋腐.鍋囪杩欒墭鍐涜埌鍑哄彂t锛坔锛夊悗锛屼笌娴锋腐鐨勮窛绂绘槸s锛坣 mile锛�.</p>
+ <p>锛�1锛� 鐢ㄨВ鏋愭硶琛ㄧず鍑芥暟<i>s</i>=<i>f</i>锛�<i>t</i>锛夛紱</p>
+ <p>锛�2锛� 鐢ㄥ浘鍍忔硶琛ㄧず鍑芥暟<i>s</i>=<i>f</i>锛�<i>t</i>锛�.</p>
+ <p class="block"><span
+ class="zt-ls2"><b>鍒嗘瀽</b></span>銆�璁＄畻璇ュ啗鑸颁粠鍑哄彂鍦伴┒鍏ユ捣娓墍闇�瑕佺殑鏃堕棿锛屽氨鍙緱鍒板嚱鏁�<i>s</i>=<i>f</i>锛�<i>t</i>锛夌殑瀹氫箟鍩�.鐢ㄨВ鏋愭硶琛ㄧず鍑芥暟鍚庯紝鍐嶇敾鍑哄嚱鏁扮殑鍥惧儚.
+ </p>
+ <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负璇ュ啗鑸颁粠鍑哄彂鍦伴┒鍏ユ捣娓渶瑕佺敤鏃�<math display="0">
+ <mfrac>
+ <mn>135</mn>
+ <mn>45</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mn>3</mn>
+ <mo>锛�</mo>
+ <mi>h</mi>
+ <mo>锛�</mo>
+ </math>锛屾墍浠ュ嚱鏁扮殑瀹氫箟鍩熶负{<i>t</i>|0鈮�<i>t</i>鈮�3}.</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0088-3.jpg" /></p>
+ <p class="img">鍥�3-5</p>
+ </div>
</div>
</div>
<!-- 078 -->
@@ -142,7 +738,23 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>鍙堝洜涓鸿鍐涜埌鍑哄彂<i>t</i>锛�<i>h</i>锛夊悗锛岃椹剁殑璺▼涓�45<i>t n mile</i> 锛岃繖鏃惰鍐涜埌涓庢捣娓殑璺濈涓猴紙135-45<i>t</i>锛� <i>n mile</i> .</p>
+ <p>鎵�浠ワ紝鐢ㄨВ鏋愭硶鍙皢鍑芥暟<i>s</i>=<i>f</i>锛�<i>t</i>锛夎〃绀轰负</p>
+ <p class="center"><i>s</i>=-45<i>t</i>+135锛�0鈮�<i>t</i>鈮�3.</p>
+ <p>锛�2锛� 鍑芥暟<i>s</i>=<i>f</i>锛�<i>t</i>锛夋槸涓�娆″嚱鏁帮紝鐢ㄥ浘鍍忔硶鍙皢鍑芥暟琛ㄧず涓哄浘3-5.</p>
+ <div class="bk-hzjl">
+ <div class="bj1-hzjl">
+ <p class="left"><img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" /></p>
+ </div>
+ <p class="block">鍒嗙粍鎺㈣锛屼緥2涓殑鍑芥暟鑳藉惁鐢ㄨВ鏋愭硶琛ㄧず锛熶緥3涓殑鍑芥暟鑳藉惁鐢ㄥ垪琛ㄦ硶鍜岃В鏋愭硶琛ㄧず锛熸瘮杈冨嚱鏁扮殑涓夌琛ㄧず鏂规硶锛屽畠浠悇鑷殑鐗圭偣鏄粈涔堬紵</p>
+ </div>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <examinations :cardList="questionData[85]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 079 -->
@@ -156,7 +768,183 @@
<p><span>079</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c028">3.2.2 鍒嗘鍑芥暟<span class="fontsz2">锛烇紴锛�</span></h3>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" /></p>
+ <p>鍩庡競杞ㄩ亾浜ら�氬嚭琛屼究鍒╋紝鎷夎繎浜嗕汉浠殑璺濈.鏌愬煄甯傚湴閾佺殑绁ㄤ环濡傝〃3-6鎵�绀�.1鍙风嚎鍦伴搧鍏ㄩ暱21 km .璁炬煇浣嶄箻瀹箻鍧愮殑鍦伴搧琛岄┒鐨勮矾绋嬩负<i>x</i>锛坘m
+ 锛夛紝绁ㄤ环鏄�<i>y</i>锛堝厓锛夛紝鍒�<i>y</i>鏄�<i>x</i>鐨勫嚱鏁帮紝浣犺兘鍐欏嚭杩欎釜鍑芥暟鐨勮В鏋愬紡鍚楋紵</p>
+ <p class="img">琛�3-6</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0090-1.jpg" /></p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 浠庤〃3-6鍙互鍙戠幇锛屽綋0锛�<i>x</i>鈮�6鏃讹紝<i>y</i>=2锛涘綋6锛�<i>x</i>鈮�11鏃讹紝<i>y</i>=3锛涘綋11锛�<i>x</i>鈮�16鏃讹紝<i>y</i>=4锛涘綋16锛�<i>x</i>鈮�21鏃讹紝<i>y</i>=5.璇ュ嚱鏁扮殑瑙ｆ瀽寮忓涓�.
+ </p>
+ <math display="block">
+ <mi>y</mi>
+ <mo>=</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mn>2</mn>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mn>6</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mn>3</mn>
+ <mo>锛�</mo>
+ <mn>6</mn>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mn>11</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mn>4</mn>
+ <mo>锛�</mo>
+ <mn>11</mn>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mn>16</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mn>5</mn>
+ <mo>锛�</mo>
+ <mn>16</mn>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mn>21</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left"><img class="img-gn1" alt="" src="../../assets/images/gn.jpg" /></p>
+ </div>
+ <p class="block">鍒嗘鍑芥暟</p>
+ </div>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0090-4.jpg" /></p>
+ <p class="img">鍥�3-6</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+ <p>鍍忎笂闈㈢殑鍑芥暟锛屽湪鑷彉閲忎笉鍚岀殑鍙栧�艰寖鍥村唴锛屾湁涓嶅悓鐨勫搴斿叧绯伙紝杩欐牱鐨勫嚱鏁板彨浣�<b>鍒嗘鍑芥暟</b>.</p>
+ <p>
+ 渚嬪锛屽嚱鏁�<i>y</i>=|<i>x</i>|鐨勫浘鍍忓鍥�3-6鎵�绀�.鏍规嵁缁濆鍊肩殑姒傚康锛屽綋<i>x</i>鈮�0鏃讹紝<i>y</i>=<i>x</i>锛涘綋<i>x</i>锛�0鏃讹紝<i>y</i>=-<i>x</i>.鎵�浠ヨ繖涓嚱鏁扮殑瑙ｆ瀽寮忎负
+ </p>
+ <math display="block">
+ <mi>y</mi>
+ <mo>=</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mo>鈭�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mn>0.</mn>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math>
+ <p>鐢熸椿涓湁寰堝鍙互鐢ㄥ垎娈靛嚱鏁版潵鎻忚堪鐨勫疄闄呴棶棰橈紝濡傚嚭绉熻溅璁¤垂锛屾瘡涓搴按銆佺數銆佺噧姘旂殑璁¤垂锛岀患鍚堟墍寰楃◣绾崇◣棰濈瓑.</p>
+ <p><span class="zt-ls"><b>渚�1</b></span>銆�宸茬煡鍑芥暟<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mn>2</mn>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mn>0.</mn>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math></p>
+ <p>锛�1锛� 姹�<i>f</i>锛�-5锛夛紝<i>f</i>锛�4锛夌殑鍊硷紱</p>
+ </div>
</div>
</div>
<!-- 080 -->
@@ -167,7 +955,100 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>锛�2锛� 姹�<i>f</i>锛�<i>f</i>锛�-1锛夛級鐨勫��.</p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left"><img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" /></p>
+ </div>
+ <p class="block">
+ 鍒嗘鍑芥暟鏄竴涓嚱鏁帮紝涓嶈兘鎶婂畠鐪嬫垚鍑犱釜鍑芥暟锛屽彧鏄湪鍚屼竴涓嚱鏁扮殑瀹氫箟鍩熷唴锛屼笉鍚岀殑鍙栧�艰寖鍥村唴瀵瑰簲涓嶅悓鐨勫嚱鏁板叧绯�.瀹冪殑瀹氫箟鍩熸槸鍚勪釜瑙ｆ瀽寮忕殑鑷彉閲忓彇鍊奸泦鍚堢殑骞堕泦锛屽�煎煙涔熸槸鍚勪釜瑙ｆ瀽寮忕殑鍑芥暟鍊奸泦鍚堢殑骞堕泦.瀹冪殑鍥惧儚涔熸瘮杈冪壒娈婏紝鏈夋椂鍥惧儚鏄笉杩炵画鐨�.
+ </p>
+ </div>
+ <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负-5锛�0锛屾墍浠�<i>f</i>锛�-5锛�=-5+2=-3.</p>
+ <p>鍥犱负4锛�0锛屾墍浠� <i>f</i>锛�4锛�=4<sup>2</sup>-3=13.</p>
+ <p>锛�2锛� 鍥犱负-1锛�0锛屾墍浠�<i>f</i>锛�-1锛�=-1+2=1.</p>
+ <p>鍙堝洜涓�1锛�0锛屾墍浠�<i>f</i>锛�<i>f</i>锛�-1锛夛級=<i>f</i>锛�1锛�=1<sup>2</sup>-3=-2.</p>
+ <p><span
+ class="zt-ls"><b>渚�2</b></span>銆�鎴戝浗鏄敤鐢甸噺鏈�澶х殑鍥藉锛屽浗瀹跺彂鍑鸿妭鑳藉噺鎺掔殑鍙峰彫锛岄紦鍔卞眳姘戣妭绾︾敤鐢碉紝2019骞村浗瀹跺灞呮皯姣忔湀鐢ㄧ數閲忚繘琛屽垝鍒嗭紝鐢典环鏂借鈥滃垎妗ｉ�掑鈥�.鏌愬煄甯傚眳姘戞瘡鏈堢敤鐢佃璐逛环鏍煎琛�3-7鎵�绀�.鍋囪杩欎釜鍩庡競鐨勬煇灞呮皯鏌愭湀鐢ㄧ數閲忔槸<i>x</i>锛坘W路h锛夛紝闇�鏀粯鐢佃垂<i>y</i>锛堝厓锛�.
+ </p>
+ <p class="img">琛�3-7 鏌愬煄甯傚眳姘戞瘡鏈堢敤鐢佃璐逛环鏍艰〃</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0091-1.jpg" /></p>
+ <p>锛�1锛� 鐢ㄨВ鏋愭硶琛ㄧず<i>y</i>涓�<i>x</i>鐨勫嚱鏁板叧绯伙紝骞剁敾鍑哄嚱鏁扮殑鍥惧儚.</p>
+ <p>锛�2锛� 濡傛灉鏉庢煇瀹�10鏈堢殑鐢ㄧ數閲忔槸180 kW路h 锛岄偅涔堜粬瀹跺簲璇ユ敮浠樼數璐瑰灏戯紵</p>
+ <p>锛�3锛� 濡傛灉鍛ㄦ煇瀹�12鏈堟敮浠樼數璐�294.26鍏冿紝閭ｄ箞浠栧杩欎釜鏈堢殑鐢ㄧ數閲忔槸澶氬皯锛�</p>
+ <p class="block"><span
+ class="zt-ls2"><b>鍒嗘瀽</b></span>銆�棣栧厛闇�鏄庣‘杩欎釜鍑芥暟鐨勫畾涔夊煙.鐢变簬灞呮皯鐢ㄧ數閲忎笉鍚岋紝鍏舵敹璐规爣鍑嗕篃涓嶅悓锛屾墍浠ヨ繖鏄垎娈靛嚱鏁�.鍏舵瑕佸帢娓呰嚜鍙橀噺<i>x</i>鍦ㄤ笉鍚岀殑鍙栧�艰寖鍥村唴涓庡洜鍙橀噺<i>y</i>涔嬮棿鐨勫搴斿叧绯伙紝骞跺垪鍑虹浉搴旂殑瑙ｆ瀽寮忔潵瑙ｅ喅鐩稿叧闂.
+ </p>
+ <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸{<i>x</i>|<i>x</i>鈮�0}.</p>
+ <p>褰�0鈮�<i>x</i>鈮�200鏃讹紝<i>y</i>涓�<i>x</i>鐨勫搴斿叧绯绘槸<i>y</i>=0.52<i>x</i>锛�</p>
+ <p>褰�200锛�<i>x</i>鈮�400鏃讹紝<i>y</i>涓�<i>x</i>鐨勫搴斿叧绯绘槸</p>
+ <p class="center"><i>y</i>=0.52脳200+0.57锛�<i>x</i>-200锛�=0.57<i>x</i>-10锛�</p>
+ <p>褰�<i>x</i>锛�400鏃讹紝<i>y</i>涓�<i>x</i>鐨勫搴斿叧绯绘槸</p>
+ <p><i>y</i>=0.52脳200+0.57脳200+0.82锛�<i>x</i>-400锛�=0.82<i>x</i>-110.</p>
+ <p>鐢ㄨВ鏋愭硶琛ㄧず<i>y</i>涓�<i>x</i>鐨勫嚱鏁板叧绯诲涓�.</p>
+ <math display="block">
+ <mi>y</mi>
+ <mo>=</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mn>0.52</mn>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ <mo>鈮�</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mn>200</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mn>0.57</mn>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mn>10</mn>
+ <mo>锛�</mo>
+ <mn>200</mn>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mn>400</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mn>0.82</mn>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mn>110</mn>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mn>400.</mn>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0092-1.jpg" /></p>
+ <p class="img">鍥�3-7</p>
+ </div>
</div>
</div>
<!-- 081 -->
@@ -181,10 +1062,249 @@
<p><span>081</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>杩欎釜鍑芥暟鐨勫浘鍍忓鍥�3-7鎵�绀�.</p>
+ <p>锛�2锛� 鍥犱负<i>x</i>=180锛�200锛�<i>y</i>=0.52脳180=93.60锛堝厓锛�.</p>
+ <p>鎵�浠ワ紝鏉庢煇瀹�10鏈堝簲璇ユ敮浠樼數璐�93.60鍏�.</p>
+ <p>锛�3锛� 鍛ㄦ煇瀹剁數璐规槸294.26鍏冿紝鐢卞浘3-7鍙及寰�<i>x</i>锛�400锛屽洜姝�</p>
+ <p class="center">0.82<i>x</i>-110=294.26锛�</p>
+ <p>瑙ｅ緱<i>x</i>=493.</p>
+ <p>鎵�浠ワ紝鍛ㄦ煇瀹�12鏈堢殑鐢ㄧ數閲忎负493 kW路h .</p>
+ <div class="bk-hzjl">
+ <div class="bj1-hzjl">
+ <p class="left"><img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" /></p>
+ </div>
+ <p class="block">渚濇硶绾崇◣鏄瘡涓叕姘戠殑涔夊姟.鏌ユ壘鍥藉寰佹敹涓汉鎵�寰楃◣绋庣巼琛紝 骞惰璁猴細濡傛灉涓�涓叕鍙稿唴涓や綅鍛樺伐涓�骞寸殑涓汉缁煎悎鎵�寰楅鍒嗗埆涓�12涓囧拰15涓囷紝閭ｄ箞杩欎袱浣嶅憳宸ユ墍缂寸撼鐨勪釜浜烘墍寰楃◣绋庨鍒嗗埆鏄灏戯紵
+ </p>
+ </div>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>1.濉┖棰�.</p>
+ <p>锛�1锛� 鑻ュ嚱鏁�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mn>1</mn>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ <mn>1</mn>
+ <mo>锛�</mo>
+ <mn>2</mn>
+ <mo data-mjx-texclass="CLOSE">}</mo>
+ </mrow>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mn>2</mn>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mn>3</mn>
+ <mo>锛�</mo>
+ <mn>4</mn>
+ <mo data-mjx-texclass="CLOSE">}</mo>
+ </mrow>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math>锛屽垯<i>f</i>锛�0锛�=____锛�<i>f</i>锛�3锛�=____锛�</p>
+ <p>锛�2锛� 鑻ュ嚱鏁�<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mn>3</mn>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <msqrt>
+ <mi>x</mi>
+ </msqrt>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math>____锛�</p>
+ <p><i>f</i>锛�4锛�=____锛�</p>
+ <p>锛�3锛� 鑻ュ嚱鏁�<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mn>3</mn>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mn>2020</mn>
+ <mo>锛�</mo>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mn>2</mn>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mn>2</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math>锛屽垯<i>f</i>锛�-1锛�=____锛�<i>f</i>锛�0锛�=____锛�<i>f</i>锛�3锛�=____锛�</p>
+ <p>锛�4锛� 鑻ュ嚱鏁�<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <mn>3</mn>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <msqrt>
+ <mn>2</mn>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mn>1</mn>
+ </msqrt>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math>____.</p>
+ <p>2.涓轰簡淇冮攢鏌愬搧鐗岀殑钖墖锛屾煇鐢靛晢骞冲彴鎷熼噰鍙栧涓嬩績閿�鏂瑰紡锛氭瘡琚嬭柉鐗囧師鏉ョ殑浠锋牸鏄�6鍏冿紝鑻ラ【瀹㈣喘涔�30琚嬪強浠ヤ笂锛屽垯姣忚鐨勪环鏍间负5鍏�.鍋囪鏌愰【瀹竴娆℃�ц喘涔拌繖绉嶈柉鐗�<i>x</i>琚嬶紝鐢靛晢骞冲彴鏀舵鏄�<i>y</i>鍏�.
+ </p>
+ <p>锛�1锛� 褰�<i>x</i>锛�30锛�<i>x</i>鈭�<b>N</b>鏃讹紝鍐欏嚭<i>y</i>涓�<i>x</i>鐨勫嚱鏁板叧绯诲紡锛�</p>
+ </div>
+ </div>
</div>
</div>
-
<!-- 082 -->
<div class="page-box" page="89">
<div v-if="showPageList.indexOf(89) > -1">
@@ -194,7 +1314,79 @@
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bj">
+ <p>锛�2锛� 鐢ㄨВ鏋愭硶琛ㄧず鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛�.</p>
+ <p>3.鏌愬競灞呮皯瀹跺涵鐕冩皵鏀惰垂閲囩敤鍒嗘璁¤垂鏂瑰紡锛屽琛�3-8鎵�绀�.</p>
+ <p>锛�1锛� 灏忛粍瀹�8鏈堜娇鐢ㄧ噧姘�46 m<sup>3</sup>锛屼粬瀹跺簲浠樼噧姘旇垂澶氬皯鍏冿紱</p>
+ <p>锛�2锛� 鐢ㄨВ鏋愭硶琛ㄧず姣忔埛灞呮皯瀹跺涵姣忔湀缂寸撼鐕冩皵璐�<i>y</i>锛堝厓锛変笌浣跨敤鐕冩皵閲�<i>x</i>锛�<i>m</i><sup>3</sup>锛夌殑鍑芥暟鍏崇郴锛屽苟鐢诲嚭鍑芥暟鐨勫浘鍍�.</p>
+ <p class="img">琛�3-8 鏌愬競灞呮皯瀹跺涵姣忔湀鐢ㄧ噧姘旇璐逛环鏍艰〃</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0093-1.jpg" /></p>
+ </div>
+ <h3 id="c029">涔犻3.2<span class="fontsz2">锛烇紴锛�</span></h3>
+ <div class="bj">
+ <p><span class="bj-sp"><b>姘村钩涓�</b></span></p>
+ <p>1.閫夋嫨棰�.</p>
+ <p>锛�1锛� 鏌愬晢鍦烘湁鏌愬搧鐗岀殑鐢靛姩杞�30杈嗗彲渚涘嚭鍞紝姣忚締鍞环2 000鍏冿紝閭ｄ箞璇ュ晢鍦哄嚭鍞數鍔ㄨ溅鐨勮惀涓氶<i>y</i>锛堝厓锛変笌鍑哄敭鐨勬暟閲�<i>x</i>涔嬮棿鐨勫嚱鏁板叧绯荤敤瑙ｆ瀽娉曡〃绀烘纭殑鏄紙銆�锛�.</p>
+ <p>A.<i>y</i>=2 000<i>x</i></p>
+ <p>B.<i>y</i>=2 000<i>x</i>锛�<i>x</i>鈮�30</p>
+ <p>C.<i>y</i>=2 000<i>x</i>锛�<i>x</i>鈮�30锛屼笖<i>x</i>鈭�<b>N</b></p>
+ <p>D.<i>y</i>=30<i>x</i></p>
+ <p>锛�2锛� 鑻ュ嚱鏁�<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mn>2</mn>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math>锛屽垯<i>f</i>锛�-1锛�+<i>f</i>锛�1锛�=锛堛��锛�.</p>
+ <p>A.0</p>
+ <p>B.2</p>
+ <p>C.3</p>
+ <p>D.4</p>
+ <p>2.甯傚満涓婃柊涓婂競鐨勮嫻鏋滀环鏍兼槸7.2鍏�/kg锛岀敤瑙ｆ瀽娉曡〃绀鸿喘涔拌嫻鏋滃簲浠樻<i>y</i>锛堝厓锛変笌璐拱璐ㄩ噺<i>x</i>锛坘g 锛夌殑鍑芥暟鍏崇郴.</p>
+ <p>3.鏌愬揩閫掑叕鍙稿湪<i>A</i>鍩庡唴鐨勮繍璐逛环鏍煎琛�3-9鎵�绀猴紝鐢�<i>x</i>锛坘g 锛夎〃绀虹墿鍝佺殑璐ㄩ噺锛�<i>y</i>锛堝厓锛夎〃绀哄揩閫掔墿鍝佺殑杩愯垂.</p>
+ </div>
+ </div>
</div>
</div>
<!-- 083 -->
@@ -208,10 +1400,95 @@
<p><span>083</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bj">
+ <p class="img">琛�3-9</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0094-1.jpg" /></p>
+ <p>锛�1锛� 鏌愰【瀹㈠湪<i>A</i>鍩庡唴蹇�掔墿鍝侊紝濡傛灉璐ㄩ噺鏄�2.5 kg锛岄偅涔堜粬搴斾粯蹇�掕垂澶氬皯鍏冿紵</p>
+ <p>锛�2锛� 鐢ㄨВ鏋愭硶琛ㄧず鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛�.</p>
+ <p>锛�3锛� 鐢诲嚭鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夌殑鍥惧儚.</p>
+ <p>4.鏌愬煄甯傚叕浜よ溅2鍙风嚎璺叡璁剧疆10绔欙紝涔樿溅鏀惰垂鏍囧噯涓猴細涔樺鑻ヤ箻鍧愪笉瓒呰繃6绔欏垯鏀惰垂2鍏冿紱鑻ヤ箻鍧愯秴杩�6 绔欏垯鏀惰垂4鍏�.鐢�<i>x</i>琛ㄧず涔樿溅鐨勭珯鏁帮紝<i>y</i>琛ㄧず鏀惰垂閲戦.</p>
+ <p>锛�1锛� 鐢ㄥ垪琛ㄦ硶琛ㄧず鍏氦杞︽敹璐�<i>y</i>涓庝箻杞︾殑绔欐暟<i>x</i>涔嬮棿鐨勫嚱鏁板叧绯伙紱</p>
+ <p>锛�2锛� 鐢ㄨВ鏋愭硶琛ㄧず鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夛紱</p>
+ <p>锛�3锛� 鐢诲嚭鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夌殑鍥惧儚.</p>
+ <p>5.鏌愬晢鎴蜂互姣忓崈鍏�30鍏冪殑浠锋牸璐叆100 kg
+ 鏌愮閲庣敓鑿岋紝骞舵妸閲庣敓鑿屾斁鍏ュ喎搴撲腑锛屼絾鏈�澶氬彧鑳藉瓨鏀�15澶�.鎹娴嬶紝杩欐壒閲庣敓鑿岀殑鍗曚环姣忓ぉ灏嗕笂娑�0.2鍏�.鍦ㄤ笉鑰冭檻鍏朵粬鍥犵礌鐨勬儏鍐典笅锛岃繖鎵归噹鐢熻弻鐨勫敭浠�<i>y</i>锛堝厓锛夋槸瀛樻斁澶╂暟<i>x</i>鐨勫嚱鏁�.</p>
+ <p>锛�1锛� 鍐欏嚭鍑芥暟鐨勫畾涔夊煙锛�</p>
+ <p>锛�2锛� 鐢ㄨВ鏋愭硶琛ㄧず<i>y</i>涓�<i>x</i>鐨勫嚱鏁板叧绯伙紱</p>
+ <p>锛�3锛� 璁句竴娆℃�у嚭鍞繖鎵归噹鐢熻弻鍙幏鍒�<i>P</i>鍏冿紝鐢ㄨВ鏋愭硶琛ㄧず<i>P</i>涓�<i>x</i>鐨勫嚱鏁板叧绯�.</p>
+ <p><span class="bj-sp"><b>姘村钩浜�</b></span></p>
+ <p>1.宸茬煡鍑芥暟<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mn>2</mn>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>锛�</mo>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mn>2</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mn>3</mn>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mn>2.</mn>
+ </mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ <mtd></mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math>.</p>
+ <p>锛�1锛� 姹�<i>f</i>锛�0锛�+<i>f</i>锛�4锛夌殑鍊硷紱</p>
+ <p>锛�2锛� 鑻�<i>f</i>锛�<i>x</i>锛�=3锛屾眰<i>x</i>鐨勫��.</p>
+ <p>2.鏌愬競鍑虹杞︾殑璁′环鏍囧噯锛氭寜鍑虹杞﹀疄闄呰椹惰矾绋嬭璐癸紝4 km鍙婁互涓嬫敹璐�10鍏冿紝瓒呰繃4 km鐨勯儴鍒嗘寜2鍏�/km璁¤垂.</p>
+ </div>
+ </div>
</div>
</div>
-
<!-- 084 -->
<div class="page-box" page="91">
<div v-if="showPageList.indexOf(91) > -1">
@@ -220,7 +1497,25 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bj">
+ <p>锛�1锛� 濡傛灉鏌愪汉鎼箻鍑虹杞﹁椹朵簡20 km锛岄偅涔堜粬闇�瑕佷粯璐瑰灏戝厓锛�</p>
+ <p>锛�2锛� 璇疯〃绀哄嚭绉熻溅鏀惰垂<i>y</i>锛堝厓锛変笌琛岄┒鐨勮矾绋�<i>x</i>锛坘m锛� 涔嬮棿鐨勫嚱鏁板叧绯伙紱</p>
+ <p>锛�3锛� 鐢诲嚭锛�2锛� 涓嚱鏁扮殑鍥惧儚.</p>
+ <p>3.涓洪紦鍔卞眳姘戣妭绾︾敤姘达紝鏌愯嚜鏉ユ按鍏徃鎸夎〃3-10鐨勬敹璐规爣鍑嗘敹鍙栨瘡鎴峰眳姘戝搴瘡鏈堟按璐�.</p>
+ <p class="img">琛�3-10</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0095-1.jpg" /></p>
+ <p>锛�1锛� 灏忔槑瀹�8鏈堢殑鐢ㄦ按閲忔槸13 <i>t</i>锛屽皬鐜嬪8鏈堢殑鐢ㄦ按閲忔槸16 <i>t</i>锛屽皬鏄庡鍜屽皬鐜嬪鍒嗗埆搴斾粯姘磋垂澶氬皯鍏冿紵</p>
+ <p>锛�2锛� 鍐欏嚭姣忔埛瀹跺涵灞呮皯姣忔湀浠樻按璐�<i>y</i>锛堝厓锛変笌鐢ㄦ按閲�<i>x</i>锛�<i>t</i>锛夌殑鍑芥暟鍏崇郴锛屽苟鐢诲嚭璇ュ嚱鏁扮殑鍥惧儚锛�</p>
+ <p>锛�3锛� 鑻ュ皬鏉庡9鏈堜粯姘磋垂66鍏冿紝鍒欎粬瀹惰繖涓湀鐨勭敤姘撮噺鏄灏戯紵</p>
+ </div>
+ <h2 id="b017">3.3 鍑芥暟鐨勫崟璋冩�у拰濂囧伓鎬�<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span></h2>
+ <h3 id="c030">3.3.1 鍑芥暟鐨勫崟璋冩��<span class="fontsz2">锛烇紴锛�</span></h3>
+ <p>鍑芥暟鏄弿杩颁簨鐗╄繍鍔ㄥ彉鍖栬寰嬬殑妯″瀷锛屾垜浠彲浠ラ�氳繃鐮旂┒鍑芥暟鐨勬�ц川鏉ユ妸鎻″瑙備笘鐣屼腑浜嬬墿鐨勫彉鍖栬寰�.</p>
+ <p>
+ 姣斿锛�1970骞�4鏈�24鏃ユ垜鍥藉彂灏勪簡绗竴棰椾汉閫犲崼鏄熲�滀笢鏂圭孩涓�鍙封��.2003骞�10鏈�15鏃�9锛�00锛屾垜鍥借嚜琛岀爺鍒剁殑鈥滅鑸熲�濅簲鍙疯浇浜洪鑸瑰湪閰掓硥鍗槦鍙戝皠涓績鎴愬姛鍙戝皠鍗囩┖锛屽巻鏃�9鏃�9鍒�50绉掑悗杩涘叆棰勫畾杞ㄩ亾锛岄鑸圭粫鍦扮悆椋炶14鍦堬紝缁忚繃21灏忔椂23鍒嗛挓鍚庯紝浜�16鏃�6锛�23杞界潃鑻遍泟鏉ㄥ埄浼熸垚鍔熺潃闄�.鍦ㄥ彂灏勮繃绋嬩腑锛岄殢鐫�鏃堕棿鐨勫彉鍖栵紝鈥滈暱寰佲�濊繍杞界伀绠琛岀殑楂樺害瓒婃潵瓒婇珮锛涒�滅鑸熲�濅簲鍙烽鑸圭潃闄嗚繃绋嬩腑锛岄殢鐫�鏃堕棿鐨勫彉鍖栵紝椋炶埞绂诲湴闈㈢殑楂樺害瓒婃潵瓒婁綆.鍙戝皠鍗囩┖鐨勮繍杞界伀绠紙鎴栫潃闄嗙殑杞戒汉椋炶埞锛夌鍦伴潰鐨勯珮搴︽槸椋炶鏃堕棿鐨勫嚱鏁�.绉戞妧宸ヤ綔鑰呯爺绌惰繖浜涘嚱鏁板悗锛屾墠鑳藉鎶婇鑸规寜璁″垝閫佸叆棰勫畾杞ㄩ亾鎴栫‘淇濋鑸瑰畨鍏ㄧ潃闄�.杩欐槸鎴戜滑璁よ瘑瀹㈣瑙勫緥鐨勯噸瑕佹柟娉曞拰閫斿緞.
+ </p>
+ </div>
</div>
</div>
<!-- 085 -->
@@ -234,7 +1529,37 @@
<p><span>085</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" /></p>
+ <p>
+ 鍦ㄥ垵涓紝鎴戜滑鏇剧粡鍒╃敤鍑芥暟鍥惧儚鎺㈢┒鍑芥暟鍊�<i>y</i>闅忕潃鑷彉閲�<i>x</i>鐨勫澶ц�屽澶э紙鎴栧噺灏忥級鐨勫彉鍖栬寰�.浠旂粏瑙傚療鍥�3-8鐨勫嚱鏁板浘鍍忥紝闅忕潃鑷彉閲�<i>x</i>鐨勫澶э紝鍑芥暟鍊�<i>y</i>鐨勫彉鍖栬秼鍔垮垎鍒槸鎬庢牱鐨勶紵
+ </p>
+ <p class="center"><img class="img-b" alt="" src="../../assets/images/0096-1.jpg" /></p>
+ <p class="img">鍥�3-8</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>瑙傚療鍥�3-8锛屽嚱鏁�<i>y</i>=<i>x</i>鍜�<i>y</i>=-<i>x</i>鐨勫畾涔夊煙鏄�<b>R</b>.褰撹嚜鍙橀噺<i>x</i>鐨勫�奸�愭笎澧炲ぇ鏃讹紝鍥�3-8锛�1锛�
+ 涓紝鍑芥暟鍥惧儚浠庡乏鍒板彸鏄笂鍗囩殑锛屽嚱鏁板��<i>y</i>闅忕潃鑷彉閲�<i>x</i>鐨勫澶ц�屽澶�.鍥�3-8锛�2锛� 涓紝鍑芥暟鍥惧儚浠庡乏鍒板彸鏄笅闄嶇殑锛屽嚱鏁板��<i>y</i>闅忕潃鑷彉閲�<i>x</i>鐨勫澶ц�屽噺灏�.鍥�3-8锛�3锛�
+ 涓紝鍑芥暟<i>y</i>=<i>x</i><sup>2</sup>鐨勫畾涔夊煙鏄�<b>R</b>.鍙互鐪嬪嚭锛屽湪锛�-鈭烇紝0锛夊唴锛屽嚱鏁板浘鍍忎粠宸﹀埌鍙虫槸涓嬮檷鐨勶紝鍑芥暟鍊�<i>y</i>闅忕潃鑷彉閲�<i>x</i>鐨勫澶ц�屽噺灏忥紱鍦紙0锛�+鈭烇級鍐咃紝鍑芥暟鍥惧儚浠庡乏鍒板彸鏄笂鍗囩殑锛屽嚱鏁板��<i>y</i>闅忕潃鑷彉閲�<i>x</i>鐨勫澶ц�屽澶�.
+ </p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left"><img class="img-gn1" alt="" src="../../assets/images/gn.jpg" /></p>
+ </div>
+ <p class="block">鍗曡皟鎬�</p>
+ <p class="block">澧炲嚱鏁�</p>
+ <p class="block">鍑忓嚱鏁�</p>
+ <p class="block">鍗曡皟鍖洪棿</p>
+ </div>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+ <p>鍍忎笂杩版儏褰紝鍦ㄦ煇涓尯闂村唴锛屽嚱鏁板�奸殢鑷彉閲忕殑澧炲ぇ鑰屽澶э紙鎴栧噺灏忥級鐨勬�ц川鍙綔鍑芥暟鐨�<b>鍗曡皟鎬�</b>.</p>
+ <p>涓�鑸湴锛岃鍑芥暟鐨勫畾涔夊煙涓�<i>D</i>锛屽尯闂�<i>A</i>鈯�<i>D</i>.</p>
+ <p>锛�1锛�
+ 濡傛灉瀵逛换鎰�<i>x</i><sub>1</sub>锛�<i>x</i><sub>2</sub>鈭�<i>A</i>锛屽綋<i>x</i>1锛�<i>x</i>2鏃讹紝閮芥湁<i>f</i>锛�<i>x</i><sub>1</sub>锛夛紲<i>f</i>锛�<i>x</i><sub>2</sub>锛夛紝閭ｄ箞灏辩О鍑芥暟<i>f</i>锛�<i>x</i>锛夊湪鍖洪棿<i>A</i>涓�<b>鍗曡皟閫掑</b>锛屽鍥�3-9鎵�绀�.鐗瑰埆鍦帮紝褰撳嚱鏁�<i>f</i>锛�<i>x</i>锛夊湪瀹冪殑瀹氫箟鍩熶笂鍗曡皟閫掑鏃讹紝鎴戜滑灏辩О瀹冩槸<b>澧炲嚱鏁�</b>.
+ </p>
+ <p>锛�2锛�
+ 濡傛灉瀵逛换鎰�<i>x</i><sub>1</sub>锛�<i>x</i><sub>2</sub>鈭�<i>A</i>锛屽綋<i>x</i><sub>1</sub>锛�<i>x</i><sub>2</sub>鏃讹紝閮芥湁<i>f</i>锛�<i>x</i><sub>1</sub>锛夛紴<i>f</i>锛�<i>x</i><sub>2</sub>锛夛紝閭ｄ箞灏辩О鍑芥暟<i>f</i>锛�<i>x</i>锛夊湪鍖洪棿<i>A</i>涓�<b>鍗曡皟閫掑噺</b>锛屽鍥�3-10鎵�绀�.鐗瑰埆鍦帮紝褰撳嚱鏁�<i>f</i>锛�<i>x</i>锛夊湪瀹冪殑瀹氫箟鍩熶笂鍗曡皟閫掑噺鏃讹紝鎴戜滑灏辩О瀹冩槸<b>鍑忓嚱鏁�</b>.
+ </p>
+ </div>
</div>
</div>
<!-- 086 -->
@@ -245,10 +1570,29 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ 濡傛灉鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夊湪鍖洪棿<i>A</i>涓婂崟璋冮�掑鎴栧崟璋冮�掑噺锛岄偅涔堝氨绉板嚱鏁�<i>y</i>=<i>f</i>锛�<i>x</i>锛夊湪鍖洪棿<i>A</i>涓婂叿鏈夛紙涓ユ牸鐨勶級鍗曡皟鎬э紝骞朵笖鍖洪棿<i>A</i>鍙綔鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夌殑<b>鍗曡皟鍖洪棿</b>.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0097-1.jpg" /></p>
+ <p class="img">鍥�3-9</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0097-2.jpg" /></p>
+ <p class="img">鍥�3-10</p>
+ <p>
+ 渚嬪锛屽浘3-8涓嚱鏁�<i>y</i>=<i>x</i>鏄�<b>R</b>涓婄殑澧炲嚱鏁帮紝鍖洪棿锛�-鈭烇紝+鈭烇級鏄嚱鏁�<i>y</i>=<i>x</i>鐨勫鍖洪棿锛涘嚱鏁�<i>y</i>=-<i>x</i>鏄�<b>R</b>涓婄殑鍑忓嚱鏁帮紝鍖洪棿锛�-鈭烇紝+鈭烇級鏄嚱鏁�<i>y</i>=-<i>x</i>鐨勫噺鍖洪棿锛涘嚱鏁�<i>y</i>=<i>x</i><sup>2</sup>鍦ㄥ尯闂达紙-鈭烇紝0锛変笂鏄噺鍑芥暟锛屽湪鍖洪棿锛�0锛�+鈭烇級涓婃槸澧炲嚱鏁帮紝鍖洪棿锛�-鈭烇紝0锛夊拰锛�0锛�+鈭烇級鍒嗗埆鏄嚱鏁�<i>y</i>=<i>x</i><sup>2</sup>鐨勫噺鍖洪棿銆佸鍖洪棿.
+ </p>
+ <p><span class="zt-ls"><b>渚�1</b></span>銆�鍥�3-11鏄嚱鏁�<i>y</i>=<i>f</i>锛�<i>x</i>锛夛紝<i>x</i>鈭堬蓟-1锛�8锛界殑鍥惧儚锛屾牴鎹浘鍍忓洖绛斾笅鍒楅棶棰�.</p>
+ <p>锛�1锛� 褰�<i>x</i>鍙栦綍鍊兼椂锛屽嚱鏁板�兼渶澶э紝鏈�澶у�兼槸澶氬皯锛熷綋<i>x</i>鍙栦綍鍊兼椂锛屽嚱鏁板�兼渶灏忥紝鏈�灏忓�兼槸澶氬皯锛�</p>
+ <p>锛�2锛� 璇存槑璇ュ嚱鏁扮殑鍗曡皟鍖洪棿鍙婂湪姣忎竴涓尯闂翠笂鐨勫崟璋冩��.</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0097-3.jpg" /></p>
+ <p class="img">鍥�3-11</p>
+ <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鐢卞浘鍙煡锛屽綋<i>x</i>=2鏃讹紝鍑芥暟鍊兼渶澶э紝鏈�澶у�兼槸3锛涘綋<i>x</i>=6鏃讹紝鍑芥暟鍊兼渶灏忥紝鏈�灏忓�兼槸-3.</p>
+ <p>锛�2锛�
+ 鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夌殑鍗曡皟鍖洪棿鏈夛蓟-1锛�2锛斤紝锛�2锛�6锛斤紝锛�6锛�8锛�.鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夊湪鍖洪棿锛�-1锛�2锛藉拰锛�6锛�8锛戒笂閮芥槸澧炲嚱鏁帮紝鍦ㄥ尯闂达蓟2锛�6锛戒笂鏄噺鍑芥暟.
+ </p>
+ </div>
</div>
</div>
-
<!-- 087 -->
<div class="page-box" page="94">
<div v-if="showPageList.indexOf(94) > -1">
@@ -260,7 +1604,171 @@
<p><span>087</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0098-1.jpg" /></p>
+ <p class="img">鍥�3-12</p>
+ <p><span class="zt-ls"><b>渚�2</b></span>銆�浜屾鍑芥暟<i>f</i>锛�<i>x</i>锛�=-<i>x</i><sup>2</sup>+2<i>x</i>+3鐨勫浘鍍忓鍥�3-12鎵�绀�.
+ </p>
+ <p>锛�1锛� 姹傚嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀵圭О杞存柟绋嬨�侀《鐐瑰潗鏍囷紱</p>
+ <p>锛�2锛� 鎵惧嚭鍑芥暟<i>f</i>锛�<i>x</i>锛夌殑鍗曡皟鍖洪棿锛�</p>
+ <p>锛�3锛� 褰�<i>x</i>鈭堬蓟2锛�5锛芥椂锛屾眰鍑芥暟<i>f</i>锛�<i>x</i>锛夌殑鏈�澶у�煎拰鏈�灏忓��.</p>
+ <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛� 浜屾鍑芥暟<i>y</i>=<i>ax</i><sup>2</sup>+<i>bx</i>+<i>c</i>鐨勫绉拌酱鏂圭▼鏄�<math
+ display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>b</mi>
+ <mrow>
+ <mn>2</mn>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ </math>锛岄《鐐瑰潗鏍囨槸<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>b</mi>
+ <mrow>
+ <mn>2</mn>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ <mo>锛�</mo>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>a</mi>
+ <mi>c</mi>
+ <mo>鈭�</mo>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </mrow>
+ <mrow>
+ <mn>4</mn>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛屽垯</p>
+ <math display="block">
+ <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>b</mi>
+ <mrow>
+ <mn>2</mn>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>2</mn>
+ <mrow>
+ <mn>2</mn>
+ <mo>脳</mo>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ <mo stretchy="false">)</mo>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mn>1锛�</mn>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>a</mi>
+ <mi>c</mi>
+ <mo>鈭�</mo>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </mrow>
+ <mrow>
+ <mn>4</mn>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mo>脳</mo>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ <mo stretchy="false">)</mo>
+ <mo>脳</mo>
+ <mn>3</mn>
+ <mo>鈭�</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </mrow>
+ <mrow>
+ <mn>4</mn>
+ <mo>脳</mo>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ <mo stretchy="false">)</mo>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mn>4</mn>
+ <mo>.</mo>
+ </mtd>
+ </mtr>
+ </mtable>
+ </math>
+ <p>鍥犳锛屽嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀵圭О杞存柟绋嬫槸<i>x</i>=1锛岄《鐐瑰潗鏍囨槸锛�1锛�4锛�.</p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left"><img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" /></p>
+ </div>
+ <p class="block">鍑芥暟鐨勫崟璋冩�ф槸瀵瑰畾涔夊煙鍐呮煇涓尯闂磋�岃█鐨�.涓�涓嚱鏁板湪鍏跺畾涔夊煙涓婁笉涓�瀹氬叿鏈夊崟璋冩�э紝浣嗘槸鍦ㄥ畾涔夊煙鍐呯殑瀛愬尯闂翠笂鍙兘鍏锋湁鍗曡皟鎬э紝杩欏氨鏄嚱鏁板崟璋冩�х殑灞�閮ㄦ�ц川.</p>
+ </div>
+ <p>锛�2锛� 鐢卞浘鍍忓彲鐭ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛夌殑澧炲尯闂存槸锛�-鈭烇紝1锛斤紝鍑忓尯闂存槸锛�1锛�+鈭烇級.</p>
+ <p>锛�3锛� 鍥犱负锛�2锛�5锛解珛锛�1锛�+鈭烇級锛屼笖鍑芥暟鍦ㄥ尯闂达蓟1锛�+鈭烇級涓婃槸鍑忓嚱鏁帮紝鎵�浠ュ綋<i>x</i>鈭堬蓟2锛�5锛芥椂锛�</p>
+ <p>鍑芥暟<i>f</i>锛�<i>x</i>锛夌殑鏈�澶у�兼槸<i>f</i>锛�2锛�=-2<sup>2</sup>+2脳2+3=3锛�</p>
+ <p>鍑芥暟<i>f</i>锛�<i>x</i>锛夌殑鏈�灏忓�兼槸<i>f</i>锛�5锛�=-5<sup>2</sup>+2脳5+3=-12.</p>
+ <p><span class="zt-ls"><b>渚�3</b></span>銆�鍒ゆ柇鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i>+1鍦紙-鈭烇紝+鈭烇級涓婄殑鍗曡皟鎬�.</p>
+ <p><span class="zt-ls"><b>瑙�</b></span>
+ 浠诲彇<i>x</i><sub>1</sub>锛�<i>x</i><sub>2</sub>鈭堬紙-鈭烇紝+鈭烇級锛屼笖<i>x</i><sub>1</sub>锛�<i>x</i><sub>2</sub>锛岄偅涔�</p>
+ <p class="center">
+ <i>f</i>锛�<i>x</i><sub>1</sub>锛�=<i>x</i><sub>1</sub>+1锛�<i>f</i>锛�<i>x</i><sub>2</sub>锛�=<i>x</i><sub>2</sub>+1锛�
+ </p>
+ <p>鍒�</p>
+ <p class="center">
+ <i>f</i>锛�<i>x</i><sub>1</sub>锛�-<i>f</i>锛�<i>x</i><sub>2</sub>锛�=<i>x</i><sub>1</sub>+1-<i>x</i><sub>2</sub>-1=<i>x</i><sub>1</sub>-<i>x</i><sub>2</sub>锛�0锛�
+ </p>
+ <p>
+ 鎵�浠�<i>f</i>锛�<i>x</i><sub>1</sub>锛夛紲<i>f</i>锛�<i>x</i><sub>2</sub>锛夛紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i>+1鍦紙-鈭烇紝+鈭烇級涓婃槸澧炲嚱鏁�.
+ </p>
+ <p>褰�<i>k</i>锛�0鏃讹紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>kx</i>+<i>b</i>鍦ㄥ尯闂达紙-鈭烇紝+鈭烇級涓婃槸澧炲嚱鏁帮紝濡傚浘3-13锛�1锛�
+ 鎵�绀猴紱褰�<i>k</i>锛�0鏃讹紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>kx</i>+<i>b</i>鍦ㄥ尯闂达紙-鈭烇紝+鈭烇級涓婃槸鍑忓嚱鏁帮紝濡傚浘3-13锛�2锛� 鎵�绀�.</p>
+ <p class="center"><img class="img-b" alt="" src="../../assets/images/0098-5.jpg" /></p>
+ <p class="img">鍥�3-13</p>
+ </div>
</div>
</div>
<!-- 088 -->
@@ -271,7 +1779,13 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <examinations :cardList="questionData[95]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+ v-if="questionData" ></examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 089 -->
@@ -285,10 +1799,53 @@
<p><span>089</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c031">
+ 3.3.2 鍑芥暟鐨勫鍋舵��<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/wttc.jpg" />
+ </p>
+ <p>
+ 鍑芥暟<i>f</i>锛�<i>x</i>锛�=|<i>x</i>|鍜�<i>g</i>锛�<i>x</i>锛�=<i>x</i><sup>2</sup>鐨勫浘鍍忕殑瀵圭О鎬у浣曪紵
+ </p>
+ <textarea cols="30" rows="4" v-model="chapterData.txtOne" placeholder="璇疯緭鍏ュ唴瀹�" class="w100 ta-br textarea-text"
+ @input="handleChapterData"></textarea>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/tjfx.jpg" />
+ </p>
+ <p>
+ 鍒楀嚭琛�3-11鍜岃〃3-12锛岀敾鍑哄嚱鏁�<i>f</i>锛�<i>x</i>锛�=|<i>x</i>|
+ 鍜�<i>g</i>锛�<i>x</i>锛�=<i>x</i><sup>2</sup>鐨勫浘鍍忥紝濡傚浘3-14锛�1锛�
+ 鍜岋紙2锛� 鎵�绀�.
+ </p>
+ <p class="img">琛�3-11</p>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0100-1.jpg" />
+ </p>
+ <p class="img">琛�3-12</p>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0100-2.jpg" />
+ </p>
+ <iframe src="https://www.geogebra.org/calculator" frameborder="0" class="iframe-box"></iframe>
+ <p class="center openImgBox">
+ <img class="img-b" alt="" src="../../assets/images/0100-3.jpg" />
+ </p>
+ <p class="img">鍥�3-14</p>
+ <p>
+ 瑙傚療鍥�3-14锛�1锛�
+ 鍙戠幇锛屽嚱鏁�<i>f</i>锛�<i>x</i>锛�=|<i>x</i>|鐨勫畾涔夊煙鏄紙-鈭烇紝+鈭烇級锛屽嚱鏁板浘鍍忓叧浜�<i>y</i>杞村绉�.浠庤〃3-11涓繕鍙戠幇锛屽綋鑷彉閲忓彇涓�瀵圭浉鍙嶆暟鏃讹紝瀵瑰簲鐨勫嚱鏁板�肩浉绛夛紝濡�<i>f</i>锛�-1锛�=<i>f</i>锛�1锛�=1锛�<i>f</i>锛�-2锛�=<i>f</i>锛�2锛�=2锛�<i>f</i>锛�-3锛�=<i>f</i>锛�3锛�=3锛屸�﹀疄闄呬笂锛屽浠绘剰<i>x</i>鈭堬紙-鈭烇紝+鈭烇級锛岄兘鏈�<i>f</i>锛�-<i>x</i>锛�=|-<i>x</i>|=|<i>x</i>|=<i>f</i>锛�<i>x</i>锛夛紝鍗�<i>f</i>锛�-<i>x</i>锛�=<i>f</i>锛�<i>x</i>锛�.
+ </p>
+ <p>
+ 鍥�3-14锛�2锛�
+ 涓紝鍑芥暟<i>g</i>锛�<i>x</i>锛�=<i>x</i><sup>2</sup>鐨勫畾涔夊煙鏄紙-鈭烇紝+鈭烇級锛屽嚱鏁板浘鍍忎篃鍏充簬<i>y</i>杞村绉�.琛�3-12涓紝褰撹嚜鍙橀噺鍙栦竴瀵圭浉鍙嶆暟鏃讹紝瀵瑰簲鐨勫嚱鏁板�肩浉绛夛紝濡�<i>g</i>锛�-1锛�=<i>g</i>锛�1锛�=1锛�<i>g</i>锛�-2锛�=<i>g</i>锛�2锛�=4锛�<i>g</i>锛�-3锛�=<i>g</i>锛�3锛�=9锛屸�﹀疄闄呬笂锛屽浠绘剰<i>x</i>鈭堬紙-鈭烇紝+鈭烇級锛岄兘鏈�<i>g</i>锛�-<i>x</i>锛�=锛�-<i>x</i>锛�<sup>2</sup>=<i>x</i><sup>2</sup>=<i>g</i>锛�<i>x</i>锛夛紝鍗�<i>g</i>锛�-<i>x</i>锛�=<i>g</i>锛�<i>x</i>锛�.
+ </p>
+ <p>
+ 杩欎袱涓嚱鏁扮殑鍥惧儚閮藉叧浜� <i>y</i> 杞村绉帮紱褰撹嚜鍙橀噺鍙栧畾涔夊煙涓换鎰忎竴瀵圭浉
+ </p>
+ </div>
</div>
</div>
-
<!-- 090 -->
<div class="page-box" page="97">
<div v-if="showPageList.indexOf(97) > -1">
@@ -297,7 +1854,66 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="t0">鍙嶆暟鏃讹紝瀵瑰簲鐨勫嚱鏁板�奸兘鐩哥瓑锛岃繖绉嶅嚱鏁板氨鏄伓鍑芥暟.</p>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
+ </p>
+ <p>
+ 涓�鑸湴锛岃鍑芥暟<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熶负<i>D</i>锛屽鏋滃浜�<span class="u">浠绘剰</span><i>x</i>鈭�<i>D</i>锛�<span
+ class="u">閮芥湁</span>-<i>x</i>鈭�<i>D</i>锛屼笖<i>f</i>锛�-<i>x</i>锛�=<i>f</i>锛�<i>x</i>锛夛紝閭ｄ箞鍑芥暟<i>f</i>锛�<i>x</i>锛夊氨鍙綔<b>鍋跺嚱鏁�</b>锛屽鍥�3-15鎵�绀�.<b>鍋跺嚱鏁扮殑鍥惧儚鍏充簬<i>y</i>杞村绉�</b>.
+ </p>
+ <p>
+ 鎴戜滑鍙互鐢卞嚱鏁扮殑鍥惧儚鏄惁鍏充簬<i>y</i>杞村绉版潵鍒ゆ柇鍑芥暟鏄笉鏄伓鍑芥暟.
+ </p>
+ <p class="center openImgBox">
+ <img class="img-c" alt="" src="../../assets/images/0101-1.jpg" style="width: 40%" />
+ </p>
+ <p class="img fl fl-cn ju-cn">
+ <span>鍥�3-15</span>
+ <el-tooltip class="item" effect="dark" :content="chapterData.isCollectImg ? '鐐瑰嚮鍙栨秷' : '鐐瑰嚮鏀惰棌'"
+ placement="top-start">
+ <img :src="collectResourceList.findIndex(item => item.id == '722FE833') > -1 ? collectCheck : collectImg"
+ alt="" class="collect-btn" @click="handleCollect('img')" />
+ </el-tooltip>
+ </p>
+ <video :src="videoPath" webkit-playsinline="true" x-webkit-airplay="true" playsinline="true"
+ x5-video-orientation="h5" x5-video-player-fullscreen="true" x5-playsinline="" controls
+ controlslist="nodownload" class="video-border w100"></video>
+ <p class="img fl fl-cn ju-cn">
+ <span>瑙嗛锛氬垽鏁板嚱鏁板鍋舵�х殑鏂规硶鍜屾楠� </span>
+ <el-tooltip class="item" effect="dark" :content="chapterData.isCollectVideo ? '鐐瑰嚮鍙栨秷' : '鐐瑰嚮鏀惰棌'"
+ placement="top-start">
+ <img
+ :src="collectResourceList.findIndex(item => item.id == 'a28cd862d61b5df2201406b76e9f01b0') > -1 ? collectCheck : collectImg"
+ alt="" class="collect-btn" @click="handleCollect('video')" />
+ </el-tooltip>
+ </p>
+ <p class="fl">
+ <span>
+ <span class="zt-ls"><b>渚�1</b></span>銆�鏍规嵁鍥�3-16涓嚱鏁扮殑鍥惧儚锛屽垽鏂摢浜涘嚱鏁版槸鍋跺嚱鏁�.
+ </span>
+ <span class="btn-box" @click="isShowExampleOne = !isShowExampleOne">
+ <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+ <path class="a"
+ d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+ transform="translate(-3327.144 15329)" />
+ </svg>
+ </span>
+ </p>
+ <p class="center openImgBox">
+ <img class="img-b" alt="" src="../../assets/images/0101-2.jpg" />
+ </p>
+ <p class="img">鍥�3-16</p>
+ <div v-if="isShowExampleOne">
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 鍦ㄥ洓涓嚱鏁板浘鍍忎腑锛屽浘3-16锛�1锛�
+ 鍜屽浘3-16锛�4锛� 鐨勫嚱鏁板浘鍍忓叧浜�<i>y</i>杞村绉帮紱鍥�3-16锛�2锛�
+ 鍜屽浘3-16锛�3锛�
+ 鐨勫嚱鏁板浘鍍忎笉鍏充簬<i>y</i>杞村绉�.鏍规嵁鍋跺嚱鏁扮殑鍥惧儚鍏锋湁鍏充簬<i>y</i>杞村绉扮殑鐗圭偣锛屽浘3-16锛�1锛夊拰鍥�3-16锛�4锛夌殑鍑芥暟鏄伓鍑芥暟锛屽浘3-16锛�2锛夊拰鍥�3-16锛�3锛夌殑鍑芥暟涓嶆槸鍋跺嚱鏁�.
+ </p>
+ </div>
+ </div>
</div>
</div>
<!-- 091 -->
@@ -311,7 +1927,193 @@
<p><span>091</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="fl">
+ <span>
+ <span class="zt-ls"><b>渚�2</b></span>
+ 銆�宸茬煡<i>f</i>锛�<i>x</i>锛�=|<i>x</i>|+1鍥惧儚鍦�<i>y</i>杞村彸杈圭殑閮ㄥ垎濡傚浘3-17鎵�绀�.璇曠敾鍑鸿繖涓嚱鏁板浘鍍忓湪<i>y</i>杞村乏杈圭殑閮ㄥ垎.
+ </span>
+ <span class="btn-box" @click="isShowExampleTwo = !isShowExampleTwo">
+ <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+ <path class="a"
+ d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+ transform="translate(-3327.144 15329)" />
+ </svg>
+ </span>
+ </p>
+ <p class="center openImgBox">
+ <img class="img-c" alt="" src="../../assets/images/0102-1.jpg" style="width: 40%" />
+ </p>
+ <p class="img">鍥�3-17</p>
+ <p v-if="isShowExampleTwo">
+ <span class="zt-ls"><b>瑙�</b></span>
+ 鍑芥暟<i>f</i>锛�<i>x</i>锛�=|<i>x</i>|+1鐨勫畾涔夊煙鏄紙-鈭烇紝+鈭烇級锛屽洜涓哄畠鏄伓鍑芥暟锛屾墍浠ユ牴鎹叾鍥惧儚鍏充簬<i>y</i>杞村绉扮殑鐗圭偣锛屽嵆鍙敾鍑鸿繖涓嚱鏁板湪<i>x</i>鈭堬紙-鈭烇紝0锛戒笂鐨勫浘鍍�.
+ </p>
+ <p>
+ 濡傚浘3-18鎵�绀猴紝鍦�<i>y</i>杞村彸杈圭殑鍥惧儚涓婂彇涓ょ偣<i>A</i>鍜�<i>B</i>锛屽垎鍒敾鍑哄畠浠叧浜�<i>y</i>杞村绉扮殑鐐�<i>A</i>鈥插拰<i>B</i>鈥诧紝鐒跺悗杩炵嚎<i>A</i>鈥�<i>B</i>鈥诧紝灏卞緱鍒拌繖涓嚱鏁扮殑鍥惧儚鍦�<i>y</i>杞村乏杈圭殑閮ㄥ垎.
+ </p>
+ <p class="center openImgBox">
+ <img class="img-c" alt="" src="../../assets/images/0102-2.jpg" style="width: 40%" />
+ </p>
+ <p class="img">鍥�3-18</p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" />
+ </p>
+ </div>
+ <p class="block">
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+ transform="translate(398 948)" />
+ </g>
+ </svg>
+ </span>
+ </li>
+ <li class="fl fl-cn">
+ <p>锛�3锛� <i>f</i>锛�<i>x</i>锛�=5<i>x</i>+2.</p>
+ <span class="btn-box" @click="isShowExampleFive = !isShowExampleFive">
+ <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
+ <path class="a"
+ d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
+ transform="translate(-3327.144 15329)" />
+ </svg>
+ </span>
+ <span class="btn-box" @click="openMathDiaolog">
+ <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" width="15.323"
+ height="15.939" viewBox="0 0 18.323 15.939">
+ <g transform="translate(-398 -946)">
+ <path class="a"
+ d="M11.985,1.241a.894.894,0,0,1-.242.623.79.79,0,0,1-.6.263.644.644,0,0,1-.547-.229,3.034,3.034,0,0,1-.339-.741A.935.935,0,0,0,10.1.846a.4.4,0,0,0-.291-.1.36.36,0,0,0-.333.18,1.836,1.836,0,0,0-.2.478L8.251,4.753H9.7l-.27.79H8.043l-1.51,4.849a27.9,27.9,0,0,1-1.06,2.93,5.5,5.5,0,0,1-1.316,1.857,3.11,3.11,0,0,1-2.189.755,2.258,2.258,0,0,1-1.455-.409A1.192,1.192,0,0,1,0,14.618a.97.97,0,0,1,.27-.693.894.894,0,0,1,.693-.291.741.741,0,0,1,.693.27,1.815,1.815,0,0,1,.2.693c0,.381.2.575.492.575a.817.817,0,0,0,.693-.478,6.983,6.983,0,0,0,.568-1.469L6,5.543H4.5l.236-.776h1.5l.159-.54a14.548,14.548,0,0,1,.693-2.016A4.544,4.544,0,0,1,8.313.694,2.91,2.91,0,0,1,10.281,0a2.425,2.425,0,0,1,.8.145,1.5,1.5,0,0,1,.693.429.963.963,0,0,1,.236.693Z"
+ transform="translate(398 948)" />
+ <path class="b"
+ d="M18.323,5.668a3.505,3.505,0,0,1-.152,1.046H17.36a3.969,3.969,0,0,0,.166-1.06.5.5,0,0,0-.062-.236.27.27,0,0,0-.249-.132.346.346,0,0,0-.229.076c-.069.055-.222.208-.471.471L14.936,7.489a22.329,22.329,0,0,0-1.552,1.621l-1.815,1.974a2.168,2.168,0,0,1-1.385.859c-.492,0-.741-.333-.741-.991a3.575,3.575,0,0,1,.3-1.385h.914a4.766,4.766,0,0,0-.263,1.1c0,.18.048.263.159.263s.242-.111.464-.333l2.147-2.286c-.006-.033,1.525-1.611,1.524-1.6l1.3-1.385a2.078,2.078,0,0,1,1.385-.8.755.755,0,0,1,.776.388,1.9,1.9,0,0,1,.173.776Z"
+ transform="translate(398 948)" />
+ <path class="a"
+ d="M14.936,7.489l.693,2.251a5.154,5.154,0,0,0,.236.61c.083.159.18.242.3.242a.82.82,0,0,0,.533-.457,4.849,4.849,0,0,0,.339-.817H17.8a4.849,4.849,0,0,1-.693,1.51,2.813,2.813,0,0,1-.873.852,1.766,1.766,0,0,1-.88.27,1.178,1.178,0,0,1-1.018-.464,4.357,4.357,0,0,1-.623-1.309l-.326-1.067a6.4,6.4,0,0,0-.222-.8L12.747,7c-.083-.27-.152-.478-.2-.6a1.136,1.136,0,0,0-.194-.312.4.4,0,0,0-.284-.118c-.326,0-.6.423-.817,1.261h-.769a6.671,6.671,0,0,1,.6-1.5,3.034,3.034,0,0,1,.81-.873,1.663,1.663,0,0,1,.942-.312,1.344,1.344,0,0,1,1.067.471,3.692,3.692,0,0,1,.644,1.268l.139.436C14.672,6.7,14.936,7.489,14.936,7.489Z"
+ transform="translate(398 948)" />
+ </g>
+ </svg>
+ </span>
+ </li>
+ </ul>
+ <div v-if="isShowExampleThree">
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+ 鍑芥暟<i>f</i>锛�<i>x</i>锛�=3<i>x</i><sup>2</sup>+1鐨勫畾涔夊煙鏄�<b>R</b>锛屽浠绘剰<i>x</i>鈭�<b>R</b>锛岄兘鏈�-<i>x</i>鈭�<b>R</b>锛�
+ </p>
+ <p>鑰�</p>
+ <p class="center">
+ <i>f</i>锛�-<i>x</i>锛�=3锛�-<i>x</i>锛�<sup>2</sup>+1=3<i>x</i><sup>2</sup>+1=<i>f</i>锛�<i>x</i>锛夛紝
+ </p>
+ <p>
+ 鎵�浠ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=3<i>x</i><sup>2</sup>+1鏄伓鍑芥暟.
+ </p>
+ </div>
+ <div v-if="isShowExampleFour">
+ <p>
+ 锛�2锛�
+ 鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>2</sup>+<i>x</i>鐨勫畾涔夊煙鏄�<b>R</b>锛屽浠绘剰<i>x</i>鈭�<b>R</b>锛岄兘鏈�-<i>x</i>鈭�<b>R</b>锛岃��
+ </p>
+ <p class="center">
+ <i>f</i>锛�-<i>x</i>锛�=锛�-<i>x</i>锛�<sup>2</sup>+锛�-<i>x</i>锛�=<i>x</i><sup>2</sup>-<i>x</i>鈮�<i>f</i>锛�<i>x</i>锛夛紝
+ </p>
+ <p>
+ 鎵�浠ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>2</sup>+<i>x</i>涓嶆槸鍋跺嚱鏁�.
+ </p>
+ </div>
+ <div v-if="isShowExampleFive">
+ <p>
+ 锛�3锛�
+ 鍑芥暟<i>f</i>锛�<i>x</i>锛�=5<i>x</i>+2鐨勫畾涔夊煙鏄�<b>R</b>锛屽浠绘剰<i>x</i>鈭�<b>R</b>锛岄兘鏈�-<i>x</i>鈭�<i>R</i>锛岃��
+ </p>
+ <p class="center">
+ <i>f</i>锛�-<i>x</i>锛�=5锛�-<i>x</i>锛�+2=-5<i>x</i>+2鈮�<i>f</i>锛�<i>x</i>锛夛紝
+ </p>
+ <p>鎵�浠ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=5<i>x</i>+2涓嶆槸鍋跺嚱鏁�.</p>
+ </div>
+ <div class="bk-hzjl">
+ <div class="bj1-hzjl">
+ <p class="left">
+ <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
+ </p>
+ </div>
+ <examinations :cardList="questionData[98]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 092 -->
@@ -322,7 +2124,25 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj" >
+ <examinations :cardList="questionData[99]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+ v-if="questionData" ></examinations>
+ <p class="gr-title">
+ 鍥涖�佸嚱鏁� f(x)=x鈥�-3 鐨勫浘鍍忓湪
+ 杞村乏杈圭殑閮ㄥ垎濡傚浘鎵�绀猴紝璇蜂綘鐢诲嚭杩欎釜鍑芥暟鍥惧儚鍦� y杞村彸杈圭殑閮ㄥ垎.
+ </p>
+ <div>
+ <paint
+ :page="99"
+ :imgUrl="
+ this.config.activeBook.resourceUrl + '/images/0103-2.jpg'
+ "
+ />
+ </div>
+ </div>
+ </div>
</div>
</div>
<!-- 093 -->
@@ -336,7 +2156,24 @@
<p><span>093</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /></p>
+ <p>鍑芥暟<i>f</i>锛�<i>x</i>锛�=2<i>x</i>鍜�<i>g</i>锛�<i>x</i>锛�=<i>x</i><sup>3</sup>鐨勫浘鍍忔湁浣曞绉版�у憿锛�</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/tjfx.jpg" /></p>
+ <p>鍒楀嚭琛�3-13鍜岃〃3-14锛岀敾鍑哄嚱鏁�<i>f</i>锛�<i>x</i>锛�=2<i>x</i>鍜�<i>g</i>锛�<i>x</i>锛�=<i>x</i><sup>3</sup>鐨勫浘鍍忥紝濡傚浘3-19鎵�绀�.</p>
+ <p class="img">琛�3-13</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0104-1.jpg" /></p>
+ <p class="img">琛�3-14</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0104-2.jpg" /></p>
+ <p class="center"><img class="img-b" alt="" src="../../assets/images/0104-3.jpg" /></p>
+ <p class="img">鍥�3-19</p>
+ <p>鍥�3-19锛�1锛�
+ 涓紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=2<i>x</i>鐨勫畾涔夊煙鏄紙-鈭烇紝+鈭烇級锛屽嚱鏁板浘鍍忓叧浜庡師鐐逛腑蹇冨绉�.琛�3-13涓紝褰撹嚜鍙橀噺鍙栦竴瀵圭浉鍙嶆暟鏃讹紝瀵瑰簲鐨勫嚱鏁板�兼槸涓�瀵圭浉鍙嶆暟锛屽<i>f</i>锛�-1锛�=-2=-<i>f</i>锛�1锛夛紝<i>f</i>锛�-2锛�=-4=-<i>f</i>锛�2锛夛紝<i>f</i>锛�-3锛�=-6=-<i>f</i>锛�3锛夛紝鈥﹀疄闄呬笂锛屽浠绘剰<i>x</i>鈭堬紙-鈭烇紝+鈭烇級锛岄兘鏈�<i>f</i>锛�-<i>x</i>锛�=2脳锛�-<i>x</i>锛�=-2<i>x</i>=-<i>f</i>锛�<i>x</i>锛夛紝鍗�<i>f</i>锛�-<i>x</i>锛�=-<i>f</i>锛�<i>x</i>锛�.
+ </p>
+ <p>鍥�3-19锛�2锛�
+ 涓紝鍑芥暟<i>g</i>锛�<i>x</i>锛�=<i>x</i><sup>3</sup>鐨勫畾涔夊煙鏄紙-鈭烇紝+鈭烇級锛屽嚱鏁板浘鍍忎篃鍏充簬鍘熺偣涓績瀵圭О.琛�3-14涓紝褰撹嚜鍙橀噺鍙栦竴瀵圭浉鍙嶆暟鏃讹紝瀵瑰簲鐨勫嚱鏁板�间篃鏄竴瀵圭浉鍙嶆暟锛屽
+ </p>
+ </div>
</div>
</div>
<!-- 094 -->
@@ -347,7 +2184,24 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="t0">
+ <i>g</i>锛�-1锛�=-1=-<i>g</i>锛�1锛夛紝<i>g</i>锛�-2锛�=-8=-<i>g</i>锛�2锛夛紝<i>g</i>锛�-3锛�=-27=-<i>g</i>锛�3锛夛紝鈥﹀疄闄呬笂锛屽浠绘剰<i>x</i>鈭堬紙-鈭烇紝+鈭烇級锛岄兘鏈�<i>g</i>锛�-<i>x</i>锛�=锛�-<i>x</i>锛�<sup>3</sup>=-<i>x</i><sup>3</sup>=-<i>g</i>锛�<i>x</i>锛夛紝鍗�<i>g</i>锛�-<i>x</i>锛�=-<i>g</i>锛�<i>x</i>锛�.
+ </p>
+ <p>杩欎袱涓嚱鏁扮殑鍥惧儚鍒嗗埆鍏充簬鍘熺偣涓績瀵圭О锛涘綋鑷彉閲忓彇瀹氫箟鍩熶腑浠绘剰涓�瀵圭浉鍙嶆暟鏃讹紝瀵瑰簲鐨勫嚱鏁板�间篃鏄竴瀵圭浉鍙嶆暟锛岃繖绉嶅嚱鏁板氨鏄鍑芥暟.</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+ <p>涓�鑸湴锛岃鍑芥暟<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熶负<i>D</i>锛屽鏋滃浜�<span class="u">浠绘剰</span><i>x</i>鈭�<i>D</i>锛�<span
+ class="u">閮芥湁</span>-<i>x</i>鈭�<i>D</i>锛屼笖<i>f</i>锛�-<i>x</i>锛�=-<i>f</i>锛�<i>x</i>锛夛紝閭ｄ箞鍑芥暟<i>f</i>锛�<i>x</i>锛夊氨鍙綔<b>濂囧嚱鏁�</b>锛屽鍥�3-20鎵�绀�.<b>濂囧嚱鏁扮殑鍥惧儚鍏充簬鍘熺偣涓績瀵圭О</b>.
+ </p>
+ <p>鎴戜滑涔熷彲浠ョ敱鍑芥暟鍥惧儚鏄惁鍏充簬鍘熺偣涓績瀵圭О鏉ュ垽鏂嚱鏁版槸涓嶆槸濂囧嚱鏁�.</p>
+ <p class="center"><img class="img-f" alt="" src="../../assets/images/0105-1.jpg" /></p>
+ <p class="img">鍥�3-20</p>
+ <p><span class="zt-ls"><b>渚�4</b></span>銆�鏍规嵁鍥�3-21涓嚱鏁扮殑鍥惧儚锛屽垽鏂摢浜涘嚱鏁版槸濂囧嚱鏁�.</p>
+ <p class="center"><img class="img-b" alt="" src="../../assets/images/0105-2.jpg" /></p>
+ <p class="img">鍥�3-21</p>
+ <p><span class="zt-ls"><b>瑙�</b></span> 鍦ㄥ洓涓嚱鏁板浘鍍忎腑锛屽浘3-21锛�1锛� 銆佸浘3-21锛�2锛� 鍜屽浘3-21锛�3锛� 鐨勫嚱鏁板浘鍍忓叧浜庡師鐐逛腑蹇冨绉帮紱鍥�3-21锛�4锛�
+ 鐨勫嚱鏁板浘鍍忎笉鏄叧浜庡師鐐逛腑蹇冨绉扮殑.鏍规嵁濂囧嚱鏁扮殑鍥惧儚鍏锋湁鍏充簬鍘熺偣涓績瀵圭О鐨勭壒鐐癸紝鍥�3-21锛�1锛� 銆佸浘3-21锛�2锛� 鍜屽浘3-21锛�3锛� 鐨勫嚱鏁版槸濂囧嚱鏁帮紝鍥�3-21锛�4锛� 鐨勫嚱鏁颁笉鏄鍑芥暟.</p>
+ </div>
</div>
</div>
<!-- 095 -->
@@ -361,10 +2215,128 @@
<p><span>095</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p><span class="zt-ls"><b>渚�5</b></span>銆�宸茬煡鍑芥暟<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mi>x</mi>
+ </mfrac>
+ </math>鍥惧儚鍦�<i>y</i>杞村彸杈圭殑閮ㄥ垎濡傚浘3-22鎵�绀�.璇曠敾鍑鸿繖涓嚱鏁板浘鍍忓湪<i>y</i>杞村乏杈圭殑閮ㄥ垎.</p>
+ <p><span class="zt-ls"><b>瑙�</b></span> 鍑芥暟<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mi>x</mi>
+ </mfrac>
+ </math>鐨勫畾涔夊煙鏄紙-鈭烇紝0锛夆埅锛�0+鈭烇級锛屽洜涓哄畠鏄鍑芥暟锛屾墍浠ユ牴鎹叾鍥惧儚鍏充簬鍘熺偣涓績瀵圭О鐨勭壒鐐癸紝鍗冲彲鐢诲嚭杩欎釜鍑芥暟鍦�<i>x</i>鈭堬紙-鈭烇紝0锛変笂鐨勫浘鍍�.</p>
+ <p>
+ 濡傚浘3-23鎵�绀猴紝鍦�<i>y</i>杞村彸杈圭殑鍥惧儚涓婂彇涓変釜涓嶅悓鐐�<i>A</i>锛�<i>B</i>鍜�<i>C</i>锛屽苟鐢诲嚭瀹冧滑鍒嗗埆鍏充簬鍘熺偣瀵圭О鐨勭偣<i>A</i>鈥诧紝<i>B</i>鈥插拰<i>C</i>鈥诧紝鐒跺悗鎸夌浉鍚屾柟寮忕敤鍏夋粦鐨勬洸绾胯繛绾匡紝灏卞緱鍒拌繖涓嚱鏁扮殑鍥惧儚鍦�<i>y</i>杞村乏杈圭殑閮ㄥ垎.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0106-3.jpg" /></p>
+ <p class="img">鍥�3-22</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0106-4.jpg" /></p>
+ <p class="img">鍥�3-23</p>
+ <p>涓庡伓鍑芥暟鐨勫垽瀹氭柟娉曠被浼硷紝闄や簡鍊熷姪鍑芥暟鐨勫浘鍍忔潵鍒ゆ柇鍑芥暟鏄笉鏄鍑芥暟锛屼篃鍙敤瀹氫箟鍒ゆ柇鍑芥暟鏄笉鏄鍑芥暟.</p>
+ <p><span class="zt-ls"><b>渚�6</b></span>銆�鍒ゆ柇涓嬪垪鍑芥暟鏄笉鏄鍑芥暟.</p>
+ <p>锛�1锛� <i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>3</sup>+<i>x</i>锛涳紙2锛� <math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mi>x</mi>
+ </mfrac>
+ </math>锛涳紙3锛� <i>f</i>锛�<i>x</i>锛�=<i>x</i>+|<i>x</i>|.</p>
+ <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+ 鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>3</sup>+<i>x</i>鐨勫畾涔夊煙鏄�<b>R</b>锛屽浠绘剰<i>x</i>鈭�<b>R</b>锛岄兘鏈�-<i>x</i>鈭�<b>R</b>锛屼笖
+ </p>
+ <p class="center">
+ <i>f</i>锛�-<i>x</i>锛�=锛�-<i>x</i>锛�<sup>3</sup>+锛�-<i>x</i>锛�=-<i>x</i><sup>3</sup>-<i>x</i>=-锛�<i>x</i><sup>3</sup>+<i>x</i>锛�=-<i>f</i>锛�<i>x</i>锛�.
+ </p>
+ <p>鎵�浠ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>3</sup>+<i>x</i>鏄鍑芥暟.</p>
+ <p>锛�2锛�
+ 瑕佷娇鍑芥暟<i>f</i>锛�<i>x</i>锛夋湁鎰忎箟锛屽繀椤绘弧瓒�<i>x</i>鈮�0锛屾墍浠ュ嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸<i>D</i>={<i>x</i>|<i>x</i>鈮�0}锛屽浠绘剰<i>x</i>鈭�<i>D</i>锛岄兘鏈�-<i>x</i>鈭�<i>D</i>锛屼笖
+ </p>
+ <math display="block">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ <mi>x</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mi>x</mi>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>.</mo>
+ </math>
+ <p>鎵�浠ワ紝鍑芥暟<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mi>x</mi>
+ </mfrac>
+ </math>鏄鍑芥暟.</p>
+ <p>锛�3锛� 鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i>+|<i>x</i>|鐨勫畾涔夊煙鏄�<b>R</b>锛屽浠绘剰<i>x</i>鈭�<b>R</b>锛岄兘鏈�-<i>x</i>鈭�<b>R</b>锛屼絾鏄�</p>
+ </div>
</div>
</div>
-
<!-- 096 -->
<div class="page-box" page="103">
<div v-if="showPageList.indexOf(103) > -1">
@@ -373,7 +2345,148 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="center">
+ <i>f</i>锛�-<i>x</i>锛�=锛�-<i>x</i>锛�+|-<i>x</i>|=-<i>x</i>+|<i>x</i>|=-锛�<i>x</i>-|<i>x</i>|锛夆墵-<i>f</i>锛�<i>x</i>锛�.
+ </p>
+ <p>鎵�浠ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i>+|<i>x</i>|涓嶆槸濂囧嚱鏁�.</p>
+ <p>濡傛灉涓�涓嚱鏁版槸濂囧嚱鏁版垨鍋跺嚱鏁帮紝閭ｄ箞灏辩О杩欎釜鍑芥暟鍏锋湁<b>濂囧伓鎬�</b>.鍚﹀垯锛屽嚱鏁颁笉鍏锋湁濂囧伓鎬�.</p>
+ <p><span class="zt-ls"><b>渚�7</b></span>銆�鍒ゆ柇涓嬪垪鍑芥暟鐨勫鍋舵��.</p>
+ <p>锛�1锛� <i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>4</sup>锛涳紙2锛� <math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mi>x</mi>
+ </mfrac>
+ </math>锛�</p>
+ <p>锛�3锛� <i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>2</sup>+<i>x</i>锛涳紙4锛�<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mrow>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ </mrow>
+ </mfrac>
+ </math>.</p>
+ <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+ <i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸<b>R</b>锛屽浠绘剰<i>x</i>鈭�<b>R</b>锛岄兘鏈�-<i>x</i>鈭�<b>R</b>锛屼笖
+ </p>
+ <p class="center"><i>f</i>锛�-<i>x</i>锛�=锛�-<i>x</i>锛�<sup>4</sup>=<i>x</i><sup>4</sup>=<i>f</i>锛�<i>x</i>锛夛紝</p>
+ <p>鎵�浠ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>4</sup>鏄伓鍑芥暟.</p>
+ <p>锛�2锛�
+ 瑕佷娇鍑芥暟<i>f</i>锛�<i>x</i>锛夋湁鎰忎箟锛屽繀椤绘弧瓒�<i>x</i>鈮�0锛屾墍浠ュ嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸<i>D</i>={<i>x</i>|<i>x</i>鈮�0}锛屽浠绘剰<i>x</i>鈭�<i>D</i>锛岄兘鏈�-<i>x</i>鈭�<i>D</i>锛�
+ 涓�</p>
+ <math display="block">
+ <mi>f</mi>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mi>x</mi>
+ <mo stretchy="false">)</mo>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ <mi>x</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mi>x</mi>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mi>x</mi>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>f</mi>
+ <mo stretchy="false">(</mo>
+ <mi>x</mi>
+ <mo stretchy="false">)</mo>
+ <mo>,</mo>
+ </math>
+ <p>鎵�浠ワ紝鍑芥暟<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mi>x</mi>
+ </mfrac>
+ </math>鏄鍑芥暟.</p>
+ <p>锛�3锛�
+ 鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>2</sup>+<i>x</i>鐨勫畾涔夊煙鏄�<b>R</b>锛屽浠绘剰<i>x</i>鈭�<b>R</b>锛岄兘鏈�-<i>x</i>鈭�<b>R</b>锛屼笖
+ </p>
+ <p class="center"><i>f</i>锛�-<i>x</i>锛�=锛�-<i>x</i>锛�<sup>2</sup>+锛�-<i>x</i>锛�=<i>x</i><sup>2</sup>-<i>x</i>锛�</p>
+ <p>浣嗐��<i>f</i>锛�-<i>x</i>锛夆墵<i>f</i>锛�<i>x</i>锛夛紝涓�<i>f</i>锛�-<i>x</i>锛夆墵-<i>f</i>锛�<i>x</i>锛夛紝</p>
+ <p>鎵�浠ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>2</sup>+<i>x</i>鏃笉鏄鍑芥暟锛屼篃涓嶆槸鍋跺嚱鏁�.</p>
+ <p>锛�4锛�
+ 瑕佷娇鍑芥暟<i>f</i>锛�<i>x</i>锛夋湁鎰忎箟锛屽繀椤绘弧瓒�<i>x</i>-1鈮�0锛屾墍浠ュ嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熸槸<i>D</i>={<i>x</i>|<i>x</i>鈮�1}锛屽浠绘剰<i>x</i>鈭�<i>D</i>锛屼笉閮芥湁-<i>x</i>鈭�<i>D</i>鎴愮珛.
+ </p>
+ <p>鎵�浠ワ紝鍑芥暟<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mrow>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ </mrow>
+ </mfrac>
+ </math>涓嶅叿鏈夊鍋舵�э紝瀹冩棦涓嶆槸濂囧嚱鏁颁篃涓嶆槸鍋跺嚱鏁�.</p>
+ <div class="bk-hzjl">
+ <div class="bj1-hzjl">
+ <p class="left"><img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" /></p>
+ </div>
+ <examinations :cardList="questionData[103]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 097 -->
@@ -387,19 +2500,18 @@
<p><span>097</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <examinations :cardList="questionData[104]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
+ </div>
+
+ </div>
</div>
</div>
<!-- 098 -->
- <div class="page-box" page="105">
- <div v-if="showPageList.indexOf(105) > -1">
- <ul class="page-header-odd fl al-end">
- <li>098</li>
- <li>鏁板.鍩虹妯″潡</li>
- <li>涓婂唽</li>
- </ul>
- <div class="padding-116"></div>
- </div>
+ <div class="page-box hidePage" page="105">
</div>
<!-- 099 -->
<div class="page-box" page="106">
@@ -409,10 +2521,21 @@
<p>绗笁鍗曞厓 鍑芥暟</p>
</li>
<li>
- <p><span>099</span></p>
+ <p><span>098-099</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c032">涔犻3.3<span class="fontsz2">锛烇紴锛�</span></h3>
+ <div class="bj" >
+ <examinations :cardList="questionData[105]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
+ </div>
+ <h2 id="b018">3.4 鍑芥暟鐨勫簲鐢�<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span></h2>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/tjfx.jpg" /></p>
+ <p>
+ 鍑芥暟鏄埢鐢诲彉閲忎箣闂村搴斿叧绯荤殑鏁板妯″瀷鍜屽伐鍏凤紝鍦ㄧぞ浼氱敓娲汇�佺敓浜т腑锛屽嚱鏁板叧绯婚殢澶勫彲瑙侊紝鍑芥暟鐨勫簲鐢ㄤ篃闈炲父骞挎硾.渚嬪锛岀墿浣撹繍鍔ㄧ殑璺▼鏄椂闂寸殑鍑芥暟锛岃喘涔扮墿鍝佽垂鐢ㄦ槸鐗╁搧鏁伴噺鐨勫嚱鏁帮紝鍦嗙殑闈㈢Н鏄崐寰勭殑鍑芥暟锛屽眳姘戠敓娲荤敤姘达紙鐢点�佺噧姘旓級璐圭敤鏄敤姘达紙鐢点�佺噧姘旓級閲忕殑鍑芥暟绛�.
+ </p>
+ </div>
</div>
</div>
<!-- 100 -->
@@ -423,7 +2546,103 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p><span class="zt-ls"><b>渚�1</b></span>銆�浣忓湪A鍩庣殑灏忔潕鏃╂櫒8锛�00鍑哄彂锛岄┚椹跺皬杞胯溅浠嶢鍩庝互80 km/h 鐨勯�熷害鍒�200 km澶勭殑B鍩庯紝浠栧湪B鍩庡仠鐣欎簡3 h 鍚庯紝鍐嶄互100
+ km/h鐨勯�熷害杩斿洖A鍩�.鍦ㄤ笉鑰冭檻鍫佃溅绛夊叾浠栧洜绱犵殑鎯呭喌涓嬶紝璁惧皬鏉庝粠A鍩庡嚭鍙�<i>x</i>锛坔锛夊悗锛屽皬鏉庝笌A鍩庣殑璺濈鏄�<i>y</i>锛坘m锛�.</p>
+ <p>锛�1锛� 鐢ㄨВ鏋愭硶琛ㄧず鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夛紱</p>
+ <p>锛�2锛� 鐢诲嚭鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夌殑鍥惧儚锛�</p>
+ <p>锛�3锛� 灏忔潕鍦ㄨ繑鍥濧鍩庨�斾腑锛�15锛�00鍒氬ソ鎺ュ埌瀹朵汉鐨勭數璇濓紝杩欐椂浠栬窛绂籄鍩庡灏戝崈绫筹紵</p>
+ <p class="block"><span
+ class="zt-ls2"><b>鍒嗘瀽</b></span>銆�棣栧厛姹傚嚭灏忔潕浠嶢鍩庡埌B鍩庡拰浠嶣鍩庤繑鍥濧鍩庡叡鑺辫垂鐨勬椂闂达紝鏄庣‘鍑芥暟鐨勫畾涔夊煙.灏忔潕鍘籅鍩庡拰杩斿洖A鍩庣殑杩囩▼涓紝<i>y</i>涓�<i>x</i>鍒嗗埆瀵瑰簲鐨勮В鏋愬紡涓嶇浉鍚岋紝鎵�浠ヨ鍑芥暟闇�鐢ㄥ垎娈靛嚱鏁拌〃绀�.
+ </p>
+ <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛� 灏忔潕浠嶢鍩庡嚭鍙戝埌B 鍩庣敤鏃�<math display="0">
+ <mfrac>
+ <mn>200</mn>
+ <mn>80</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mn>2.5</mn>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>h</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛�<i>x</i>鐨勫彇鍊艰寖鍥存槸{<i>x</i>|0锛�<i>x</i>鈮�2.5}锛�<i>y</i>涓�<i>x</i>鐨勫搴斿叧绯绘槸<i>y</i>=80<i>x</i>锛�</p>
+ <p>灏忔潕鍒癇鍩庡悗鍋滅暀3 h锛寈鐨勫彇鍊艰寖鍥存槸{<i>x</i>|2.5锛�<i>x</i>鈮�5.5}锛屽搴斿叧绯绘槸<i>y</i>=200锛�</p>
+ <p>灏忔潕浠�<i>B</i>鍩庤繑鍥�<i>A</i>鍩庣敤鏃�<math display="0">
+ <mfrac>
+ <mn>200</mn>
+ <mn>100</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mn>2</mn>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>h</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛�<i>x</i>鐨勫彇鍊艰寖鍥存槸{<i>x</i>|5.5锛�<i>x</i>鈮�7.5}锛�<i>y</i>涓�<i>x</i>鐨勫搴斿叧绯绘槸<i>y</i>=200-100锛�<i>x</i>-5.5锛夛紝鍗�<i>y</i>=-100<i>x</i>+750.
+ </p>
+ <p>鍥犳锛岀敤瑙ｆ瀽娉曞皢鍑芥暟<i>f</i>锛�<i>x</i>锛夎〃绀轰负<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnalign="left left" columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mn>80</mn>
+ <mi>x</mi>
+ <mo>,</mo>
+ </mtd>
+ <mtd>
+ <mn>0</mn>
+ <mo><</mo>
+ <mi>x</mi>
+ <mo>猢�</mo>
+ <mn>2.5</mn>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mn>200</mn>
+ <mo>,</mo>
+ </mtd>
+ <mtd>
+ <mn>2.5</mn>
+ <mo><</mo>
+ <mi>x</mi>
+ <mo>猢�</mo>
+ <mn>5.5</mn>
+ <mo>,</mo>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mo>鈭�</mo>
+ <mn>100</mn>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mn>750</mn>
+ <mo>,</mo>
+ <mn>5.5</mn>
+ <mo><</mo>
+ <mi>x</mi>
+ <mo>猢�</mo>
+ <mn>7.5</mn>
+ </mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math>.</p>
+ <p>锛�2锛� 鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夌殑鍥惧儚濡傚浘3-24鎵�绀�.</p>
+ <p class="center"><img class="img-f" alt="" src="../../assets/images/0111-4.jpg" /></p>
+ <p class="img">鍥�3-24</p>
+ <p>锛�3锛� 灏忔潕浠庢棭鏅�8锛�00鍑哄彂鍒�15锛�00锛屽叡缁忚繃浜�7h锛屾墍浠�<i>x</i>=7锛岀敱锛�1锛� 涓В鏋愬紡寰楀皬鏉庝笌<i>A</i>鍩庣殑璺濈涓�</p>
+ <p class="center">-100脳7+750=50锛坘m锛�.</p>
+ <p>鎵�浠ワ紝灏忔潕杩斿洖A鍩庨�斾腑鎺ュ埌瀹朵汉鐢佃瘽鏃讹紝璺濈A鍩庡垰濂�50 km.</p>
+ </div>
</div>
</div>
<!-- 101 -->
@@ -437,11 +2656,61 @@
<p><span>101</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p><span class="zt-ls"><b>渚�2</b></span>銆�鏌愬啘鎴疯鐢�6 000鍧楃爾寤洪�犱笁闂撮潰绉浉绛夌殑楗插吇瀹わ紝濡傚浘3-25鎵�绀猴紝鍏朵腑<i>AB</i>锛�<i>AD</i>涓ら潰闈犲锛屾瘡淇瓚闀垮害1
+ m鐨勬柊澧欓渶瑕佺爾200鍧�.褰�<i>AB</i>涓哄灏戠背鏃讹紝淇缓鐨勪笁闂撮ゲ鍏诲鐨勬�婚潰绉渶澶э紵鏈�澶ч潰绉槸澶氬皯锛�</p>
+ <p class="center"><img class="img-f" alt="" src="../../assets/images/0112-1.jpg" /></p>
+ <p class="img">鍥�3-25</p>
+ <p class="block"><span
+ class="zt-ls2"><b>鍒嗘瀽</b></span>銆�棣栧厛闇�瑕佽绠楀鐢ㄦ潗鏂欏彲淇缓楗插吇瀹ゆ柊澧欑殑鎬婚暱锛涘洜姣忛棿楗插吇瀹ょ殑鍛ㄩ暱鏄畾鍊硷紝鎵�浠ヨ<i>AB</i>鐨勯暱涓�<i>x</i>锛坢锛夛紝灏卞彲浠ョ敤鍚�<i>x</i>鐨勪唬鏁板紡琛ㄧず<i>BC</i>鐨勯暱锛涘啀鐢ㄨВ鏋愭硶琛ㄧず鎬婚潰绉�<i>y</i>锛坢<sup>2</sup>锛変笌<i>x</i>锛坢锛夌殑鍑芥暟鍏崇郴锛涚劧鍚庡埄鐢ㄥ嚱鏁扮殑鎬ц川鏉ヨВ鍐抽棶棰�.
+ </p>
+ <p><span class="zt-ls"><b>瑙�</b></span> 鍥犱负姣忎慨绛戦暱搴�1 m鐨勬柊澧欓渶瑕佺爾200鍧楋紝鎵�浠�6 000鍧楃爾鍙互淇瓚鏂板鐨勬�婚暱搴︽槸6
+ 000梅200=30锛坢锛�.璁�<i>AB</i>涓�<i>x</i>锛坢锛夛紝鍒�<i>BC</i>涓猴紙30-3<i>x</i>锛夛紙m锛夛紝涓夐棿楗插吇瀹ょ殑鎬婚潰绉负<i>y</i>锛坢<sup>2</sup>锛�.</p>
+ <p>浜庢槸<i>y</i>=锛�30-3<i>x</i>锛�<i>x</i>锛岃鏈夊疄闄呮剰涔夛紝蹇呴』婊¤冻<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mn>30</mn>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ </mtd>
+ <mtd></mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math>.</p>
+ <p>鎵�浠ワ紝<i>y</i>涓�<i>x</i>鐨勫嚱鏁板叧绯绘槸<i>y</i>=-3<i>x</i><sup>2</sup>+30<i>x</i>锛�0锛�<i>x</i>锛�10.</p>
+ <p>鏁寸悊寰�<i>y</i>=-3锛�<i>x</i>-5锛�<sup>2</sup>+75.</p>
+ <p>鎵�浠ワ紝褰�<i>x</i>=5鏃讹紝<i>y</i>鍊兼渶澶э紝鏈�澶у�间负75.</p>
+ <p>鍗冲綋<i>AB</i>涓�5 m鏃讹紝涓夐棿楗插吇瀹ょ殑鎬婚潰绉渶澶э紝鏈�澶ч潰绉槸75 m<sup>2</sup>.</p>
+ <p>鍦ㄥ疄闄呯敓娲讳腑锛屽緢澶氫笌浜屾鍑芥暟鏈夊叧鐨勬渶鍊奸棶棰橀兘鍙�氳繃鍒嗘瀽銆佺爺绌跺悗锛屽缓绔嬬浉搴斾簩娆″嚱鏁扮殑鏁板妯″瀷锛屽苟杩愮敤浜屾鍑芥暟鐨勫浘鍍忔�ц川姹傛渶鍊�.</p>
+ <p><span class="zt-ls"><b>渚�3</b></span>銆�鏌愭壒鍙戝晢璐叆涓�鎵�30鍏�/kg鐨勭豢鑹查鍝侊紝鑻ヤ互40鍏�/kg閿�鍞紝鍒欐瘡鏈堝彲鎵瑰彂閿�鍞�400
+ kg.鐢辨壒鍙戦攢鍞粡楠岀煡閬擄紝姣忔湀閿�鍞噺<i>y</i>锛坘g
+ 锛夋槸閿�鍞崟浠�<i>x</i>锛堝厓锛夌殑涓�娆″嚱鏁帮紝鍏跺浘鍍忓鍥�3-26鎵�绀�.</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0112-3.jpg" /></p>
+ <p class="img"> 鍥�3-26</p>
+ <p>锛�1锛� 鐢ㄨВ鏋愭硶琛ㄧず鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夛紱</p>
+ <p>锛�2锛� 璇ユ壒鍙戝晢涓嶄綆浜庤喘鍏ヤ环杩涜閿�鍞紝璁捐鎵瑰彂鍟嗘瘡鏈堥攢鍞繖鎵圭豢鑹查鍝佸彲鑾峰緱鍒╂鼎涓�<i>w</i>鍏冿紝鐢ㄨВ鏋愭硶琛ㄧず鍑芥暟<i>w</i>=<i>g</i>锛�<i>x</i>锛夛紱</p>
+ <p>锛�3锛� 褰撻攢鍞崟浠蜂负澶氬皯鏃讹紝璇ユ壒鍙戝晢姣忔湀鍙幏寰楁渶澶у埄娑︼紵鏈�澶у埄娑︽槸澶氬皯锛�</p>
+ </div>
</div>
</div>
<!-- 102 -->
-
<div class="page-box" page="109">
<div v-if="showPageList.indexOf(109) > -1">
<ul class="page-header-odd fl al-end">
@@ -449,7 +2718,82 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="block"><span
+ class="zt-ls2"><b>鍒嗘瀽</b></span>銆�鍏堢敱鍥惧儚姹傚嚭涓�娆″嚱鏁扮殑瑙ｆ瀽寮忥紝鍐嶆牴鎹瘡鏈堟墍鑾峰埄娑�=锛堥攢鍞崟浠�-杩涗环锛壝楁瘡鏈堥攢鍞噺锛屽垪鍑烘瘡鏈堟墍鑾峰埄娑�<i>w</i>涓庨攢鍞崟浠�<i>x</i>鐨勫嚱鏁板叧绯�.
+ </p>
+ <p><span class="zt-ls"><b>瑙�</b></span>锛�1锛� 璁惧嚱鏁�<i>y</i>=<i>f</i>锛�<i>x</i>锛夌殑瑙ｆ瀽寮忔槸<i>y</i>=<i>kx</i>+<i>b</i>锛屽垯</p>
+ <p><math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mn>40</mn>
+ <mi>k</mi>
+ <mo>+</mo>
+ <mi>b</mi>
+ <mo>=</mo>
+ <mn>400</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mn>50</mn>
+ <mi>k</mi>
+ <mo>+</mo>
+ <mi>b</mi>
+ <mo>=</mo>
+ <mn>200</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math>锛岃В寰�<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mi>k</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mn>20</mn>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd></mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mi>b</mi>
+ <mo>=</mo>
+ <mn>1200.</mn>
+ </mtd>
+ <mtd></mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math></p>
+ <p>鍗�<i>y</i>=-20<i>x</i>+1 200.</p>
+ <p>鏍规嵁棰樻剰锛屽綋30鈮�<i>x</i>鈮�60鏃讹紝鍑芥暟<i>y</i>=-20<i>x</i>+1 200鎵嶆湁瀹為檯鎰忎箟.</p>
+ <p>鎵�浠ワ紝鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛夌殑瑙ｆ瀽寮忓彲琛ㄧず涓�</p>
+ <p class="center"><i>y</i>=-20<i>x</i>+1 200锛�30鈮�<i>x</i>鈮�60.</p>
+ <p>锛�2锛� 鐢遍鎰忓緱锛�<i>w</i>=锛�<i>x</i>-30锛�<i>y</i></p>
+ <p>銆�銆�銆�銆�銆�銆�銆�銆�=锛�<i>x</i>-30锛夛紙-20<i>x</i>+1 200锛�</p>
+ <p>銆�銆�銆�銆�銆�銆�銆�銆�=-20<i>x</i><sup>2</sup>+1 800<i>x</i>-36 000锛�</p>
+ <p>鎵�浠ワ紝鍑芥暟<i>w</i>=<i>g</i>锛�<i>x</i>锛夌殑瑙ｆ瀽寮忓彲琛ㄧず涓�</p>
+ <p class="center"><i>w</i>=-20<i>x</i><sup>2</sup>+1 800<i>x</i>-36 000锛�30鈮�<i>x</i>鈮�60.</p>
+ <p>锛�3锛� 鐢憋紙2锛� 鐭ワ紝<i>w</i>=-20<i>x</i><sup>2</sup>+1 800<i>x</i>-36 000锛�30鈮�<i>x</i>鈮�60锛岄厤鏂瑰緱</p>
+ <p class="center"><i>w</i>=-20锛�<i>x</i>-45锛�<sup>2</sup>+4 500.</p>
+ <p>鎵�浠ワ紝褰�<i>x</i>=45鏃讹紝<i>w</i>鐨勫�兼渶澶э紝鏈�澶у�兼槸4 500.</p>
+ <p>绛旓細褰撻攢鍞崟浠蜂负45鍏冩椂锛岃鎵瑰彂鍟嗘瘡鏈堝彲鑾峰緱鏈�澶у埄娑︼紝鏈�澶у埄娑︽槸4 500鍏�.</p>
+ </div>
</div>
</div>
<!-- 103 -->
@@ -463,47 +2807,38 @@
<p><span>103</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <examinations :cardList="questionData[110]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 104 -->
<div class="page-box" page="111">
<div v-if="showPageList.indexOf(111) > -1">
<ul class="page-header-odd fl al-end">
- <li>104</li>
+ <li>104-106</li>
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
-
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c033">涔犻3.4<span class="fontsz2">锛烇紴锛�</span></h3>
+ <div class="bj">
+ <examinations :cardList="questionData[111]" :hideCollect="true" sourceType="json" inputBc="#d3edfa"
+ v-if="questionData" ></examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 105 -->
- <div class="page-box" page="112">
- <div v-if="showPageList.indexOf(112) > -1">
- <ul class="page-header-box">
- <li>
- <p>绗笁鍗曞厓 鍑芥暟</p>
- </li>
- <li>
- <p><span>105</span></p>
- </li>
- </ul>
- <div class="padding-116"></div>
- </div>
+ <div class="page-box hidePage" page="112">
</div>
<!-- 106 -->
- <div class="page-box" page="113">
- <div v-if="showPageList.indexOf(113) > -1">
- <ul class="page-header-odd fl al-end">
- <li>106</li>
- <li>鏁板.鍩虹妯″潡</li>
- <li>涓婂唽</li>
- </ul>
-
- <div class="padding-116"></div>
- </div>
+ <div class="page-box hidePage" page="113">
</div>
<!-- 107 -->
<div class="page-box" page="114">
@@ -516,10 +2851,28 @@
<p><span>107</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h2 id="b019">鏁板鍥湴<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span></h2>
+ <p class="center">鍑芥暟姒傚康鍙婄鍙风殑褰㈡垚涓庡彂灞�</p>
+ <p>鎴戜滑宸茬粡绯荤粺瀛︿範浜嗗嚱鏁扮殑姒傚康銆佽〃绀烘柟娉曘�佹�ц川绛夛紝鐜板湪鎴戜滑涓�璧锋潵浜嗚В鍑芥暟姒傚康鐨勫舰鎴愪笌鍙戝睍杩囩▼.</p>
+ <p>17涓栫邯锛屾剰澶у埄绉戝瀹朵冀鍒╃暐鍦ㄣ�婂叧浜庝袱闂ㄦ柊绉戝鐨勫璇濄�嬩竴涔︿腑锛屾彁鍑轰簡鍑芥暟鎴栧彉閲忓叧绯荤殑姒傚康锛屽�熷姪鏂囧瓧鍜屾瘮渚嬪叧绯昏〃杈惧嚱鏁扮殑鍏崇郴.娉曞浗鏁板瀹剁瑳鍗″効鍦ㄤ粬鐨勮В鏋愬嚑浣曚腑娉ㄦ剰鍒颁簡涓�涓彉閲忓浜庡彟涓�涓彉閲忕殑渚濊禆鍏崇郴.</p>
+ <p>1673骞达紝寰峰浗鏁板瀹惰幈甯冨凹鑼ㄩ娆′娇鐢ㄢ�滃嚱鏁扳�濊〃绀衡�滃箓鈥濓紝鍚屾椂鐗涢】鍦ㄥ井绉垎鐨勮璁轰腑锛屼娇鐢ㄢ�滄祦閲忊�濇潵琛ㄧず鍙橀噺闂寸殑鍏崇郴锛岃繖鏃剁殑鍑芥暟姒傚康杩樿緝涓烘ā绯�.</p>
+ <p>
+ 1718骞达紝鐟炲＋鏁板瀹朵集鍔埄鍦ㄨ幈甯冨凹鑼ㄥ嚱鏁版蹇电殑鍩虹涓婏紝浠庤В鏋愮殑瑙掑害鎻愬嚭浜嗗嚱鏁扮殑姒傚康锛氣�滅敱鍙橀噺<i>x</i>鍜屽父鏁版墍鏋勬垚鐨勫紡瀛愬彨浣�<i>x</i>鐨勫嚱鏁扳�濓紝璁颁綔<i>围</i>鎴栁撅紝鍚庢潵浠栧張鏀圭敤<i>桅x</i>琛ㄧず<i>x</i>鐨勫嚱鏁�.
+ </p>
+ <p>1734 骞达紝鐟炲＋鏁板瀹舵鎷変互<i>f</i>锛堬級
+ 琛ㄧず鍑芥暟锛岃繖鏄暟瀛﹀彶涓婂嚱鏁伴娆′互鈥�<i>f</i>鈥濈鍙疯〃绀猴紒浠栨妸鍑芥暟瀹氫箟涓衡�滃鏋滄煇浜涘彉閲忥紝浠ユ煇涓�绉嶆柟寮忎緷璧栦簬鍙︿竴浜涘彉閲忥紝鍗冲綋鍚庨潰杩欎簺鍙橀噺鍙樺寲鏃讹紝鍓嶉潰杩欎簺鍙橀噺涔熼殢涔嬪彉鍖栵紝鎴戜滑鎶婂墠闈㈢殑鍙橀噺绉颁负鍚庨潰鍙橀噺鐨勫嚱鏁�.鈥濆苟閲囩敤澶у啓甯岃厞瀛楁瘝<i>螤x</i>锛�<i>桅x</i>鍙�<i>螖x</i>琛ㄧず<i>x</i>鐨勫嚱鏁�.
+ </p>
+ <p>1797骞达紝娉曞浗鏁板瀹舵媺鏍兼湕鏃ュぇ鍔涙帹鍔ㄤ互<i>f</i>锛�<i>F</i>锛�<i>桅</i>鍙�<i>y</i>琛ㄧず鍑芥暟锛屽苟涓旀部鐢ㄨ嚦浠婏紒</p>
+ <p>1821骞达紝娉曞浗鏁板瀹舵煰瑗跨粰鍑哄嚱鏁扮殑瀹氫箟锛氣�滃湪鏌愪簺鍙樻暟闂村瓨鍦ㄧ潃涓�瀹氱殑鍏崇郴锛屽綋涓�缁忕粰瀹氬叾涓煇涓�鍙樻暟鐨勫�硷紝鍏朵粬鍙樻暟鐨勫�煎彲闅忎箣鑰岀‘瀹氭椂锛屽垯灏嗘渶鍒濈殑鍙樻暟鍙嚜鍙橀噺锛屽叾浠栧悇鍙樻暟鍙嚱鏁�.鈥�</p>
+ <p>1822骞达紝娉曞浗鏁板瀹跺倕绔嬪彾鍙戠幇鏌愪簺鍑芥暟鍙敤鏇茬嚎琛ㄧず锛屼篃鍙互鐢ㄤ竴涓紡瀛愯〃绀猴紝鎴栫敤澶氫釜寮忓瓙琛ㄧず锛屼粬鎶婂鍑芥暟鐨勮璇嗗張鎺ㄨ繘鍒颁簡涓�涓柊鐨勫眰娆�.</p>
+ <p>1893骞达紝鎰忓ぇ鍒╂暟瀛﹀鐨簹璇哄紑濮嬮噰鐢ㄧ鍙�<i>y</i>=<i>f</i>锛�<i>x</i>锛夎〃绀哄嚱鏁帮紝杩欏氨鏄垜浠粖澶╄鍒扮殑鍑芥暟绗﹀彿锛�</p>
+ <p>
+ 鍚庢潵锛屾暟瀛﹀浠敤鈥滈泦鍚堚�濆拰鈥滃搴斺�濈粰鍑轰簡杩戜唬鍑芥暟鐨勬蹇碉紝鎶婂嚱鏁扮殑瀵瑰簲鍏崇郴銆佸畾涔夊煙鍙婂�煎煙杩涗竴姝ュ叿浣撳寲锛氣�滆嫢瀵归泦鍚�<i>M</i>鐨勪换鎰忓厓绱�<i>x</i>锛屾�绘湁闆嗗悎<i>N</i>涓‘瀹氱殑鍏冪礌<i>y</i>涓庝箣瀵瑰簲锛屽垯绉板湪闆嗗悎<i>M</i>涓婂畾涔変竴涓嚱鏁帮紝璁颁负<i>y</i>=<i>f</i>锛�<i>x</i>锛�.鈥�
+ </p>
+ </div>
</div>
</div>
-
<!-- 108 -->
<div class="page-box" page="115">
<div v-if="showPageList.indexOf(115) > -1">
@@ -528,10 +2881,27 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h2 id="b020">鍗曞厓灏忕粨<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span></h2>
+ <p class="bj2"><b>瀛︿範瀵煎浘</b></p>
+ <p class="center"><img class="img-b" alt="" src="../../assets/images/0119-1.jpg" /></p>
+ <p class="bj2"><b>瀛︿範鎸囧</b></p>
+ <p>1.鍑芥暟鐨勬蹇�.</p>
+ <p>锛�1锛� 鍑芥暟鐨勫畾涔夛細涓�鑸湴锛� 璁�<i>A</i>锛�<i>B</i>鏄潪绌烘暟闆嗭紝 濡傛灉瀛樺湪涓�涓搴斿叧绯�<i>f</i>锛屼娇瀵逛簬闆嗗悎 <i>A</i> 涓殑姣忎竴涓暟<i>x</i>锛屽湪闆嗗悎<i>B</i>
+ 涓兘鏈夊敮涓�纭畾鐨勬暟<i>y</i>
+ 鍜屽畠瀵瑰簲锛岄偅涔堝氨鎶婂搴斿叧绯�<i>f</i>绉颁负瀹氫箟鍦ㄩ泦鍚�<i>A</i>涓婄殑涓�涓�<b>鍑芥暟</b>锛岃浣�<i>y</i>=<i>f</i>锛�<i>x</i>锛夛紝<i>x</i>鈭�<i>A</i>.鍏朵腑锛�<i>x</i>鍙綔鑷彉閲忥紝<i>x</i>鐨勫彇鍊艰寖鍥�<i>A</i>鍙綔鍑芥暟鐨�<b>瀹氫箟鍩�</b>锛涗笌<i>x</i>鐨勫�肩浉瀵瑰簲鐨�<i>y</i>鍊煎彨浣滃嚱鏁板�硷紝鍑芥暟鍊肩殑闆嗗悎{<i>f</i>锛�<i>x</i>锛夛綔<i>x</i>鈭�<i>A</i>}鍙綔鍑芥暟鐨�<b>鍊煎煙</b>.
+ </p>
+ <p>瀹氫箟鍩熷拰瀵瑰簲鍏崇郴鏄嚱鏁扮殑涓や釜瑕佺礌锛屽�煎煙鏄敱瀹氫箟鍩熶笌鍑芥暟鍏崇郴鎵�鍐冲畾鐨�.</p>
+ <p>锛�2锛� 姹傚嚱鏁板畾涔夊煙鏃讹紝棣栧厛瑕佽�冭檻闂鐨勫疄闄呮剰涔�.</p>
+ <p>2.鍑芥暟鐨勮〃绀烘柟娉�.</p>
+ <p>锛�1锛� 鍑芥暟鏈変笁绉嶈〃绀烘柟娉曪細鍒楄〃娉曘�佸浘鍍忔硶鍜岃В鏋愭硶.鍦ㄨВ鍐抽棶棰樻椂锛屽簲鏍规嵁闇�瑕侀�夋嫨鎭板綋鐨勮〃绀烘柟娉�.</p>
+ <p>锛�2锛� 鍒嗘鍑芥暟锛氬垎娈靛嚱鏁版槸鍦ㄨ嚜鍙橀噺涓嶅悓鐨勫彇鍊艰寖鍥村唴锛岄噰鐢ㄤ笉鍚岀殑瀵瑰簲鍏崇郴鐨勪竴绉嶅嚱鏁帮紝鍒嗘鍑芥暟浠嶇劧鏄竴涓嚱鏁�.</p>
+ <p>3.鍑芥暟鐨勫崟璋冩�у拰濂囧伓鎬�.</p>
+ <p>鍑芥暟鐨勫崟璋冩�у拰濂囧伓鎬ф槸鍑芥暟鐨勪袱涓熀鏈�ц川.</p>
+ <p>锛�1锛� 鍑芥暟鐨勫崟璋冩�у弽鏄犱簡鍑芥暟鍊煎彉鍖栫殑瓒嬪娍.鍗曡皟鎬ф槸鐩稿浜庡嚱鏁板畾涔夊煙鐨勬煇涓尯闂达紙鍖洪棿鏄畾涔夊煙鐨勫瓙闆嗭級鑰岃█鐨勶紝鎵�浠ョ爺绌跺嚱鏁扮殑鍗曡皟鎬ф椂锛屽繀椤绘寚鏄庡崟璋�</p>
+ </div>
</div>
</div>
-
<!-- 109 -->
<div class="page-box" page="116">
<div v-if="showPageList.indexOf(116) > -1">
@@ -543,50 +2913,160 @@
<p><span>109</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="t0">鍖洪棿.</p>
+ <p>锛�2锛�
+ 鍑芥暟鐨勫鍋舵�у弽鏄犲嚱鏁板浘鍍忕殑瀵圭О鎬�.濂囧嚱鏁般�佸伓鍑芥暟鐨勫畾涔夊煙涓�瀹氭槸鍏充簬鍘熺偣瀵圭О鐨�.鑻ュ嚱鏁板浘鍍忓叧浜�<i>y</i>杞村绉帮紝鍒欒鍑芥暟鏄伓鍑芥暟锛涜嫢鍑芥暟鍥惧儚鍏充簬鍘熺偣瀵圭О锛屽垯璇ュ嚱鏁版槸濂囧嚱鏁�.鍙嶄箣锛屽伓鍑芥暟涓�瀹氬叧浜�<i>y</i>杞村绉帮紱濂囧嚱鏁颁竴瀹氬叧浜庡師鐐瑰绉�.
+ </p>
+ <p>4.鍑芥暟鐨勫疄闄呭簲鐢�.</p>
+ <p>鍑芥暟鐨勫疄闄呭簲鐢ㄩ棶棰樹富瑕佹姄浣忎互涓嬪嚑涓楠わ細涓�鏄鎳傞鎰忥紱浜屾槸姝ｇ‘寤虹珛鍑芥暟鍏崇郴锛堝垎娈靛嚱鏁般�佷簩娆″嚱鏁扮瓑锛夛紱涓夋槸杞寲涓哄嚱鏁伴棶棰橈紱鍥涙槸鍋氬ソ鏈�鍚庣殑瑙ｇ瓟.</p>
+ </div>
</div>
</div>
-
<!-- 110 -->
<div class="page-box" page="117">
<div v-if="showPageList.indexOf(117) > -1">
<ul class="page-header-odd fl al-end">
- <li>110</li>
+ <li>110-112</li>
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h2 id="b021">鍗曞厓妫�娴�<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span></h2>
+ <div class="bj" >
+ <examinations :cardList="questionData[117]" :hideCollect="true" sourceType="json"
+ v-if="questionData" ></examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 111 -->
- <div class="page-box" page="118">
- <div v-if="showPageList.indexOf(118) > -1">
- <ul class="page-header-box">
- <li>
- <p>绗笁鍗曞厓 鍑芥暟</p>
- </li>
- <li>
- <p><span>111</span></p>
- </li>
- </ul>
- <div class="padding-116"></div>
- </div>
+ <div class="page-box hidePage" page="118">
</div>
<!-- 112 -->
- <div class="page-box" page="119">
- <div v-if="showPageList.indexOf(119) > -1">
- <ul class="page-header-odd fl al-end">
- <li>112</li>
- <li>鏁板.鍩虹妯″潡</li>
- <li>涓婂唽</li>
- </ul>
- <div class="padding-116"></div>
- </div>
+ <div class="page-box hidePage" page="119">
</div>
+ <!-- 鍑芥暟鎺т欢寮圭獥 -->
+ <el-dialog :visible.sync="dialogVisible" width="60%" :append-to-body="true" :show-close="false">
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+ <iframe src="https://www.geogebra.org/calculator" frameborder="0" style="width: 100%; min-height: 800px"></iframe>
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+ <span style=""> 瑙ｉ鎬濊矾 </span>
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+ </div>
+ </el-dialog>
+ <!-- 瑙ｉ姝ラ寮圭獥 -->
+ <el-dialog class="stepDialog" title="瑙ｉ姝ラ" :visible.sync="stepDialog" width="40%" :append-to-body="true"
+ :show-close="false">
+ <div slot="title" style="padding: 0; text-align: center; color: #333;display:flex;justify-content: center;">
+ <span>
+ 瑙ｉ姝ラ
+ </span>
+ <svg style="position: absolute; right:10px;cursor: pointer;" @click="stepDialog = false" t="1718596022986"
+ class="icon" viewBox="0 0 1024 1024" version="1.1" xmlns="http://www.w3.org/2000/svg" p-id="4252" width="20"
+ height="20" xmlns:xlink="http://www.w3.org/1999/xlink">
+ <path
+ d="M176.661601 817.172881C168.472798 825.644055 168.701706 839.149636 177.172881 847.338438 185.644056 855.527241 199.149636 855.298332 207.338438 846.827157L826.005105 206.827157C834.193907 198.355983 833.964998 184.850403 825.493824 176.661601 817.02265 168.472798 803.517069 168.701706 795.328267 177.172881L176.661601 817.172881Z"
+ fill="#979797" p-id="4253"></path>
+ <path
+ d="M795.328267 846.827157C803.517069 855.298332 817.02265 855.527241 825.493824 847.338438 833.964998 839.149636 834.193907 825.644055 826.005105 817.172881L207.338438 177.172881C199.149636 168.701706 185.644056 168.472798 177.172881 176.661601 168.701706 184.850403 168.472798 198.355983 176.661601 206.827157L795.328267 846.827157Z"
+ fill="#979797" p-id="4254"></path>
+ </svg>
+ </div>
+ <ul>
+ <li v-for="(item, index) in stepOne" :key="index">
+ <div v-if="item.isShow" style="display: flex">
+ <span style="position: relative">
+ <span style="position: absolute; top: 16px; left: 13px; color: #fff">{{ index + 1 }}</span>
+ <img src="../../assets/images/icon/blue-group.png" alt="" style="margin-right: 10px"
+ v-if="index < stepOne.length - 1" />
+ <img src="../../assets/images/icon/blue.png" alt="" v-if="index == stepOne.length - 1"
+ style="margin-right: 10px" />
+ </span>
+ <p class="txt-p">{{ item.txt }}</p>
+ </div>
+ </li>
+ </ul>
+ <div @click="showNextChange(stepIndex)" style="
+ display: flex;
+ flex-direction: column;
+ align-items: center;
+ justify-content: center;
+ ">
+ <img src="../../assets/images/icon/mouse.png" alt="" v-if="stepIndex != 2" />
+ <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" t="1710234570135"
+ class="icon" viewBox="0 0 1024 1024" version="1.1" p-id="5067" width="15" height="15">
+ <path
+ d="M2.257993 493.371555 415.470783 906.584344 512 1003.113561 608.529217 906.584344 1021.742007 493.371555 925.212789 396.842337 512 810.055127 98.787211 396.842337Z"
+ fill="#1296db" p-id="5068" />
+ <path
+ d="M2.257993 117.980154 415.470783 531.192944 512 627.722161 608.529217 531.192944 1021.742007 117.980154 925.212789 21.450937 512 434.663727 98.787211 21.450937Z"
+ fill="#1296db" p-id="5069" />
+ </svg>
+ </div>
+ </el-dialog>
</div>
</template>
<script>
+import paint from '@/components/paint/index.vue'
+import examinations from '@/components/examinations/index.vue'
+import { getResourcePath } from "@/assets/methods/resources";
+import { getCollectResource, setCollectResource } from "@/assets/methods/resources";
export default {
name: '',
props: {
@@ -594,17 +3074,239 @@
type: Array,
default: [],
},
+ questionData: {
+ type: Object,
+ },
},
- components: {},
+ components: {examinations,paint},
data() {
- return {}
+ return {
+ collectImg: require("../../assets/images/icon/heart.png"),
+ collectCheck: require("../../assets/images/icon/heart-check.png"),
+ isShowExampleOne: false,
+ isShowExampleTwo: false,
+ isShowExampleThree: false,
+ isShowExampleFour: false,
+ isShowExampleFive: false,
+ dialogVisible: false,
+ thinkingDialog: false,
+ stepDialog: false,
+ videoPath: "",
+ stepIndex: 1,
+ thinkIndex: 1,
+ collectResourceList: [],
+ chapterData: {
+ isCollectImg: false,
+ isCollectVideo: false,
+ txtOne: "",
+ txtTwo: "",
+ },
+ thinkOne: [
+ {
+ txt: "1:涓�涓嚱鏁版槸涓� 鏄伓鍑芥暟,鍙互鐢� 鍑芥暟鐨勫浘鍍忔槸鍚﹀叧 浜巠 杞� 瀵� 绉� 鏉� 鍒� 鏂�;褰撳嚱鏁扮敤瑙ｆ瀽 娉曡〃绀烘椂,鍙互鐢� 鍋� 鍑� 鏁� 鐨� 瀹� 涔� 鏉� 鍒ゆ柇銆� 鍋跺嚱鏁�:涓�鑸湴锛岃鍑芥暟f(x)鐨勫畾涔夊煙涓篋锛屽鏋滃浜庝换鎰弜ED锛岄兘鏈塜ED锛屼笖f(-x)=f(x)锛岄偅涔堝嚱鏁癴(x)灏卞彨浣滃伓鍑芥暟",
+ isShow: true,
+ },
+ {
+ txt: "2:璁＄畻f(-x)",
+ isShow: false,
+ },
+ {
+ txt: "3:鍒ゆ柇f(-x)鏄惁绛変簬f(x)",
+ isShow: false,
+ },
+ ],
+ stepOne: [
+ {
+ txt: "1:(1)鍑芥暟f(x)=3x2+1鐨勫畾涔夊煙鏄疪锛屽浠绘剰XER锛岄兘鏈�-XER",
+ isShow: true,
+ },
+ {
+ txt: "2:f(-x)=3(-x)2+1=3x2+1=f(x)",
+ isShow: false,
+ },
+ ],
+ dragQuestion: [
+ {
+ analysisCon: null,
+ answer: ['A', 'B', 'C'],
+ difficulty: 0,
+ id: "7BC7B760",
+ isCollect: false,
+ isComplete: false,
+ isRight: null,
+ isUnfold: "",
+ isUserAnswer: false,
+ number: 1,
+ option: [
+ {
+ img: "",
+ index: "010311",
+ txt: "鑳嗗皬鐨�",
+ value: "A",
+ isShow: true
+ },
+ {
+ img: "",
+ index: "010312",
+ txt: "鍠勮壇鐨�",
+ value: "B",
+ isShow: true
+ },
+ {
+ img: "",
+ index: "010313",
+ txt: "娌夌ǔ鐨�",
+ value: "C",
+ isShow: true
+ },
+ ],
+ optionStyle: "Txt",
+ questionType: "drag",
+ score: 2,
+ stem: {
+ 0: "铓傝殎闃熼暱璧拌矾鏄傞鎸鸿兏銆佹浼愬潥瀹氾紝瀹冩槸涓�鍙�(",
+ 1: {
+ data: "span",
+ num: 0
+ },
+ 2: ")铓傝殎;灏忚殏铓佽蛋璧疯矾鏉ュ皬蹇冪考缈硷紝鐪肩椋樺拷涓嶅畾锛屽畠鏄竴鍙�(",
+ 3: {
+ data: "span",
+ num: 1
+ },
+ 4: ")铓傝殎;铓傝殎灏忓闈㈠甫寰瑧锛屾椂鍒绘効鎰忓府鍔╁ぇ瀹讹紝瀹冩槸涓�鍙�(",
+ 5: {
+ data: "span",
+ num: 2,
+ },
+ 6: " )铓傝殎"
+ },
+ stemStyle: "RichTxt",
+ type: "鎷栨嫿棰�",
+ userAnswer: [
+ {
+ vlaue: '',
+ txt: ''
+ },
+ {
+ vlaue: '',
+ txt: ''
+ },
+ {
+ vlaue: '',
+ txt: ''
+ },
+ ]
+ },
+ ]
+ };
},
computed: {},
- watch: {},
- created() { },
- mounted() { },
- methods: {},
+ async mounted() {
+ const data = localStorage.getItem("math-chapterData");
+ if (data) {
+ this.chapterData = JSON.parse(data);
+ }
+ this.getPath();
+ this.collectResourceList = await getCollectResource(this.config.activeBook.bookId)
+ },
+ methods: {
+ async getPath() {
+ this.videoPath = await getResourcePath(
+ "a28cd862d61b5df2201406b76e9f01b0"
+ );
+ },
+ handleChapterData() {
+ localStorage.setItem(
+ "math-chapterData",
+ JSON.stringify(this.chapterData)
+ );
+ },
+ handleCollect(type) {
+ if (type == "img") {
+ this.handleCollectResource("722FE833", "", 'images/0101-1.jpg', "鍥剧墖", "json", '鍥�3-15')
+ } else if (type == "video") {
+ this.handleCollectResource("a28cd862d61b5df2201406b76e9f01b0", "a28cd862d61b5df2201406b76e9f01b0", '', "瑙嗛", "bits", '瑙嗛锛氬垽鏁板嚱鏁板鍋舵�х殑鏂规硶鍜屾楠�')
+ }
+ this.handleChapterData();
+ },
+ openMathDiaolog() {
+ this.dialogVisible = true;
+ },
+ openThinkingDialog() {
+ this.thinkingDialog = true;
+ },
+ showNext(num) {
+ const number = this.thinkOne.findIndex((item, index) => index == num);
+ console.log(number);
+ this.thinkOne[number].isShow = true;
+ if (this.thinkIndex <= 2) {
+ this.thinkIndex++;
+ }
+ },
+ showNextChange(num) {
+ const number = this.stepOne.findIndex((item, index) => index == num);
+ this.stepOne[number].isShow = true;
+ if (this.stepIndex < 2) {
+ this.stepIndex++;
+ }
+ },
+ //璧勬簮鏀惰棌浜嬩欢
+ handleCollectResource(id, md5, resourcePath, resourceType, source, resourceName) {
+ console.log(this.collectResourceList);
+ let list = this.collectResourceList
+ if (list.findIndex(item => item.id == id) > -1) {
+ list = list.filter(item => item.id != id)
+ } else {
+ list.push({
+ id,
+ md5,
+ resourcePath,
+ resourceType,
+ source,
+ resourceName,
+ })
+ }
+ this.collectResourceList = list
+ setCollectResource(this.config.activeBook.bookId, this.collectResourceList)
+ }
+ },
}
</script>
-<style lang="less" scoped></style>
+<style lang="less" scoped>
+
+.iframe-box {
+ width: 100%;
+ min-height: 800px;
+ border: 1px solid #00a1e9;
+ border-radius: 10px;
+}
+
+li {
+ list-style: none;
+}
+
+.txt-p {
+ margin-top: 0;
+ padding: 10px 0;
+}
+
+.bottom-btn {
+ display: flex;
+ flex-direction: column;
+ align-items: center;
+ justify-content: center;
+}
+
+.step-num {
+ position: relative;
+
+ .step-num-box {
+ position: absolute;
+ top: 16px;
+ left: 13px;
+ color: #fff;
+ }
+}
+</style>
diff --git a/src/books/mathBook/view/components/chapter004.vue b/src/books/mathBook/view/components/chapter004.vue
index 31c5a66..7c0b6ba 100644
--- a/src/books/mathBook/view/components/chapter004.vue
+++ b/src/books/mathBook/view/components/chapter004.vue
@@ -1,25 +1,54 @@
<template>
- <div class="chapter" num="5">
-
+ <div class="chapter" num="4">
<!-- 绗洓鍗曞厓棣栭〉 -->
<div class="page-box" page="120">
<div v-if="showPageList.indexOf(120) > -1">
- <div class="padding-116">绗洓鍗曞厓棣栭〉</div>
+ <h1 id="a008">
+ <img class="img-0" alt="" src="../../assets/images/dy4.jpg" />
+ </h1>
+ <div class="padding-116">
+ <p>
+ 鐭ヨ瘑鏀瑰彉鍛借繍锛屾妧鑳芥垚灏变汉鐢燂紝鍏ㄧぞ浼氬潥鎸佸皧閲嶅姵鍔ㄣ�佸皧閲嶇煡璇嗐�佸皧閲嶄汉鎵嶃�佸皧閲嶅垱閫�.钁楀悕鍘ㄥ笀鍘夋仼娴锋浘鏄竴鍚嶅啗浜猴紝缁冨氨浜嗕竴韬媺闈㈢粷娲伙紝浠栬兘鎶�1
+ kg
+ 鐨勯潰鎷夊嚭200澶氫竾鏍圭粏濡傚彂涓濈殑闈㈡潯锛�4娆″垱閫犲悏灏兼柉涓栫晫绾綍锛岃瑾変负鈥滀腑鍥芥媺闈㈠ぇ鐜嬧��.鎷夐潰浠庝竴鍧楅潰鍧楀紑濮嬶紝鎵嬫彙涓ょ锛屼袱鑷傚潎鍖�鐢ㄥ姏鍔犻�熷悜澶栨娀鎷夛紝鐒跺悗涓ゅご瀵规姌鍚庡啀鎷夛紝姣忓鎶�1娆★紝闈㈡潯鐨勬暟閲忓湪鍘熸湁鍩虹涓婄炕涓�鍊嶏紝濡傛缁х画锛屾瘡娆″鎶樺悗闈㈡潯鐨勬暟閲忓舰鎴愪笅鍒楁暟瀛�1锛�2锛�4锛�8锛�16锛�32锛�64锛屸�︿负浜嗘洿濂藉湴浣撶幇闈㈡潯鏁伴噺涓庡鎶樻鏁扮殑鍏崇郴锛屼篃鍙互琛ㄧず涓�2<sup>0</sup>锛�2<sup>1</sup>锛�2<sup>2</sup>锛�2<sup>3</sup>锛�2<sup>4</sup>锛�2<sup>5</sup>锛�2<sup>6</sup>锛屸�﹁嫢鐢ㄥ嚱鏁拌瑷�鍒荤敾杩欑被鏁伴噺鍏崇郴鍜屽彉鍖栬寰嬶紝灏辨槸鎴戜滑鍗冲皢瀛︿範鐨勬寚鏁板嚱鏁�.鐜板疄鐢熸椿涓紝鏁版嵁閲忕殑鐖嗙偢寮忓闀裤�佺粏鑳炲垎瑁傘�佺⒊14鑰冨彜銆佸偍钃勫埄鐜囷紙澶嶅埄锛夈�佽娑蹭腑鐨勯厭绮惧惈閲忕瓑闂锛岄兘浼氱敤鍒版寚鏁板嚱鏁扮浉鍏崇煡璇�.
+ </p>
+ <p>
+ 鎸囨暟鍑芥暟涓庡鏁板嚱鏁版槸涓ょ被鍩烘湰鍒濈瓑鍑芥暟锛屾槸鎻愰珮鏁板杩愮畻鑳藉姏銆佸煿鍏绘暟褰㈢粨鍚堟�濇兂鍜屾暟瀛﹀缓妯¤兘鍔涚殑閲嶈鍐呭.瀹冧滑鍦ㄤ汉鍙ｅ闀跨粺璁°�佹枃鐗╄�冨彜閴村埆銆佽埅娴峰崼鏄熷畾浣嶇瓑鏂归潰鍙戞尌鐫�閲嶈浣滅敤锛屽湪璐㈢粡銆侀噾铻嶃�佸叕鍏辨湇鍔°�佷俊鎭妧鏈瓑棰嗗煙鏈夊箍娉涘簲鐢�.
+ </p>
+ <p>
+ 鏈崟鍏冩垜浠皢鍦ㄦ暣鏁板箓鐨勫熀纭�涓婃帹骞垮箓鐨勬蹇碉紝瀛︿範瀹炴暟骞傜殑鐩稿叧瀹氫箟鍜岃繍绠楁�ц川銆佹寚鏁板嚱鏁扮殑鍥惧儚涓庢�ц川銆佸鏁板畾涔夊強杩愮畻娉曞垯銆佸鏁板嚱鏁扮殑鍥惧儚涓庢�ц川銆佹寚鏁板嚱鏁颁笌瀵规暟鍑芥暟鐨勫疄闄呭簲鐢ㄧ瓑鍐呭锛屾劅鎮熸暟瀛︿笌鐜板疄鐨勫叧鑱旓紝鎶婃彙浜嬬墿鐨勬湰璐紝褰㈡垚鐞嗘�ф�濊�冮棶棰樼殑鍝佽川鍜岀簿绁�.
+ </p>
+ </div>
</div>
</div>
<!-- 鐩爣 -->
<div class="page-box" page="121">
<div v-if="showPageList.indexOf(121) > -1">
- <div class="padding-116">鐩爣</div>
+ <div class="padding-116">
+ <p class="left">
+ <img class="inline2" alt="" src="../../assets/images/xxmb.jpg" />
+ </p>
+ <div class="fieldset">
+ <p>1.瀹炴暟鎸囨暟骞�.</p>
+ <p>
+ 鑳戒綋浼氭寚鏁颁粠姝ｆ暣鏁版帹骞垮埌鏈夌悊鏁般�佸疄鏁扮殑杩囩▼锛屼簡瑙ｅ疄鏁版寚鏁板箓鐨勮繍绠楁硶鍒�.
+ </p>
+ <p>2.鎸囨暟鍑芥暟鍜屽鏁板嚱鏁�.</p>
+ <p>鑳藉�熷姪鍑犱綍鐩磋鍜屼唬鏁拌繍绠楄璇嗘寚鏁板嚱鏁板拰瀵规暟鍑芥暟锛�</p>
+ <p>
+ 浜嗚В鎸囨暟鍑芥暟鍜屽鏁板嚱鏁扮殑瀹氫箟锛岀悊瑙ｅ畠浠殑鍥惧儚鍙婃�ц川锛屾劅鎮熸暟褰㈢粨鍚堢殑鏁板鎬濇兂锛�
+ </p>
+ <p>浼氱敤瀵规暟鐨勫畾涔夎繘琛屾寚鏁板紡涓庡鏁板紡鐨勪簰鍖栵紱</p>
+ <p>浜嗚В瀵规暟鐨勬�ц川鍜岃繍绠楁硶鍒�.</p>
+ <p>3.鎸囨暟鍑芥暟涓庡鏁板嚱鏁扮殑瀹為檯搴旂敤.</p>
+ <p>鑳戒粠瀹為檯鎯呭鎶借薄鍑烘寚鏁板嚱鏁般�佸鏁板嚱鏁版ā鍨嬭В鍐崇畝鍗曢棶棰�.</p>
+ </div>
+ </div>
</div>
</div>
-
-
<!-- 115 -->
<div class="page-box" page="122">
<div v-if="showPageList.indexOf(122) > -1">
-
-
<ul class="page-header-box">
<li>
<p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
@@ -28,25 +57,809 @@
<p><span>115</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h2 id="b022">
+ 4.1 瀹炴暟鎸囨暟骞�<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+ </h2>
+ <h3 id="c034">
+ 4.1.1 鏈夌悊鏁版寚鏁板箓<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/zshg.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 濡傛灉<i>b</i><sup>2</sup>=<i>a</i>锛岄偅涔�<i>b</i>灏卞彨浣�<i>a</i>
+ 鐨勫钩鏂规牴锛堟垨浜屾鏂规牴锛�.鍥犱负<i>b</i><sup>2</sup>鈮�0锛屾晠褰�<i>a</i>锛�0鏃讹紝鍦ㄥ疄鏁拌寖鍥村唴<i>a</i>娌℃湁骞虫柟鏍癸紱褰�<i>a</i>锛�0鏃讹紝<i>a</i>鐨勫钩鏂规牴鏈変袱涓紝瀹冧滑浜掍负鐩稿弽鏁帮紝鍒嗗埆涓�<math
+ display="0">
+ <msqrt>
+ <mi>a</mi>
+ </msqrt>
+ </math>鍜�<math display="0">
+ <mo>鈭�</mo>
+ <msqrt>
+ <mi>a</mi>
+ </msqrt>
+ </math>锛涘綋<i>a</i>=0鏃讹紝
+ <math display="0">
+ <msqrt>
+ <mn>0</mn>
+ </msqrt>
+ <mo>=</mo>
+ <mn>0</mn>
+ </math>.渚嬪锛� 卤3灏辨槸9鐨勫钩鏂规牴.
+ </p>
+ <p class="block">
+ 濡傛灉<i>b</i><sup>3</sup>=<i>a</i>锛岄偅涔�<i>b</i>灏卞彨浣�<i>a</i>鐨勭珛鏂规牴锛堟垨涓夋鏂规牴锛�.鍦ㄥ疄鏁拌寖鍥村唴<i>a</i>鍙湁涓�涓珛鏂规牴锛岃涓�<math
+ display="0">
+ <mroot>
+ <mi>a</mi>
+ <mn>3</mn>
+ </mroot>
+ </math>.渚嬪锛�2灏辨槸8鐨勭珛鏂规牴.
+ </p>
+ </div>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
+ </p>
+ <p>
+ 涓�鑸湴锛屽鏋�<i>b<sup>n</sup></i>=<i>a</i>锛�<i>n</i>锛�1锛�<i>n</i>鈭�<b>N</b>锛夛紝閭ｄ箞<i>b</i>灏卞彨浣�<i>a</i>鐨�<i>n</i>娆℃柟鏍�.
+ </p>
+ <p>
+ 褰�<i>n</i>鏄鏁版椂锛屾鏁�<i>a</i>鐨�<i>n</i>娆℃柟鏍规槸涓�涓鏁帮紝璐熸暟<i>a</i>鐨�<i>n</i>娆℃柟鏍规槸涓�涓礋鏁�.杩欐椂锛�<i>a</i>鐨�<i>n</i>娆℃柟鏍圭敤绗﹀彿<math
+ display="0">
+ <mroot>
+ <mi>a</mi>
+ <mi>n</mi>
+ </mroot>
+ </math>琛ㄧず.渚嬪锛�
+ </p>
+ <math display="block">
+ <mroot>
+ <mn>128</mn>
+ <mn>7</mn>
+ </mroot>
+ <mo>=</mo>
+ <mn>2</mn>
+ <mo>锛�</mo>
+ <mroot>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>128</mn>
+ </mrow>
+ <mn>7</mn>
+ </mroot>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ <mo>锛�</mo>
+ <mroot>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mn>6</mn>
+ </mrow>
+ </msup>
+ <mn>3</mn>
+ </mroot>
+ <mo>=</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>.</mo>
+ </math>
+ <p>
+ 褰�<i>n</i>鏄伓鏁版椂锛屾鏁�<i>a</i>鐨�<i>n</i>娆℃柟鏍规湁涓や釜锛屼袱鏁颁簰涓虹浉鍙嶆暟.杩欐椂锛屾鏁�<i>a</i>鐨勬鐨�<i>n</i>娆℃柟鏍圭敤绗﹀彿<math display="0">
+ <mroot>
+ <mi>a</mi>
+ <mi>n</mi>
+ </mroot>
+ </math>琛ㄧず锛岃礋鐨�<i>n</i>娆℃柟鏍圭敤绗﹀彿<math display="0">
+ <mo>鈭�</mo>
+ <mroot>
+ <mi>a</mi>
+ <mi>n</mi>
+ </mroot>
+ </math>琛ㄧず.姝ｇ殑<i>n</i>娆℃柟鏍逛笌璐熺殑<i>n</i>娆℃柟鏍瑰彲浠ュ悎骞跺啓鎴�<math display="0">
+ <mo>卤</mo>
+ <mroot>
+ <mi>a</mi>
+ <mi>n</mi>
+ </mroot>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>a</mi>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>.渚嬪锛�
+ </p>
+ <math display="block">
+ <mroot>
+ <mn>64</mn>
+ <mn>6</mn>
+ </mroot>
+ <mo>=</mo>
+ <mn>2</mn>
+ <mo>,</mo>
+ <mo>鈭�</mo>
+ <mroot>
+ <mn>64</mn>
+ <mn>6</mn>
+ </mroot>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ <mo>锛�</mo>
+ <mo>卤</mo>
+ <mroot>
+ <mn>64</mn>
+ <mn>6</mn>
+ </mroot>
+ <mo>=</mo>
+ <mo>卤</mo>
+ <mn>2.</mn>
+ </math>
+ <p>璐熸暟娌℃湁鍋舵鏂规牴.</p>
+ <p>
+ 0鐨勪换浣曟鏂规牴閮芥槸0锛岃浣�
+ <math display="0">
+ <mroot>
+ <mn>0</mn>
+ <mi>n</mi>
+ </mroot>
+ <mo>=</mo>
+ <mn>0</mn>
+ </math>.
+ </p>
+ <p>
+ 褰㈠
+ <math display="0">
+ <mroot>
+ <mi>a</mi>
+ <mi>n</mi>
+ </mroot>
+ <mo stretchy="false">(</mo>
+ <mi>n</mi>
+ <mo>锛�</mo>
+ <mn>1</mn>
+ </math>锛�<i>n</i>锛�1锛�<i>n</i>鈭�<b>N</b><sub>+</sub>锛夌殑寮忓瓙鍙綔<b>鏍瑰紡</b>锛�<i>n</i>鍙綔<b>鏍规寚鏁�</b>锛�<i>a</i>鍙綔<b>琚紑鏂规暟</b>.
+ </p>
+ <p>鏍规嵁<i>n</i>娆℃柟鏍圭殑瀹氫箟锛屾牴寮忓叿鏈変笅鍒楁�ц川.</p>
+ <p>
+ 锛�1锛�
+ <math display="0">
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mroot>
+ <mi>a</mi>
+ <mi>n</mi>
+ </mroot>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mi>n</mi>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mi>a</mi>
+ </math>.
+ </p>
+ <p>
+ 锛�2锛� 褰�<i>n</i>涓哄鏁版椂锛�<math display="0">
+ <mroot>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mi>n</mi>
+ </mrow>
+ </msup>
+ <mi>n</mi>
+ </mroot>
+ <mo>=</mo>
+ <mi>a</mi>
+ </math>锛�
+ </p>
+ <p>
+ 褰�<i>n</i>涓哄伓鏁版椂锛�<math display="0">
+ <mroot>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mi>n</mi>
+ </mrow>
+ </msup>
+ <mi>n</mi>
+ </mroot>
+ <mo>=</mo>
+ <mrow>
+ <mo stretchy="false">|</mo>
+ </mrow>
+ <mi>a</mi>
+ <mrow>
+ <mo stretchy="false">|</mo>
+ </mrow>
+ <mo>=</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mtable columnalign="left left" columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mi>a</mi>
+ <mo>,</mo>
+ </mtd>
+ <mtd>
+ <mi>a</mi>
+ <mo>猢�</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mo>鈭�</mo>
+ <mi>a</mi>
+ <mo>锛�</mo>
+ </mtd>
+ <mtd>
+ <mi>a</mi>
+ <mo>.</mo>
+ <mo><</mo>
+ <mn>0</mn>
+ </mtd>
+ </mtr>
+ </mtable>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ </math>.
+ </p>
+ </div>
</div>
</div>
<!-- 116 -->
<div class="page-box" page="123">
<div v-if="showPageList.indexOf(123) > -1">
-
<ul class="page-header-odd fl al-end">
<li>116</li>
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�璁＄畻.
+ </p>
+ <p>
+ 锛�1锛�
+ <math display="0">
+ <mroot>
+ <msup>
+ <mn>5</mn>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mn>3</mn>
+ </mroot>
+ </math>锛涳紙2锛�
+ <math display="0">
+ <mroot>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mn>5</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mn>3</mn>
+ </mroot>
+ </math>锛涳紙3锛�
+ <math display="0">
+ <mroot>
+ <msup>
+ <mn>7</mn>
+ <mrow>
+ <mn>4</mn>
+ </mrow>
+ </msup>
+ <mn>4</mn>
+ </mroot>
+ </math>锛�
+ </p>
+ <p>
+ 锛�4锛�
+ <math display="0">
+ <mroot>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mn>7</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>4</mn>
+ </mrow>
+ </msup>
+ <mn>4</mn>
+ </mroot>
+ </math>锛涳紙5锛� 81鐨�4娆℃柟鏍�.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛�<math display="0">
+ <mroot>
+ <msup>
+ <mn>5</mn>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mn>3</mn>
+ </mroot>
+ <mo>=</mo>
+ <mn>5</mn>
+ </math>锛�
+ </p>
+ <p>
+ 锛�2锛�
+ <math display="0">
+ <mroot>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mn>5</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mn>3</mn>
+ </mroot>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mn>5</mn>
+ </math>锛�
+ </p>
+ <p>
+ 锛�3锛�
+ <math display="0">
+ <mroot>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mn>7</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>4</mn>
+ </mrow>
+ </msup>
+ <mn>4</mn>
+ </mroot>
+ <mo>=</mo>
+ <mn>7</mn>
+ </math>锛�
+ </p>
+ <p>
+ 锛�4锛�
+ <math display="0">
+ <mroot>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mn>7</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>4</mn>
+ </mrow>
+ </msup>
+ <mn>4</mn>
+ </mroot>
+ <mo>=</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">|</mo>
+ <mo>鈭�</mo>
+ <mn>7</mn>
+ <mo data-mjx-texclass="CLOSE">|</mo>
+ </mrow>
+ <mo>=</mo>
+ <mn>7</mn>
+ </math>锛�
+ </p>
+ <p>
+ 锛�5锛� 鍥犱负锛埪�3锛�<sup>4</sup>=81锛屾墍浠�81鐨�4娆℃柟鏍规槸卤3锛屽嵆<math display="0">
+ <mo>卤</mo>
+ <mroot>
+ <mn>81</mn>
+ <mn>4</mn>
+ </mroot>
+ <mo>=</mo>
+ <mo>卤</mo>
+ <mn>3</mn>
+ </math>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�鍖栫畝.
+ </p>
+ <p>
+ 锛�1锛�
+ <math display="0">
+ <mroot>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mn>3</mn>
+ <mo>鈭�</mo>
+ <mi>a</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mn>3</mn>
+ </mroot>
+ </math>锛涳紙2锛�
+ <math display="0">
+ <mroot>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mn>3</mn>
+ <mo>鈭�</mo>
+ <mrow>
+ <mi>蟺</mi>
+ </mrow>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>4</mn>
+ </mrow>
+ </msup>
+ <mn>4</mn>
+ </mroot>
+ </math>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+ <math display="0">
+ <mroot>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mn>3</mn>
+ <mo>鈭�</mo>
+ <mi>a</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mn>3</mn>
+ </mroot>
+ <mo>=</mo>
+ <mn>3</mn>
+ <mo>鈭�</mo>
+ <mi>a</mi>
+ </math>锛�
+ </p>
+ <p>
+ 锛�2锛�
+ <math display="0">
+ <mroot>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mn>3</mn>
+ <mo>鈭�</mo>
+ <mrow>
+ <mi>蟺</mi>
+ </mrow>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>4</mn>
+ </mrow>
+ </msup>
+ <mn>4</mn>
+ </mroot>
+ <mo>=</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">|</mo>
+ <mn>3</mn>
+ <mo>鈭�</mo>
+ <mrow>
+ <mi>蟺</mi>
+ </mrow>
+ <mo data-mjx-texclass="CLOSE">|</mo>
+ </mrow>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mn>3</mn>
+ <mo>鈭�</mo>
+ <mrow>
+ <mi>蟺</mi>
+ </mrow>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mrow>
+ <mi>蟺</mi>
+ </mrow>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ </math>.
+ </p>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
+ </p>
+ <p>
+ 鍦ㄥ垵涓紝鎴戜滑鏇惧涔犺繃鏁存暟骞傜殑鐩稿叧鐭ヨ瘑.<i>a<sup>n</sup></i>锛�<i>n</i>鈭�<b>N</b><sub>+</sub>锛夌О涓�<i>a</i>鐨�<i>n</i>娆″箓锛�<i>a</i>鍙綔搴曟暟锛�<i>n</i>鍙綔鎸囨暟.
+ </p>
+ <p>
+ 锛�1锛�
+ <math display="0">
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mi>n</mi>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <munder>
+ <mrow data-mjx-texclass="OP">
+ <munder>
+ <mrow>
+ <mi>a</mi>
+ <mo>鈰�</mo>
+ <mi>a</mi>
+ <mo>鈰�</mo>
+ <mi>a</mi>
+ <mo>鈰�</mo>
+ <mo>鈰�</mo>
+ <mo>鈰�</mo>
+ <mi>a</mi>
+ </mrow>
+ <mo>鈴�</mo>
+ </munder>
+ </mrow>
+ <mrow>
+ <mi>n</mi>
+ <mo stretchy="false">鈫�</mo>
+ <mi>a</mi>
+ </mrow>
+ </munder>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>n</mi>
+ <mo>鈭�</mo>
+ <msub>
+ <mrow>
+ <mi mathvariant="bold">N</mi>
+ </mrow>
+ <mrow>
+ <mo>+</mo>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛�
+ </p>
+ <p>锛�2锛� <i>a</i><sup>0</sup>=1锛�<i>a</i>鈮�0锛夛紱</p>
+ <p>
+ 锛�3锛�
+ <math display="0">
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mi>n</mi>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mi>n</mi>
+ </mrow>
+ </msup>
+ </mfrac>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>a</mi>
+ <mo>鈮�</mo>
+ <mn>0</mn>
+ <mo>,</mo>
+ <mi>n</mi>
+ <mo>鈭�</mo>
+ <msub>
+ <mrow>
+ <mi mathvariant="bold">N</mi>
+ </mrow>
+ <mrow>
+ <mo>+</mo>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>.
+ </p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/gn.jpg" />
+ </p>
+ </div>
+ <p class="block">鍒嗘暟鎸囨暟骞�</p>
+ </div>
+ <p>璇曟兂锛屽鏋滃箓鎸囨暟<i>n</i>鏄垎鏁版椂锛屾鏃剁殑鎸囨暟骞傚簲璇ュ浣曡〃绀哄憿锛�</p>
+ <p>
+ 涓烘锛屾垜浠幇灏嗘暣鏁版寚鏁板箓鐨勬蹇佃繘琛屾帹骞匡紝鍒╃敤鍒氬涔犺繃鐨勬牴寮忔潵琛ㄧず鍒嗘暟鎸囨暟骞傦紝瑙勫畾<b>鍒嗘暟鎸囨暟骞�</b>鐨勬剰涔夊涓嬶紙涓虹畝鍖栬璁猴紝鎴戜滑绾﹀畾搴曟暟<i>a</i>锛�0锛�.
+ </p>
+ <math display="block">
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mfrac>
+ <mi>m</mi>
+ <mi>n</mi>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mroot>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mi>m</mi>
+ </mrow>
+ </msup>
+ <mi>n</mi>
+ </mroot>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>a</mi>
+ <mo>></mo>
+ <mn>0</mn>
+ <mo>,</mo>
+ <mi>m</mi>
+ <mo>,</mo>
+ <mi>n</mi>
+ <mo>鈭�</mo>
+ <msub>
+ <mrow>
+ <mi mathvariant="bold">N</mi>
+ </mrow>
+ <mrow>
+ <mo>+</mo>
+ </mrow>
+ </msub>
+ <mo>,</mo>
+ <mi>n</mi>
+ <mo>></mo>
+ <mn>1</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>,</mo>
+ <mi>m</mi>
+ <mo>=</mo>
+ <mn>1</mn>
+ <mtext> 鏃�, 鏈� </mtext>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mi>n</mi>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mroot>
+ <mi>a</mi>
+ <mi>n</mi>
+ </mroot>
+ <mo>.</mo>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>m</mi>
+ <mi>n</mi>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mfrac>
+ <mi>m</mi>
+ <mi>n</mi>
+ </mfrac>
+ </mrow>
+ </msup>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mroot>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mi>m</mi>
+ </mrow>
+ </msup>
+ <mi>n</mi>
+ </mroot>
+ </mfrac>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>a</mi>
+ <mo>></mo>
+ <mn>0</mn>
+ <mo>,</mo>
+ <mi>m</mi>
+ <mo>,</mo>
+ <mi>n</mi>
+ <mo>鈭�</mo>
+ <msub>
+ <mrow>
+ <mi mathvariant="bold">N</mi>
+ </mrow>
+ <mrow>
+ <mo>+</mo>
+ </mrow>
+ </msub>
+ <mo>,</mo>
+ <mi>n</mi>
+ <mo>></mo>
+ <mn>1</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>.</mo>
+ </mtd>
+ </mtr>
+ </mtable>
+ </math>
+ <p>
+ 杩欐牱锛屽箓鎸囨暟鐨勬蹇靛氨浠庢暣鏁版寚鏁板箓鎺ㄥ箍鍒颁簡鏈夌悊鏁版寚鏁板箓.鍙姣忎竴涓湁鐞嗘暟鎸囨暟骞傛湁鎰忎箟锛屾暣鏁版寚鏁板箓鐨勮繍绠楁�ц川瀵规湁鐞嗘暟鎸囨暟骞傚氨鍚屾牱閫傜敤.鍥犳锛屾垜浠垵涓�
+ </p>
+ </div>
</div>
</div>
<!-- 117 -->
<div class="page-box" page="124">
<div v-if="showPageList.indexOf(124) > -1">
-
<ul class="page-header-box">
<li>
<p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
@@ -55,7 +868,355 @@
<p><span>117</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="t0">
+ 瀛︿範杩囩殑鏁存暟鎸囨暟骞傜殑杩愮畻鎬ц川灏卞彲浠ユ帹骞垮埌鏈夌悊鏁版寚鏁板箓.
+ </p>
+ <p>璁�<i>a</i>锛�0锛�<i>b</i>锛�0锛�<i>m</i>锛�<i>n</i>鈭�<b>Q</b>锛屽垯</p>
+ <p>
+ 锛�1锛� <i>a<sup>m</sup> a<sup>n</sup></i>=<i>a<sup>m+n</sup></i>锛�
+ </p>
+ <p>
+ 锛�2锛夛紙<i>a<sup>m</sup></i>锛�<i><sup>n</sup></i>=<i>a<sup>mn</sup></i>锛�
+ </p>
+ <p>
+ 锛�3锛夛紙<i>ab</i>锛�<i><sup>n</sup></i>=<i>a<sup>n</sup> b<sup>n</sup></i>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�3</b></span>銆�灏嗕笅鍒楁牴寮忕敤鍒嗘暟鎸囨暟骞傝〃绀猴紙寮忎腑瀛楁瘝鍧囦负姝ｅ疄鏁帮級.
+ </p>
+ <p>
+ 锛�1锛�
+ <math display="0">
+ <mroot>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mn>4</mn>
+ </mroot>
+ </math>锛涳紙2锛�
+ <math display="0">
+ <mroot>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mn>6</mn>
+ </mroot>
+ </math>锛涳紙3锛�
+ <math display="0">
+ <mfrac>
+ <mn>1</mn>
+ <mroot>
+ <msup>
+ <mn>5</mn>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mn>4</mn>
+ </mroot>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+ <math display="0">
+ <mroot>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mn>4</mn>
+ </mroot>
+ <mo>=</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mfrac>
+ <mn>3</mn>
+ <mn>4</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ </math>锛�
+ </p>
+ <p>
+ 锛�2锛�
+ <math display="0">
+ <mroot>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mn>6</mn>
+ </mroot>
+ <mo>=</mo>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mfrac>
+ <mn>2</mn>
+ <mn>6</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ </math>锛涳紙娉ㄦ剰锛氭澶勪笉鑳藉寲绠�涓�<math display="0">
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ </math>锛�
+ </p>
+ <p>
+ 锛�3锛�
+ <math display="0">
+ <mfrac>
+ <mn>1</mn>
+ <mroot>
+ <msup>
+ <mn>5</mn>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mn>4</mn>
+ </mroot>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <msup>
+ <mn>5</mn>
+ <mrow>
+ <mfrac>
+ <mn>3</mn>
+ <mn>4</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ </mfrac>
+ <mo>=</mo>
+ <msup>
+ <mn>5</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mn>4</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ </math>
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�4</b></span>銆�鍖栫畝锛堝紡涓瓧姣嶅潎涓烘瀹炴暟锛�.
+ </p>
+ <p>
+ 锛�1锛�<math display="0">
+ <msup>
+ <mn>27</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ </math>锛涳紙2锛�
+ <math display="0">
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mn>4</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>8</mn>
+ </mrow>
+ </msup>
+ </math>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛�<math display="0">
+ <msup>
+ <mn>27</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <msup>
+ <mn>27</mn>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mroot>
+ <mn>27</mn>
+ <mn>3</mn>
+ </mroot>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ </math>锛�
+ </p>
+ <p>
+ 锛�2锛�<math display="0">
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mn>4</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>8</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>8</mn>
+ </mrow>
+ </msup>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mn>4</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>8</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mn>4</mn>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>6</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mfrac>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mn>4</mn>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mn>6</mn>
+ </mrow>
+ </msup>
+ </mfrac>
+ </math>.
+ </p>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
+ </p>
+ <div class="bj">
+ <examinations :cardList="questionData[124]" :hideCollect="true" sourceType="json" v-if="questionData">
+ </examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 118 -->
@@ -66,14 +1227,111 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
-
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c035">4.1.2 瀹炴暟鎸囨暟骞�<span class="fontsz2">锛烇紴锛�</span></h3>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/wttc.jpg" />
+ </p>
+ <p>
+ 灏忓鎴戜滑瀛︿範浜嗚嚜鐒舵暟锛屽垵涓粠鑷劧鏁版嫇灞曞埌鏁存暟銆佹湁鐞嗘暟涔冭嚦瀹炴暟.绫讳技鍦帮紝鍦ㄥ涔犳湁鐞嗘暟鎸囨暟骞傜殑鍩虹涓婏紝鎴戜滑鍙互灏�<i>a<sup>x</sup></i>涓寚鏁�<i>x</i>鐨勫彇鍊艰寖鍥翠粠鏈夌悊鏁版嫇灞曞埌鍏ㄤ綋瀹炴暟锛屾鏃讹紝<i>a<sup>x</sup></i>鐨勬剰涔夋槸浠�涔堝憿锛熷<math
+ display="0">
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ </mrow>
+ </msup>
+ </math>锛�<math display="0">
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>4</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <msqrt>
+ <mn>2</mn>
+ </msqrt>
+ </mrow>
+ </msup>
+ </math>锛屽畠浠槸涓�涓‘瀹氱殑鏁板悧锛熻兘鍚﹁绠楀嚭缁撴灉鍛紵
+ </p>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
+ </p>
+ <p>
+ 瀹炴暟鎸囨暟骞� 浜嬪疄涓婏紝鎴戜滑鍙互閫氳繃绉戝璁＄畻鍣ㄨ绠楀嚭<math display="0">
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ </mrow>
+ </msup>
+ </math>锛�<math display="0">
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>4</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <msqrt>
+ <mn>2</mn>
+ </msqrt>
+ </mrow>
+ </msup>
+ </math>鐨勫�硷紙璇峰悓瀛︿滑鑷繁鍒╃敤绉戝璁＄畻鍣ㄦ垨涓嬭浇璁＄畻鏈鸿蒋浠惰繘琛岃绠楋級.濡傛灉绮剧‘鍒�0.01鏃讹紝<math display="0">
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ </mrow>
+ </msup>
+ </math>鐨勮繎浼煎�间负3.32锛�<math display="0">
+ <msup>
+ <mfrac>
+ <mn>1</mn>
+ <mn>4</mn>
+ </mfrac>
+ <mrow>
+ <msqrt>
+ <mn>2</mn>
+ </msqrt>
+ </mrow>
+ </msup>
+ </math>鐨勮繎浼煎�间负0.14锛屽嵆琛ㄦ槑杩欎簺鏃犵悊鏁版寚鏁板箓閮芥槸涓�涓‘瀹氱殑瀹炴暟.杩欐牱锛屾垜浠皢鎸囨暟骞�<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛変腑鎸囨暟<i>x</i>鐨勫彇鍊艰寖鍥翠粠鏁存暟閫愭鎷撳睍鍒版湁鐞嗘暟銆佹棤鐞嗘暟锛屼箖鑷冲疄鏁�.褰�<i>x</i>涓轰换鎰忓疄鏁版椂锛�<b>瀹炴暟鎸囨暟骞�</b><i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛夎〃绀轰竴涓‘瀹氬疄鏁�.鐜板疄鐢熸椿涓紝鎴戜滑閫氳繃绫绘瘮銆佽仈鎯炽�佺寽鎯崇瓑鏂瑰紡鍙垱鏂拌璁″嚭寰堝涓嶅悓鐨勪簨鐗╁拰妯″紡.
+ </p>
+ <p>
+ 鏈夌悊鏁版寚鏁板箓鐨勮繍绠楁�ц川鍚屾牱閫傜敤浜庡疄鏁版寚鏁板箓鐨勮繍绠楁�ц川锛堣瘉鏄庣暐锛夛紝鍗冲綋<i>a</i>锛�0锛�<i>b</i>锛�0锛�<i>p</i>锛�<i>q</i>鈭�<b>R</b>鏃讹紝鏈�
+ </p>
+ <p>
+ 锛�1锛� <i>a<sup>p</sup> a<sup>q</sup></i>=<i>a<sup>p+q</sup></i>锛�
+ </p>
+ <p>
+ 锛�2锛夛紙<i>a<sup>p</sup></i>锛�<i><sup>q</sup></i>=<i>a<sup>pq</sup></i>锛�
+ </p>
+ <p>
+ 锛�3锛夛紙<i>ab</i>锛�<i><sup>p</sup></i>=<i>a<sup>p</sup> b<sup>p</sup></i>.
+ </p>
+ <p>娉ㄦ剰锛氳繍绠楁�ц川鎴愮珛鐨勬潯浠舵槸姣忎釜瀹炴暟鎸囨暟骞傞兘鏈夋剰涔�.</p>
+ </div>
</div>
</div>
<!-- 119 -->
<div class="page-box" page="126">
<div v-if="showPageList.indexOf(126) > -1">
-
<ul class="page-header-box">
<li>
<p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
@@ -82,25 +1340,1115 @@
<p><span>119</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 瀵逛緥1锛�1锛�
+ 棰橈紝鎴戜滑闇�瑕佸皢鏌愪簺搴曟暟鍙樺舰涓烘寚鏁板箓鐨勫舰寮忥紝浠ユ柟渚垮埄鐢ㄥ疄鏁版寚鏁板箓鐨勮繍绠楁硶鍒欒繘琛岃绠楁垨鑰呭寲绠�.
+ </p>
+ </div>
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�璁＄畻锛堝紡涓瓧姣嶅潎涓烘瀹炴暟锛�.
+ </p>
+ <p>
+ 锛�1锛�<math display="0">
+ <msup>
+ <mn>16</mn>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>4</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>鈭�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mfrac>
+ <mn>1</mn>
+ <mn>27</mn>
+ </mfrac>
+ <mrow>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>+</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">锛�</mo>
+ <msqrt>
+ <mn>2</mn>
+ </msqrt>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ <mo data-mjx-texclass="CLOSE">锛�</mo>
+ </mrow>
+ <mrow>
+ <mn>0</mn>
+ </mrow>
+ </msup>
+ </math>锛涳紙2锛�
+ <math display="0">
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mn>5</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>5</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>鈰�</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>5</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>梅</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mfrac>
+ <mn>5</mn>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mfrac>
+ <mn>3</mn>
+ <mn>5</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ </math>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mtext>锛�1锛�</mtext>
+ <msup>
+ <mn>16</mn>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>4</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>鈭�</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>27</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <mo stretchy="false">(</mo>
+ <msqrt>
+ <mn>2</mn>
+ </msqrt>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ <msup>
+ <mo stretchy="false">)</mo>
+ <mrow>
+ <mn>0</mn>
+ </mrow>
+ </msup>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mo>=</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>4</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>4</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>鈭�</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">[</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">]</mo>
+ </mrow>
+ <mrow>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <mn>1</mn>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mo>=</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>4</mn>
+ <mo>脳</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>4</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>鈭�</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>3</mn>
+ <mo>脳</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <mn>1</mn>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mo>=</mo>
+ <mn>2</mn>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mo>+</mo>
+ <mn>1</mn>
+ <mo>=</mo>
+ <mn>0</mn>
+ <mo>;</mo>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mtext>锛�2锛�</mtext>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mn>5</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>5</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>鈰�</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>5</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>梅</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mfrac>
+ <mn>5</mn>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mfrac>
+ <mn>3</mn>
+ <mn>5</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mo>=</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mo>脳</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>5</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mn>5</mn>
+ <mo>脳</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>5</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mn>2</mn>
+ <mo>脳</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>5</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>梅</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mn>3</mn>
+ <mo>脳</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mn>5</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mfrac>
+ <mn>5</mn>
+ <mn>3</mn>
+ </mfrac>
+ <mo>脳</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mn>5</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mo>=</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mn>5</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mfrac>
+ <mn>2</mn>
+ <mn>5</mn>
+ </mfrac>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>9</mn>
+ <mn>5</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mn>1</mn>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ </mrow>
+ </msup>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mo>=</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </mfrac>
+ <mo>.</mo>
+ </mtd>
+ </mtr>
+ </mtable>
+ </math>
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�鍖栫畝锛堝紡涓瓧姣嶅潎涓烘瀹炴暟锛�.
+ </p>
+ <p>
+ 锛�1锛�
+ <math display="0">
+ <msqrt>
+ <mn>2</mn>
+ </msqrt>
+ <mo>脳</mo>
+ <mroot>
+ <mn>8</mn>
+ <mn>4</mn>
+ </mroot>
+ <mo>脳</mo>
+ <mroot>
+ <mn>64</mn>
+ <mn>8</mn>
+ </mroot>
+ </math>锛涳紙2锛�
+ <math display="0">
+ <msqrt>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ </msqrt>
+ <mo>路</mo>
+ <mroot>
+ <mrow>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </mrow>
+ <mn>3</mn>
+ </mroot>
+ <mo>路</mo>
+ <mroot>
+ <mrow>
+ <mi>a</mi>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mn>5</mn>
+ </mrow>
+ </msup>
+ </mrow>
+ <mn>6</mn>
+ </mroot>
+ </math>.
+ </p>
+ <p class="block">
+ <span class="zt-ls2"><b>鍒嗘瀽</b></span>銆�杩愮畻鎬濊矾鏄皢鏍瑰紡杞寲涓哄垎鏁版寚鏁板箓锛岀劧鍚庡啀鍖栫畝杩愮畻.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ </p>
+ <math display="">
+ <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mo stretchy="false">锛�1锛�</mo>
+ <msqrt>
+ <mn>2</mn>
+ </msqrt>
+ <mo>脳</mo>
+ <mroot>
+ <mn>8</mn>
+ <mn>4</mn>
+ </mroot>
+ <mo>脳</mo>
+ <mroot>
+ <mn>64</mn>
+ <mn>8</mn>
+ </mroot>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mo>=</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>脳</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>4</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>脳</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>6</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>8</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mo>=</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>脳</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mfrac>
+ <mn>3</mn>
+ <mn>4</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>脳</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mfrac>
+ <mn>6</mn>
+ <mn>8</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mo>=</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mn>4</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mfrac>
+ <mn>6</mn>
+ <mn>8</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mn>4</mn>
+ <mo>;</mo>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mtext>锛�2锛�</mtext>
+ <msqrt>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ </msqrt>
+ <mo>鈰�</mo>
+ <mroot>
+ <mrow>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </mrow>
+ <mn>3</mn>
+ </mroot>
+ <mo>鈰�</mo>
+ <mroot>
+ <mrow>
+ <mi>a</mi>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mn>5</mn>
+ </mrow>
+ </msup>
+ </mrow>
+ <mn>6</mn>
+ </mroot>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mo>=</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>鈰�</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>鈰�</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>a</mi>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mn>5</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>6</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mo>=</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mfrac>
+ <mn>3</mn>
+ <mn>2</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mn>2</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>鈰�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>2</mn>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mfrac>
+ <mn>2</mn>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>鈰�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>6</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mfrac>
+ <mn>5</mn>
+ <mn>6</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mo>=</mo>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mfrac>
+ <mn>3</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>2</mn>
+ <mn>3</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>6</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>鈰�</mo>
+ <msup>
+ <mi>b</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mfrac>
+ <mn>2</mn>
+ <mn>3</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mfrac>
+ <mn>5</mn>
+ <mn>6</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mi>a</mi>
+ <mo>.</mo>
+ </mtd>
+ </mtr>
+ </mtable>
+ </math>
+ </div>
</div>
</div>
<!-- 120 -->
<div class="page-box" page="127">
<div v-if="showPageList.indexOf(127) > -1">
-
<ul class="page-header-odd fl al-end">
<li>120</li>
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ <span class="zt-ls"><b>渚�3</b></span>銆�璁＄畻
+ 2<sup>0</sup>+2<sup>1</sup>+2<sup>2</sup>+2<sup>3</sup>+鈥�+2<i><sup>x</sup></i>锛�<i>x</i>鈭�<b>N</b>锛�.
+ </p>
+ <p class="block">
+ <span
+ class="zt-ls2"><b>鍒嗘瀽</b></span>銆�瑙傚療杩欎釜寮忓瓙鐨勭壒鐐癸紝姣忎竴椤归兘鏄墠闈竴椤圭殑2鍊嶏紙闄ょ1椤瑰锛夛紱杩愮畻鎬濊矾鍙�冭檻灏嗕唬鏁板紡姣忛」涔�2鍚庡啀涓庡師寮忕浉鍑�.鏁板涓婃妸杩欑杩愮畻鏂规硶鍙綔鈥滈敊浣嶇浉鍑忊��.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 浠�
+ </p>
+ <math display="block">
+ <mi>S</mi>
+ <mo>=</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>0</mn>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>1</mn>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <mo>鈥�</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </msup>
+ <mo>.</mo>
+ </math>
+ <p class="right">鈶�</p>
+ <p>灏嗏憼寮忎袱杈瑰悓鏃朵箻2锛屽緱</p>
+ <math display="block">
+ <mn>2</mn>
+ <mi>S</mi>
+ <mo>=</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>1</mn>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <mo>鈥�</mo>
+ <mo>+</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mn>1</mn>
+ </mrow>
+ </msup>
+ <mo>.</mo>
+ </math>
+ <p class="right">鈶�</p>
+ <p>鐢ㄢ憽寮忓噺鈶犲紡鍙緱</p>
+ <p>
+ 2<i>S</i>-<i>S</i>=锛�2<sup>1</sup>+2<sup>2</sup>+2<sup>3</sup>+鈥�+2<i><sup>x</sup></i>+2<i><sup>x</sup></i><sup>+1</sup>锛�-锛�2<sup>0</sup>+2<sup>1</sup>+2<sup>2</sup>+2<sup>3</sup>+鈥�+2<i><sup>x</sup></i><sup>-1</sup>+2<i><sup>x</sup></i>锛夛紝
+ </p>
+ <p>
+ 鍗�<i>S</i>=2<i><sup>x+1</sup></i>-1锛�
+ </p>
+ <p>
+ 鎵�浠ワ紝銆�2<sup>0</sup>+2<sup>1</sup>+2<sup>2</sup>+2<sup>3</sup>+鈥�+2<i><sup>x</sup></i>=2<i><sup>x+1</sup></i>-1.
+ </p>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
+ </p>
+ <div class="bj">
+ <examinations :cardList="questionData[127]" :hideCollect="true" sourceType="json" v-if="questionData">
+ </examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 121 -->
<div class="page-box" page="128">
<div v-if="showPageList.indexOf(128) > -1">
-
<ul class="page-header-box">
<li>
<p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
@@ -109,7 +2457,76 @@
<p><span>121</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c036">涔犻4.1<span class="fontsz2">锛烇紴锛�</span></h3>
+ <div class="bj">
+ <examinations :cardList="questionData[128]" :hideCollect="true" sourceType="json" v-if="questionData">
+ </examinations>
+ </div>
+ <h2 id="b023">
+ 4.2 鎸囨暟鍑芥暟<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+ </h2>
+ <h3 id="c037">
+ 4.2.1 鎸囨暟鍑芥暟鐨勫畾涔変笌鍥惧儚<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" />
+ </p>
+ <p>
+ 鎯呭1锛氥�婂簞瀛惵峰ぉ涓嬬瘒銆嬩腑鏈変竴娈佃剭鐐欎汉鍙ｇ殑璇濓細鈥滀竴灏轰箣妫帮紝鏃ュ彇鍏跺崐锛屼竾涓栦笉绔�.鈥濊繖閲岀殑鈥滀竴灏轰箣妫扳�濓紝鍗充竴灏猴紙闀垮害鍗曚綅锛�1灏虹害鍚�0.33
+ m锛夐暱鐨勬湪妫嶏紝鈥滄棩鍙栧叾鍗娾�濆嵆姣忓ぉ鍙栧畠鐨勪竴鍗�.鑻ヤ竴鐩粹�滄棩鍙栧叾鍗娾�濓紝鍒欐瘡澶╁墿涓嬬殑鏈ㄦ闀垮害灏辨槸涓嬮潰鐨勪竴鍒楁暟瀛�.
+ </p>
+ <math display="block">
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo>,</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>,</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mo>,</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>4</mn>
+ </mrow>
+ </msup>
+ <mo>,</mo>
+ <mo>鈰�</mo>
+ </math>
+ </div>
</div>
</div>
<!-- 122 -->
@@ -120,13 +2537,194 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ 璁板彇鍒扮<i>x</i>澶╂椂鍓╀笅鐨勯暱搴︿负<i>y</i>锛岄偅涔�<i>y</i>涓�
+ <i>x</i>鐨勫嚱鏁板叧绯绘槸
+ </p>
+ <math display="block">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </msup>
+ <mo>.</mo>
+ </math>
+ <p class="right">鈶�</p>
+ <p>
+ 鍏朵腑鎸囨暟<i>x</i>鏄嚜鍙橀噺锛屽畾涔夊煙鏄�<i>x</i>鈭�<b>N</b><sub>+</sub>.
+ </p>
+ <p>
+ 鎯呭2锛氱粏鑳炴瘡鍒嗚1娆″叾鏁伴噺鍙樹负鍘熸潵鐨勪袱鍊嶏紝鍒欐瘡娆″垎瑁傚悗鐨勭粏鑳炴暟閲忚琛�4-1.
+ </p>
+ <p class="img">琛�4-1</p>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0133-2.jpg" />
+ </p>
+ <p>
+ 濡傛灉璁剧粏鑳炲垎瑁傜殑娆℃暟涓�<i>x</i>锛屽搴斿垎瑁傚悗鐨勭粏鑳炴暟閲忎负<i>y</i>锛岄偅涔�<i>y</i>涓�<i>x</i>鐨勫嚱鏁板叧绯绘槸
+ </p>
+ <math display="block">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mn>2</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </msup>
+ <mo>.</mo>
+ </math>
+ <p class="right">鈶�</p>
+ <p>
+ 鍏朵腑鎸囨暟<i>x</i>鏄嚜鍙橀噺锛屽畾涔夊煙鏄�<i>x</i>鈭�<b>N</b><sub>+</sub>.
+ </p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/gn.jpg" />
+ </p>
+ </div>
+ <p class="block">鎸囨暟鍑芥暟</p>
+ </div>
+ <p>
+ 濡傛灉鐢ㄥ瓧姣�<i>a</i>浠ｆ浛涓婅堪鈶犫憽涓ゅ紡涓殑搴曟暟<math display="0">
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>鍜�2锛岄偅涔堝嚱鏁�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </msup>
+ </math>鍜� <i>y</i>=2<i><sup>x</sup></i>灏卞彲浠ヨ〃绀轰负
+ </p>
+ <p class="center">
+ <i>y</i>=<i>a<sup>x</sup></i>
+ </p>
+ <p>
+ 鐨勫舰寮忥紝鍏朵腑鎸囨暟<i>x</i>鏄嚜鍙橀噺锛屽簳鏁�<i>a</i>鏄竴涓ぇ浜�0涓斾笉绛変簬
+ 1鐨勫父閲�.
+ </p>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
+ </p>
+ <p>
+ 涓�鑸湴锛屽舰濡�<i>y</i>=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍑芥暟鍙綔<b>鎸囨暟鍑芥暟</b>锛屽叾涓寚鏁�<i>x</i>鏄嚜鍙橀噺锛屽畾涔夊煙鏄�<b>R</b>.
+ </p>
+ <p>
+ <b>渚�</b> 宸茬煡鎸囨暟鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夛紝涓�<i>f</i>锛�3锛�=125.
+ </p>
+ <p>锛�1锛� 姹傚嚱鏁�<i>f</i>锛�<i>x</i>锛夌殑瑙ｆ瀽寮忥紱</p>
+ <p>
+ 锛�2锛� 姹�<i>f</i>锛�0锛夛紝<i>f</i>锛�2锛夛紝<i>f</i>锛�-2锛夛紝<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>鐨勫��.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+ 鍥犱负<i>f</i>锛�<i>x</i>锛�=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夛紝涓�<i>f</i>锛�3锛�=125锛屾墍浠�<i>a</i><sup>3</sup>=125锛岃В寰�<i>a</i>=5锛屼簬鏄�<i>f</i>锛�<i>x</i>锛�=5<i><sup>x</sup></i>.
+ </p>
+ <p>
+ 锛�2锛�
+ <i>f</i>锛�0锛�=5<sup>0</sup>=1锛�<i>f</i>锛�2锛�=5<sup>2</sup>=25锛�<math display="0">
+ <mi>f</mi>
+ <mo>鈭�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <msup>
+ <mn>5</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <msup>
+ <mn>5</mn>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>25</mn>
+ </mfrac>
+ </math>锛�<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <msup>
+ <mn>5</mn>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <msqrt>
+ <mn>5</mn>
+ </msqrt>
+ </math>.
+ </p>
+ </div>
</div>
</div>
<!-- 123 -->
<div class="page-box" page="130">
<div v-if="showPageList.indexOf(130) > -1">
-
<ul class="page-header-box">
<li>
<p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
@@ -135,7 +2733,78 @@
<p><span>123</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bk-hzjl">
+ <div class="bj1-hzjl">
+ <p class="left">
+ <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
+ </p>
+ </div>
+ <examinations :cardList="questionData[130]" :hideCollect="true" sourceType="json" v-if="questionData">
+ </examinations>
+ </div>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/zshg.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 鍒濅腑鎴戜滑瀛︿範浜嗘姣斾緥鍑芥暟銆佸弽姣斾緥鍑芥暟鍜屼簩娆″嚱鏁帮紝閫氳繃鎻忕偣娉曠敾鍑哄畠浠殑鍥惧儚鍒嗗埆鏄洿绾裤�佸弻鏇茬嚎鍜屾姏鐗╃嚎锛堝鍥�4-1鎵�绀猴級.鎴戜滑鍙被姣斿�熼壌瀛︿範涓婅堪鍑芥暟鐨勭粡楠岋紝鐢诲嚭鎸囨暟鍑芥暟鐨勫浘鍍忥紝鍐嶅埄鐢ㄥ浘鍍忎笌瑙ｆ瀽寮忥紝鐮旂┒鍏跺崟璋冩�с�佸鍋舵�х瓑.
+ </p>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0134-3.jpg" />
+ </p>
+ <p class="img">鍥�4-1</p>
+ </div>
+ <p><b>绫绘瘮褰掔撼</b></p>
+ <p>
+ 涓庡垵涓敾浜屾鍑芥暟鍥惧儚涓�鏍凤紝涔熷彲鐢ㄦ弿鐐规硶鐢诲嚭鎸囨暟鍑芥暟鐨勫浘鍍�.涓嬮潰鎴戜滑浠�<i>y</i>=2<i><sup>x</sup></i>鍜�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </msup>
+ </math>涓轰緥锛岀敾鍑哄叾鍑芥暟鍥惧儚.
+ </p>
+ <p>绗竴姝ワ細鍒楄〃锛堝琛�4-2鎵�绀猴級.</p>
+ <p class="img">琛�4-2</p>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0134-5.jpg" />
+ </p>
+ <p>
+ 绗簩姝ワ細鎻忕偣锛屽苟涓旂敤鍏夋粦鐨勬洸绾胯繛鎺ユ墍鎻忕殑鐐癸紝鐢诲嚭瀹冧滑鐨勫浘鍍忥紙濡傚浘4-2鎵�绀猴級.
+ </p>
+ <p>
+ 鍒╃敤鐩稿悓鏂规硶锛屾垜浠繕鍙互鍦ㄥ悓涓�骞抽潰鐩磋鍧愭爣绯讳腑鐢诲嚭<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>2</mn>
+ <mn>5</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </msup>
+ </math>锛�
+ </p>
+ </div>
</div>
</div>
<!-- 124 -->
@@ -146,14 +2815,127 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </msup>
+ </math>锛� <i>y</i>=2.3<i><sup>x</sup></i>锛�<i>y</i>=3<i><sup>x</sup></i>鐨勫浘鍍忥紝濡傚浘4-3鎵�绀�.
+ <ul class="fl">
+ <li style="margin-top: 30px">
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0135-2.jpg" />
+ </p>
+ <p class="img">鍥�4-2</p>
+ </li>
+ <li>
+ <p class="center">
+ <img class="img-b" alt="" src="../../assets/images/0135-3.jpg" />
+ </p>
+ <p class="img">鍥�4-3</p>
+ </li>
+ </ul>
+ <h3 id="c038">
+ 4.2.2 鎸囨暟鍑芥暟鐨勬�ц川<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" />
+ </p>
+ <p>
+ 瑙傚療鎸囨暟鍑芥暟鐨勫浘鍍忥紝鎻忚堪杩欎簺鍥惧儚鍦ㄤ綅缃�佸叕鍏辩偣鍜屽彉鍖栬秼鍔跨瓑鏂归潰鐨勫叡鎬х壒寰�.
+ </p>
+ <p>
+ 锛�1锛� 鍥句腑鎵�鏈夋寚鏁板嚱鏁板浘鍍忓潎鍦�<i>x</i>杞寸殑涓婃柟锛�<b>浣嶇疆鐗瑰緛</b>锛夛紱
+ </p>
+ <p>
+ 锛�2锛� 鍥句腑鎵�鏈夋寚鏁板嚱鏁板浘鍍忛兘缁忚繃瀹氱偣锛�0锛�1锛夛紙<b>鍏叡鐐圭壒寰�</b>锛夛紱
+ </p>
+ <p>
+ 锛�3锛�
+ 鍦ㄥ畾涔夊煙鍐咃紝鎸囨暟鍑芥暟<i>y</i>=2<i><sup>x</sup></i>锛�<i>y</i>=2.3<i><sup>x</sup></i>锛�<i>y</i>=3<i><sup>x</sup></i>鍥惧儚浠庡乏鍚戝彸鍒嗗埆閫愭笎涓婂崌锛屽湪绗簩璞￠檺鍐呭悜宸︿笌<i>x</i>杞存棤闄愭帴杩戯紱鎸囨暟鍑芥暟<math
+ display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </msup>
+ </math>锛�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>2</mn>
+ <mn>5</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </msup>
+ </math>锛�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </msup>
+ </math>鍥惧儚浠庡乏鍚戝彸鍒嗗埆閫愭笎涓嬮檷锛屽湪绗竴璞￠檺鍐呭悜鍙充笌<i>x</i>杞存棤闄愭帴杩戯紙<b>鍙樺寲瓒嬪娍鐗瑰緛</b>锛�.
+ </p>
+ <p>
+ 鎴戜滑瑙傚療鍒嗘瀽鍙戠幇锛屾寚鏁板嚱鏁�<i>y</i>=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍥惧儚鎸夊簳鏁�<i>a</i>鐨勫彇鍊硷紝鍙垎涓�0锛�<i>a</i>锛�1鍜�<i>a</i>锛�1涓ょ绫诲瀷.
+ </p>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
+ </p>
+ <p>
+ 涓�鑸湴锛屾寚鏁板嚱鏁�<i>y</i>=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夊叿鏈変笅鍒楁�ц川.
+ </p>
+ <p>锛�1锛� 鍑芥暟鐨勫畾涔夊煙涓�<i>R</i>锛屽�煎煙涓猴紙0锛�+鈭烇級锛�</p>
+ <p>锛�2锛� 褰�<i>x</i>=0鏃讹紝鍑芥暟鍊�<i>y</i>=1锛�</p>
+ <p>
+ 锛�3锛�
+ 褰�<i>a</i>锛�1鏃讹紝鍑芥暟鍦紙-鈭烇紝+鈭烇級鍐呮槸澧炲嚱鏁帮紱褰�0锛�<i>a</i>锛�1鏃讹紝鍑芥暟鍦紙-鈭烇紝+鈭烇級鍐呮槸鍑忓嚱鏁�.
+ </p>
+ </div>
</div>
</div>
<!-- 125 -->
<div class="page-box" page="132">
<div v-if="showPageList.indexOf(132) > -1">
-
-
<ul class="page-header-box">
<li>
<p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
@@ -162,7 +2944,51 @@
<p><span>125</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ 鎸囨暟鍑芥暟<i>y</i>=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍥惧儚鍜屾�ц川鍙互鎬荤粨濡傝〃4-3鎵�绀�.
+ </p>
+ <p class="img">琛�4-3</p>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0136-1.jpg" />
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�鍒ゆ柇涓嬪垪鍑芥暟鍝簺鏄寚鏁板嚱鏁帮紝骞剁敾鍑哄嚱鏁板浘鍍忛獙璇�.
+ </p>
+ <p>
+ 锛�1锛� <i>y</i>=0.5<i><sup>x</sup></i>锛涳紙2锛� <i>y</i>=2脳3<i><sup>x</sup></i>锛涳紙3锛� <i>y</i>=<i>x</i><sup>2</sup>.
+ </p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 鍑芥暟<i>y</i>=2脳3<i><sup>x</sup></i>
+ </p>
+ <p class="block">
+ 鍦ㄥ舰寮忎笂涓庢寚鏁板嚱鏁扮浉浼硷紝浣嗕笉绗﹀悎鎸囨暟鍑芥暟鐨勫畾涔夛紝鎴戜滑浠庡叾鍑芥暟鍥惧儚鍙互鐪嬪埌娌℃湁杩囧畾鐐癸紙0锛�1锛�.
+ </p>
+ </div>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ 渚濇嵁鎸囨暟鍑芥暟<i>y</i>=<i>a<sup>x</sup></i>鐨勫畾涔夛紝<i>y</i>=0.5<i><sup>x</sup></i>鏄寚鏁板嚱鏁帮紝<i>y</i>=2脳3<i><sup>x</sup></i>鍜�<i>y</i>=<i>x</i><sup>2</sup>涓嶆槸鎸囨暟鍑芥暟.鐢诲嚭鍑芥暟鍥惧儚锛堝鍥�4-4鎵�绀猴級锛屽嚱鏁�<i>y</i>=0.5<i><sup>x</sup></i>鐨勫浘鍍忕鍚堟寚鏁板嚱鏁板浘鍍忕殑鐗瑰緛锛涘嚱鏁�<i>y</i>=2脳3<i><sup>x</sup></i>鐨勫浘鍍忚櫧涓庢寚鏁板嚱鏁板浘鍍忓緢鐩镐技锛屼絾骞舵病鏈夎繃瀹氱偣锛�0锛�1锛夛紱鍑芥暟<i>y</i>=<i>x</i><sup>2</sup>鐨勫浘鍍忔槸浜屾鍑芥暟鐨勫浘鍍�.
+ </p>
+ <p class="center">
+ <img class="img-b" alt="" src="../../assets/images/0136-2.jpg" />
+ </p>
+ <p class="img">鍥�4-4</p>
+ <div class="bk-hzjl">
+ <div class="bj1-hzjl">
+ <p class="left">
+ <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
+ </p>
+ </div>
+ <examinations :cardList="questionData[131]" :hideCollect="true" sourceType="json" v-if="questionData">
+ </examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 126 -->
@@ -173,13 +2999,214 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�鍒ゆ柇涓嬪垪鍑芥暟鍦紙-鈭烇紝+鈭烇級鍐呯殑鍗曡皟鎬�.
+ </p>
+ <p>
+ 锛�1锛� <i>y</i>=4<i><sup>x</sup></i>锛涳紙2锛� <i>y</i>=3<i><sup>-x</sup></i>锛涳紙3锛�
+ <math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mfrac>
+ <mi>x</mi>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ </math>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负4锛�1 锛� 鎵�浠�<i>y</i>=4<i><sup>x</sup></i>鍦紙-鈭烇紝+鈭烇級鍐呮槸澧炲嚱鏁帮紙濡傚浘4-5鎵�绀猴級.
+ </p>
+ <p>
+ 锛�2锛�
+ <math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msup>
+ <mn>3</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ <mi>x</mi>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mn>3</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </msup>
+ </math>锛屽洜涓�<math display="0">
+ <mn>0</mn>
+ <mo>锛�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ <mo>锛�</mo>
+ <mn>1</mn>
+ </math>锛屾墍浠�<i>y</i>=3<i><sup>-x</sup></i>鍦紙-鈭烇紝+鈭烇級鍐呮槸鍑忓嚱鏁帮紙濡傚浘4-6鎵�绀猴級.
+ </p>
+ <p>
+ 锛�3锛�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mfrac>
+ <mi>x</mi>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mo stretchy="false">(</mo>
+ <mroot>
+ <mn>2</mn>
+ <mn>3</mn>
+ </mroot>
+ <msup>
+ <mo stretchy="false">)</mo>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </msup>
+ </math>锛屽洜涓�<math display="0">
+ <mroot>
+ <mn>2</mn>
+ <mn>3</mn>
+ </mroot>
+ <mo>锛�</mo>
+ <mn>1</mn>
+ </math>锛屾墍浠�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mfrac>
+ <mi>x</mi>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ </math>鍦紙-鈭烇紝+鈭烇級鍐呮槸澧炲嚱鏁帮紙濡傚浘4-7鎵�绀猴級.
+ </p>
+ <ul class="fl">
+ <li>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0137-7.jpg" />
+ </p>
+ <p class="img">鍥�4-5</p>
+ </li>
+ <li>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0137-8.jpg" />
+ </p>
+ <p class="img">鍥�4-6</p>
+ </li>
+ <li>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0137-9.jpg" />
+ </p>
+ <p class="img">鍥�4-7</p>
+ </li>
+ </ul>
+ <p>
+ <span class="zt-ls"><b>渚�3</b></span>銆�姣旇緝涓嬪垪鍚勯涓袱涓�肩殑澶у皬.
+ </p>
+ <p>
+ 锛�1锛� 1.8<sup>2.5</sup>涓�1.8<sup>3</sup>锛涳紙2锛�
+ 0.9<sup>-0.2</sup>涓�0.9<sup>-0.3</sup>.
+ </p>
+ <p class="block">
+ <span
+ class="zt-ls2"><b>鍒嗘瀽</b></span>銆�1.8<sup>2.5</sup>鍜�1.8<sup>3</sup>鍒嗗埆鍙互鐪嬩綔<i>y</i>=1.8<i><sup>x</sup></i>鍦�<i>x</i>=2.5鍜�<i>x</i>=3澶勭殑鍑芥暟鍊硷紝杩欐牱灏卞彲浠ュ埄鐢ㄥ嚱鏁扮殑鍗曡皟鎬ф潵姣旇緝鍑芥暟鍊肩殑澶у皬.0.9<sup>-0.2</sup>鍜�0.9<sup>-0.3</sup>鍒嗗埆鍙互鐪嬩綔<i>y</i>=0.9<i><sup>x</sup></i>鍦�<i>x</i>=-0.2鍜�<i>x</i>=-0.3澶勭殑鍑芥暟鍊硷紝鍚屾牱鍙互鍒╃敤鍑芥暟鐨勫崟璋冩�ф潵姣旇緝鍑芥暟鍊肩殑澶у皬.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负<i>y</i>=1.8<i><sup>x</sup></i>鏄�<b>R</b>涓婄殑澧炲嚱鏁帮紝涓�2.5锛�3锛屾墍浠�
+ </p>
+ <p class="center">1.8<sup>2.5</sup>锛�1.8<sup>3</sup>.</p>
+ <p>
+ 锛�2锛� 鍥犱负<i>y</i>=0.9<i><sup>x</sup></i>鏄�<b>R</b>涓婄殑鍑忓嚱鏁帮紝涓�-0.2锛�-0.3锛屾墍浠�
+ </p>
+ <p class="center">0.9<sup>-0.2</sup>锛�0.9<sup>-0.3</sup>.</p>
+ <p>
+ <span class="zt-ls"><b>渚�4</b></span>銆�姹傚嚱鏁�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msqrt>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mi>x</mi>
+ </mrow>
+ </msup>
+ <mo>鈭�</mo>
+ <mn>4</mn>
+ </msqrt>
+ </math>鐨勫畾涔夊煙.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ 瑕佷娇鍑芥暟鏈夋剰涔夛紝蹇呴』婊¤冻2<i><sup>x</sup></i>-4鈮�0锛屽嵆2<i><sup>x</sup></i>鈮�4锛屽張鍥犱负<i>y</i>=2<i><sup>x</sup></i>鏄鍑芥暟锛屾墍浠�<i>x</i>鈮�2.
+ </p>
+ <p>鏁呭嚱鏁扮殑瀹氫箟鍩熶负2锛�+鈭烇級.</p>
+ </div>
</div>
</div>
<!-- 127 -->
<div class="page-box" page="134">
<div v-if="showPageList.indexOf(134) > -1">
-
<ul class="page-header-box">
<li>
<p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
@@ -189,7 +3216,61 @@
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ <span
+ class="zt-ls"><b>渚�5</b></span>銆�宸茬煡鎸囨暟鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍥惧儚杩囩偣锛�3锛�27锛�.
+ </p>
+ <p>
+ 锛�1锛� 姹�<i>f</i>锛�-1锛� 鐨勫�硷紱锛�2锛�
+ 鑻�<i>f</i>锛坢锛夆墺9锛屾眰<i>m</i>鐨勫彇鍊艰寖鍥�.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥惧儚杩囩偣锛�3锛�27锛夛紝鍗�<i>x</i>=3鏃讹紝<i>f</i>锛�3锛�=27.
+ </p>
+ <p>
+ 鐢�27=<i>a</i><sup>3</sup>锛屽緱<i>a</i>=3锛� 鍗�<i>f</i>锛�<i>x</i>锛�=3<i><sup>x</sup></i>.
+ </p>
+ <p>
+ 鎵�浠�<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <msup>
+ <mn>3</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ 锛�2锛�
+ 鍥犱负<i>f</i>锛�<i>m</i>锛�=3<i><sup>m</sup></i>锛屾墍浠ュ緱鍒�3<i><sup>m</sup></i>鈮�9锛屽嵆3<i><sup>m</sup></i>鈮�3<sup>2</sup>.
+ </p>
+ <p>
+ 鍑芥暟<i>y</i>=3<i><sup>x</sup></i>鍦ㄥ畾涔夊煙鍐呮槸澧炲嚱鏁�.
+ </p>
+ <p>鍥犳锛�<i>m</i>鈮�2锛屽嵆<i>m</i>鐨勫彇鍊艰寖鍥翠负[2锛�+鈭烇級.</p>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
+ </p>
+ <div class="bj">
+ <examinations :cardList="questionData[134]" :hideCollect="true" sourceType="json" v-if="questionData">
+ </examinations>
+ </div>
+ </div>
</div>
</div>
@@ -201,15 +3282,19 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
-
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c039">涔犻4.2<span class="fontsz2">锛烇紴锛�</span></h3>
+ <div class="bj">
+ <examinations :cardList="questionData[135]" :hideCollect="true" sourceType="json" v-if="questionData">
+ </examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 129 -->
<div class="page-box" page="136">
<div v-if="showPageList.indexOf(136) > -1">
-
<ul class="page-header-box">
<li>
<p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
@@ -218,8 +3303,54 @@
<p><span>129</span></p>
</li>
</ul>
-
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h2 id="b024">
+ 4.3 瀵规暟<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+ </h2>
+ <h3 id="c040">4.3.1 瀵规暟鐨勫畾涔�<span class="fontsz2">锛烇紴锛�</span></h3>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/wttc.jpg" />
+ </p>
+ <p>
+ 鍦ㄤ笂涓�鑺傗�滆瀵熸�濊�冣�濈殑鎯呭1涓紝鎴戜滑鎻愬埌浜嗐�婂簞瀛惵峰ぉ涓嬬瘒銆嬩腑鐨勨�滀竴灏轰箣妫帮紝鏃ュ彇鍏跺崐锛屼竾涓栦笉绔��.鐜板凡鐭モ�滀竴灏轰箣妫扳�濆墿涓嬪叓鍒嗕箣涓�灏猴紝璇烽棶杩囧幓浜嗗嚑澶╋紵濡傛灉鏄墿涓�<i>N</i>灏哄憿锛�
+ </p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/gn.jpg" />
+ </p>
+ </div>
+ <p class="block">瀵规暟</p>
+ <p class="block">搴曟暟</p>
+ <p class="block">鐪熸暟</p>
+ <p class="block">鎸囨暟寮�</p>
+ <p class="block">瀵规暟寮�</p>
+ <p class="block">甯哥敤瀵规暟</p>
+ <p class="block">鑷劧瀵规暟</p>
+ </div>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
+ </p>
+ <p>
+ 涓�鑸湴锛屽鏋�<i>a<sup>x</sup></i>=<i>N</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夛紝閭ｄ箞鏁�<i>x</i>鍙綔浠�<i>a</i>涓哄簳<i>N</i>鐨�<b>瀵规暟</b>锛岃浣�
+ </p>
+ <p class="center"><i>x</i>=log<sub>a</sub><i>N</i>.</p>
+ <p>
+ 鍏朵腑<i>a</i>鍙綔瀵规暟鐨�<b>搴曟暟</b>锛堢畝绉板簳锛夛紝<i>N</i>鍙綔<b>鐪熸暟</b>.
+ </p>
+ <p>
+ 渚嬪锛�2<sup>3</sup>=8锛屾墍浠�3灏辨槸浠�2涓哄簳8鐨勫鏁帮紝璁颁綔3=log
+ <sub>2</sub>8锛涘啀濡傦紝2<i><sup>x</sup></i>=<i>N</i>锛屾墍浠�<i>x</i>鏄互2涓哄簳<i>N</i>鐨勫鏁帮紝璁颁綔<i>x</i>=log
+ <sub>2</sub><i>N</i>.
+ </p>
+ <p>
+ 寮忓瓙<i>a<sup>b</sup></i>=<i>N</i>鍙綔<b>鎸囨暟寮�</b>锛宭og
+ <i><sub>a</sub>N</i>=<i>b</i>鍙綔<b>瀵规暟寮�</b>.瀹冧滑鐨勫叧绯诲涓�.
+ </p>
+ <p class="center">
+ <img class="img-c" alt="" src="../../assets/images/0140-3.jpg" />
+ </p>
+ </div>
</div>
</div>
@@ -231,14 +3362,225 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ 閫氬父锛屾垜浠妸浠�10涓哄簳鐨勫鏁板彨浣�<b>甯哥敤瀵规暟</b>锛�<i>N</i>鐨勫父鐢ㄥ鏁發og
+ <sub>10</sub><i>N</i>绠�璁颁綔lg<i>N</i>.渚嬪锛宭og<sub>10</sub>5绠�璁颁綔lg5.
+ </p>
+ <p>
+ 鍙﹀锛屽湪绉戞妧銆佺粡娴庝互鍙婄ぞ浼氱敓娲讳腑缁忓父浣跨敤鏃犵悊鏁癳锛屽畠鐨勫�间负2.718
+ 28鈥︼紝浠涓哄簳鐨勫鏁板彨浣�<b>鑷劧瀵规暟</b>.<i>N</i>鐨勮嚜鐒跺鏁發og
+ <sub>e</sub><i>N</i>绠�璁颁綔ln<i>N</i>.渚嬪锛宭og<sub>e</sub>8绠�璁颁綔ln8.
+ </p>
+ <p>鏍规嵁瀵规暟鐨勫畾涔夛紝瀵规暟鏈変互涓嬫�ц川.</p>
+ <p>锛�1锛� 闆跺拰璐熸暟娌℃湁瀵规暟锛�</p>
+ <p>
+ 锛�2锛� log<i><sub>a</sub></i>1=0锛屽嵆1鐨勫鏁颁负0锛�
+ </p>
+ <p>
+ 锛�3锛� log<i><sub>a</sub>a</i>=1锛屽嵆搴曟暟鐨勫鏁颁负1.
+ </p>
+ <div class="bk-hzjl">
+ <div class="bj1-hzjl">
+ <p class="left">
+ <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
+ </p>
+ </div>
+ <examinations :cardList="questionData[137]" :hideCollect="true" sourceType="json" v-if="questionData">
+ </examinations>
+ </div>
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�鎶婁笅鍒楁寚鏁板紡鍐欐垚瀵规暟寮�.
+ </p>
+ <p>
+ 锛�1锛� 5<sup>4</sup>=625锛涳紙2锛�
+ <math display="0">
+ <msup>
+ <mn>8</mn>
+ <mrow>
+ <mfrac>
+ <mn>4</mn>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mn>16</mn>
+ </math>锛涳紙3锛� 10<sup>-2</sup>=0.01.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� log<sub>5</sub>625=4锛涳紙2锛�
+ <math display="0">
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>8</mn>
+ </mrow>
+ </msub>
+ <mn>16</mn>
+ <mo>=</mo>
+ <mfrac>
+ <mn>4</mn>
+ <mn>3</mn>
+ </mfrac>
+ </math>锛涳紙3锛� lg0.01=-2.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�鎶婁笅鍒楀鏁板紡鍐欐垚鎸囨暟寮�.
+ </p>
+ <p>
+ 锛�1锛� log<sub>3</sub>243=5锛涳紙2锛�
+ <math display="0">
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msub>
+ <mfrac>
+ <mn>1</mn>
+ <mn>27</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mn>3</mn>
+ </math>锛涳紙3锛� <i>ln</i>1=0.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 3<sup>5</sup>=243锛涳紙2锛�
+ <math display="0">
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>27</mn>
+ </mfrac>
+ </math>锛涳紙3锛� <i>e</i><sup>0</sup>=1.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�3</b></span>銆�姹備笅鍒楀悇寮忎腑<i>N</i>鐨勫��.
+ </p>
+ <p>
+ 锛�1锛� lg<i>N</i>=-3锛涳紙2锛�
+ <math display="0">
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>8</mn>
+ </mrow>
+ </msub>
+ <mi mathvariant="bold">N</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>2</mn>
+ <mn>3</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鐢眑g<i>N</i>=-3锛屽緱<i>N</i>=10<sup>-3</sup>=0.001锛�
+ </p>
+ <p>
+ 锛�2锛� 鐢�<math display="0">
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>8</mn>
+ </mrow>
+ </msub>
+ <mi mathvariant="bold">N</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>2</mn>
+ <mn>3</mn>
+ </mfrac>
+ </math>锛屽緱<math display="0">
+ <mi mathvariant="bold">N</mi>
+ <mo>=</mo>
+ <msup>
+ <mn>8</mn>
+ <mrow>
+ <mfrac>
+ <mn>2</mn>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mfrac>
+ <mn>2</mn>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mn>4</mn>
+ </math>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�4</b></span>銆�姹備笅鍒楀悇寮忎腑<i>x</i>鐨勫��.
+ </p>
+ <p>
+ 锛�1锛� log <sub>2</sub>8=<i>x</i>锛涳紙2锛� log
+ <sub>4</sub>4<sup>5</sup>=<i>x</i>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鐢眑og
+ <sub>2</sub>8=<i>x</i>锛屽緱2<i><sup>x</sup></i>=8锛屽嵆2<i><sup>x</sup></i>=2<sup>3</sup>锛屾墍浠�<i>x</i>=3锛�
+ </p>
+ <p>
+ 锛�2锛� 鐢眑og <sub>4</sub>4<sup>5</sup>=<i>x</i>锛屽緱4<i><sup>x</sup></i>=4<sup>5</sup>锛屾墍浠�<i>x</i>=5.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�5</b></span>銆�姹備笅鍒楀悇寮忕殑鍊�.
+ </p>
+ <p>
+ 锛�1锛� log<sub>5</sub>1锛涳紙2锛� log<sub>7</sub>7锛涳紙3锛� lg 10锛涳紙4锛�
+ ln e.
+ </p>
+ <p>
+ <span class="zt-ls2"><b>鍒嗘瀽</b></span>銆�鍒╃敤鎬ц川鈥�1鐨勫鏁颁负0鈥濆拰鈥滃簳鏁扮殑瀵规暟涓�1鈥� 鐩存帴寰楃瓟妗堬紝涓嶅繀杞寲鎴愭寚
+ </p>
+ </div>
</div>
</div>
<!-- 131 -->
<div class="page-box" page="138">
<div v-if="showPageList.indexOf(138) > -1">
-
<ul class="page-header-box">
<li>
<p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
@@ -247,26 +3589,512 @@
<p><span>131</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>鏁板紡.</p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� log<sub>5</sub>1=0锛涳紙2锛� log<sub>7</sub>7=1锛�
+ </p>
+ <p>锛�3锛� lg10=log<sub>10</sub>10=1锛涳紙4锛� ln e=log<sub>e</sub>e=1.</p>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
+ </p>
+ <div class="bj">
+ <examinations :cardList="questionData[138]" :hideCollect="true" sourceType="json" v-if="questionData">
+ </examinations>
+ </div>
+ <h3 id="c041">
+ 4.3.2 瀵规暟鐨勮繍绠楁�ц川<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" />
+ </p>
+ <p>
+ 鍒╃敤瀵规暟寮忎笌鎸囨暟寮忕殑鍏崇郴锛屽～鍐欒〃4-4锛岀寽鎯冲鏁扮殑杩愮畻鎬ц川锛屽苟涓庡悓瀛︿氦娴�.
+ </p>
+ <p class="img">琛�4-4</p>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0142-8.jpg" />
+ </p>
+ </div>
</div>
</div>
<!-- 132 -->
<div class="page-box" page="139">
<div v-if="showPageList.indexOf(139) > -1">
-
<ul class="page-header-odd fl al-end">
<li>132</li>
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
+ </p>
+ <p>鎴戜滑鍙互寰楀埌涓や釜姝ｆ暟鐨勭Н銆佸晢銆佸箓鐨勫鏁拌繍绠楁�ц川.</p>
+ <p>
+ 锛�1锛�
+ 绉殑瀵规暟锛�<b>涓や釜姝ｆ暟绉殑瀵规暟锛岀瓑浜庡悓涓�搴曟暟鐨勮繖涓や釜鏁扮殑瀵规暟鐨勫拰</b>锛屽嵆
+ </p>
+ <p class="center">
+ log<i><sub>a</sub></i>锛�<i>MN</i>锛�=log<i><sub>a</sub>M</i>+log
+ <i><sub>a</sub>N</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�.
+ </p>
+ <p>
+ <b>璇佹槑</b> 璁緇og<i><sub>a</sub>M</i>=<i>p</i>锛宭og<i><sub>a</sub>N</i>=<i>q</i>锛�
+ </p>
+ <p>
+ 鏍规嵁瀵规暟鐨勫畾涔夛紝寰�<i>M</i>=<i>a<sup>p</sup></i>锛�<i>N</i>=<i>a<sup>q</sup></i>锛�
+ </p>
+ <p>
+ 鎵�浠� <i>MN</i>=<i>a<sup>p</sup> a<sup>q</sup></i>=<i>a<sup>p+q</sup></i>.
+ </p>
+ <p>鎶婃寚鏁板紡鍖栦负瀵规暟寮忥紝寰�</p>
+ <p class="center">
+ log<i><sub>a</sub></i>锛�<i>MN</i>锛�=<i>p</i>+<i>q</i>=log<i><sub>a</sub>M</i>+log<i><sub>a</sub>N</i>.
+ </p>
+ <p>
+ 锛�2锛�
+ 鍟嗙殑瀵规暟锛�<b>涓や釜姝ｆ暟鍟嗙殑瀵规暟锛岀瓑浜庡悓涓�搴曟暟鐨勮闄ゆ暟鐨勫鏁板噺鍘婚櫎鏁扮殑瀵规暟锛�</b>鍗�
+ </p>
+ <math display="block">
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>M</mi>
+ <mi mathvariant="bold">N</mi>
+ </mfrac>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>M</mi>
+ <mo>鈭�</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi mathvariant="bold">N</mi>
+ <mo stretchy="false">(</mo>
+ <mi>a</mi>
+ <mo>></mo>
+ <mn>0</mn>
+ <mtext>, 涓� </mtext>
+ <mi>a</mi>
+ <mo>鈮�</mo>
+ <mn>1</mn>
+ <mo stretchy="false">)</mo>
+ <mtext>. </mtext>
+ </math>
+ <p>
+ 锛�3锛�
+ 骞傜殑瀵规暟锛�<b>涓�涓鏁板箓鐨勫鏁帮紝绛変簬骞傛寚鏁颁箻杩欎釜鏁扮殑瀵规暟锛�</b>鍗�
+ </p>
+ <p class="center">
+ log<i><sub>a</sub>M<sup>q</sup></i>=<i>q</i>log
+ <i><sub>a</sub>M</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�<i>q</i>鈭�<b>R</b>锛�.
+ </p>
+ <p>
+ 鐗瑰埆鍦帮紝log<i><sub>a</sub>a<sup>b</sup></i>=<i>b</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�.
+ </p>
+ <div class="bk-hzjl">
+ <div class="bj1-hzjl">
+ <p class="left">
+ <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
+ </p>
+ </div>
+ <examinations :cardList="questionData[139]" :hideCollect="true" sourceType="json" v-if="questionData">
+ </examinations>
+ </div>
+ <p>
+ <span
+ class="zt-ls"><b>渚�1</b></span>銆�鐢╨og<i><sub>a</sub>x</i>锛宭og<i><sub>a</sub>y</i>锛宭og<i><sub>a</sub>z</i>琛ㄧず涓嬪垪鍚勫紡锛堝紡涓瓧姣嶅潎涓烘瀹炴暟涓�<i>a</i>鈮�1锛�.
+ </p>
+ <p>
+ 锛�1锛� log<i><sub>a</sub></i>锛�<i>x</i><sup>2</sup><i>yz</i><sup>3</sup>锛夛紱锛�2锛�<math display="0">
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mrow>
+ <mi>y</mi>
+ <mi>z</mi>
+ </mrow>
+ </mfrac>
+ </math>锛涳紙3锛�
+ <math display="0">
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <msqrt>
+ <mi>x</mi>
+ </msqrt>
+ <mrow>
+ <msup>
+ <mi>y</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mi>z</mi>
+ </mrow>
+ </mfrac>
+ </math>.
+ </p>
+ <p class="block">
+ <span class="zt-ls2"><b>鍒嗘瀽</b></span>銆�鍒╃敤瀵规暟杩愮畻鎬ц川杩涜鍖栫畝杩愮畻.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mo stretchy="false">锛�1锛�</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mi>y</mi>
+ <msup>
+ <mi>z</mi>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>y</mi>
+ <mo>+</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mi>z</mi>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mn>2</mn>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>+</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>y</mi>
+ <mo>+</mo>
+ <mn>3</mn>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>z</mi>
+ <mo>;</mo>
+ </math>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mo stretchy="false">锛�2锛�</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mrow>
+ <mi>y</mi>
+ <mi>z</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>鈭�</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mi>y</mi>
+ <mi>z</mi>
+ <mo stretchy="false">)</mo>
+ <mo>=</mo>
+ <mn>2</mn>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>y</mi>
+ <mo>+</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>z</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mn>2</mn>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>y</mi>
+ <mo>鈭�</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>z</mi>
+ <mo>;</mo>
+ </math>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mo stretchy="false">锛�3锛�</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <msqrt>
+ <mi>x</mi>
+ </msqrt>
+ <mrow>
+ <msup>
+ <mi>y</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mi>z</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msqrt>
+ <mi>x</mi>
+ </msqrt>
+ <mo>鈭�</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mi>y</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mi>z</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>y</mi>
+ <mo>鈭�</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>z</mi>
+ <mo>.</mo>
+ </math>
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�璁＄畻.
+ </p>
+ <p>
+ 锛�1锛�
+ <math display="0">
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>5</mn>
+ </mrow>
+ </msub>
+ <mroot>
+ <mn>25</mn>
+ <mn>3</mn>
+ </mroot>
+ </math>锛涳紙2锛� log <sub>3</sub>锛�9<sup>3</sup>脳3<sup>5</sup>锛夛紱锛�3锛� log
+ <sub>7</sub>56-log<sub>7</sub>8.
+ </p>
+ </div>
</div>
</div>
<!-- 133 -->
<div class="page-box" page="140">
<div v-if="showPageList.indexOf(140) > -1">
-
<ul class="page-header-box">
<li>
<p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
@@ -276,7 +4104,422 @@
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mo stretchy="false">锛�1锛�</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>5</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mroot>
+ <mn>25</mn>
+ <mn>3</mn>
+ </mroot>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>5</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mroot>
+ <msup>
+ <mn>5</mn>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mn>3</mn>
+ </mroot>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>5</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>5</mn>
+ <mrow>
+ <mfrac>
+ <mn>2</mn>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mfrac>
+ <mn>2</mn>
+ <mn>3</mn>
+ </mfrac>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>5</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>5</mn>
+ <mo>=</mo>
+ <mfrac>
+ <mn>2</mn>
+ <mn>3</mn>
+ </mfrac>
+ <mo>;</mo>
+ </math>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mo stretchy="false">锛�2锛�</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mn>9</mn>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mo>脳</mo>
+ <msup>
+ <mn>3</mn>
+ <mrow>
+ <mn>5</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>9</mn>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>3</mn>
+ <mrow>
+ <mn>5</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>3</mn>
+ <mrow>
+ <mn>6</mn>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>3</mn>
+ <mrow>
+ <mn>5</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mn>6</mn>
+ <mo>+</mo>
+ <mn>5</mn>
+ <mo>=</mo>
+ <mn>11</mn>
+ <mo>;</mo>
+ </math>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mo stretchy="false">锛�3锛�</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>7</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>56</mn>
+ <mo>鈭�</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>7</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>8</mn>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>7</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mn>56</mn>
+ <mn>8</mn>
+ </mfrac>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>7</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>7</mn>
+ <mo>=</mo>
+ <mn>1</mn>
+ <mo>.</mo>
+ </math>
+ </p>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
+ </p>
+ <div class="bj">
+ <examinations :cardList="questionData[140]" :hideCollect="true" sourceType="json" v-if="questionData">
+ </examinations>
+ </div>
+ <h3 id="c042">
+ 4.3.3锛堥�夊锛夋崲搴曞叕寮忋�佸鏁版亽绛夊紡<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
+ </p>
+ <p>
+ 璁緇og<i><sub>a</sub>N</i>=<i>x</i>锛屽垯<i>a<sup>x</sup></i>=<i>N</i>锛屼袱杈瑰彇浠�<i>c</i>涓哄簳鐨勫鏁帮紝寰條og<i><sub>c</sub>a<sup>x</sup></i>=log<i><sub>c</sub>N</i>锛屼簬鏄�<i>x</i>log<i><sub>c</sub>a</i>=log<i><sub>c</sub>N</i>锛屽嵆<math
+ display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>c</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi mathvariant="bold">N</mi>
+ </mrow>
+ <mrow>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>c</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ </math>锛屾墍浠�<math display="0">
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi mathvariant="bold">N</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>c</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi mathvariant="bold">N</mi>
+ </mrow>
+ <mrow>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>c</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ </math>.
+ </p>
+ <p>浜庢槸锛屾垜浠湁<b>瀵规暟鐨勬崲搴曞叕寮忥細</b></p>
+ <math display="block">
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>b</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>c</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>b</mi>
+ </mrow>
+ <mrow>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>c</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ <mo stretchy="false">(</mo>
+ <mi>a</mi>
+ <mo>></mo>
+ <mn>0</mn>
+ <mo>,</mo>
+ <mtext> 涓� </mtext>
+ <mi>a</mi>
+ <mo>鈮�</mo>
+ <mn>1</mn>
+ <mo>;</mo>
+ <mi>c</mi>
+ <mo>></mo>
+ <mn>0</mn>
+ <mtext>, 涓� </mtext>
+ <mi>c</mi>
+ <mo>鈮�</mo>
+ <mn>1</mn>
+ <mo stretchy="false">)</mo>
+ <mtext>. </mtext>
+ </math>
+ <p>鐗瑰埆鍦帮紝</p>
+ <math display="block">
+ <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>b</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>b</mi>
+ </mrow>
+ <mrow>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ <mo stretchy="false">(</mo>
+ <mi>a</mi>
+ <mo>></mo>
+ <mn>0</mn>
+ <mo>,</mo>
+ <mtext> 涓� </mtext>
+ <mi>a</mi>
+ <mo>鈮�</mo>
+ <mn>1</mn>
+ <mo stretchy="false">)</mo>
+ <mo>;</mo>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>b</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>ln</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>b</mi>
+ </mrow>
+ <mrow>
+ <mi>ln</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ <mo stretchy="false">(</mo>
+ <mi>a</mi>
+ <mo>></mo>
+ <mn>0</mn>
+ <mo>,</mo>
+ <mtext> 涓� </mtext>
+ <mi>a</mi>
+ <mo>鈮�</mo>
+ <mn>1</mn>
+ <mo stretchy="false">)</mo>
+ <mo>.</mo>
+ </mtd>
+ </mtr>
+ </mtable>
+ </math>
+ </div>
</div>
</div>
@@ -288,14 +4531,525 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�姹俵og<sub>27</sub>8路log <sub>32</sub>9鐨勫��.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ </p>
+ <math display="block">
+ <mtable displaystyle="true" columnalign="right left right left right left right left right left right left"
+ columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt">
+ <mtr>
+ <mtd>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>27</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>8</mn>
+ <mo>鈰�</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>32</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>9</mn>
+ </mtd>
+ <mtd>
+ <mi></mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>8</mn>
+ </mrow>
+ <mrow>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>27</mn>
+ </mrow>
+ </mfrac>
+ <mo>鈰�</mo>
+ <mfrac>
+ <mrow>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>9</mn>
+ </mrow>
+ <mrow>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>32</mn>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ </mrow>
+ <mrow>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>3</mn>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ </mrow>
+ </mfrac>
+ <mo>鈰�</mo>
+ <mfrac>
+ <mrow>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>3</mn>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </mrow>
+ <mrow>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>5</mn>
+ </mrow>
+ </msup>
+ </mrow>
+ </mfrac>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd></mtd>
+ <mtd>
+ <mi></mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>2</mn>
+ </mrow>
+ <mrow>
+ <mn>3</mn>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>3</mn>
+ </mrow>
+ </mfrac>
+ <mo>鈰�</mo>
+ <mfrac>
+ <mrow>
+ <mn>2</mn>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>3</mn>
+ </mrow>
+ <mrow>
+ <mn>5</mn>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>2</mn>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>2</mn>
+ <mn>5</mn>
+ </mfrac>
+ <mo>.</mo>
+ </mtd>
+ </mtr>
+ </mtable>
+ </math>
+ <p>
+ <span
+ class="zt-ls"><b>渚�2</b></span>銆�姹傝瘉锛歭og<i><sub>a</sub>b</i>路log<i><sub>b</sub>c</i>路log<i><sub>c</sub>a</i>=1锛�<i>a</i>锛�<i>b</i>锛�<i>c</i>鍧囦负姝ｅ疄鏁帮紝涓斿潎涓嶇瓑浜�1锛�.
+ </p>
+ <p>
+ <b>璇佹槑</b>
+ <math display="0">
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>b</mi>
+ <mo>鈰�</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>b</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>c</mi>
+ <mo>鈰�</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>c</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>a</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>b</mi>
+ </mrow>
+ <mrow>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ <mo>鈰�</mo>
+ <mfrac>
+ <mrow>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>c</mi>
+ </mrow>
+ <mrow>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>b</mi>
+ </mrow>
+ </mfrac>
+ <mo>鈰�</mo>
+ <mfrac>
+ <mrow>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>a</mi>
+ </mrow>
+ <mrow>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>c</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mn>1</mn>
+ </math>.
+ </p>
+ <p>璁�</p>
+ <math display="block">
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mi>b</mi>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mi mathvariant="bold">N</mi>
+ <mo stretchy="false">(</mo>
+ <mi>a</mi>
+ <mo>></mo>
+ <mn>0</mn>
+ <mtext>, 涓� </mtext>
+ <mi>a</mi>
+ <mo>鈮�</mo>
+ <mn>1</mn>
+ <mo stretchy="false">)</mo>
+ <mtext>, </mtext>
+ </math>
+ <p class="right">鈶�</p>
+ <p>鐢卞鏁板畾涔夊緱</p>
+ <math display="block">
+ <mi>b</mi>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mi mathvariant="bold">N</mi>
+ <mo>锛�</mo>
+ </math>
+ <p class="right">鈶�</p>
+ <p>鎶娾憽浠ｅ叆鈶犱腑锛屽緱</p>
+ <math display="block">
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi mathvariant="bold">N</mi>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mi mathvariant="bold">N</mi>
+ <mo stretchy="false">(</mo>
+ <mi>a</mi>
+ <mo>></mo>
+ <mn>0</mn>
+ <mtext>, 涓� </mtext>
+ <mi>a</mi>
+ <mo>鈮�</mo>
+ <mn>1</mn>
+ <mo stretchy="false">)</mo>
+ <mtext>. </mtext>
+ </math>
+ <p>杩欎釜寮忓瓙鍙�<b>瀵规暟鎭掔瓑寮�</b>.</p>
+ <p>
+ <span class="zt-ls"><b>渚�3</b></span>銆�姹備笅鍒楀悇寮忕殑鍊�.
+ </p>
+ <p>
+ 锛�1锛�
+ <math display="0">
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msub>
+ <mn>7</mn>
+ </mrow>
+ </msup>
+ </math>锛涳紙2锛�
+ <math display="0">
+ <msup>
+ <mn>4</mn>
+ <mrow>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msub>
+ <mn>7</mn>
+ </mrow>
+ </msup>
+ </math>锛涳紙3锛�
+ <math display="0">
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>1</mn>
+ <mo>+</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msub>
+ <mn>7</mn>
+ </mrow>
+ </msup>
+ </math>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mo stretchy="false">锛�1锛�</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>7</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mn>7</mn>
+ <mo>;</mo>
+ </math>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mo stretchy="false">锛�2锛�</mo>
+ <msup>
+ <mn>4</mn>
+ <mrow>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>7</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>7</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>2</mn>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>7</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>7</mn>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>49</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mn>49</mn>
+ <mo>;</mo>
+ </math>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mo stretchy="false">锛�3锛�</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>1</mn>
+ <mo>+</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>7</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <mn>1</mn>
+ </mrow>
+ </msup>
+ <mo>脳</mo>
+ <msup>
+ <mn>2</mn>
+ <mrow>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>7</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mn>2</mn>
+ <mo>脳</mo>
+ <mn>7</mn>
+ <mo>=</mo>
+ <mn>14</mn>
+ <mo>.</mo>
+ </math>
+ </p>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
+ </p>
+ <div class="bj">
+ <examinations :cardList="questionData[141]" :hideCollect="true" sourceType="json" v-if="questionData">
+ </examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 135 -->
<div class="page-box" page="142">
<div v-if="showPageList.indexOf(142) > -1">
-
<ul class="page-header-box">
<li>
<p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
@@ -304,7 +5058,26 @@
<p><span>135</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c043">涔犻4.3<span class="fontsz2">锛烇紴锛�</span></h3>
+ <div class="bj">
+ <examinations :cardList="questionData[142]" :hideCollect="true" sourceType="json" v-if="questionData">
+ </examinations>
+ </div>
+ <h2 id="b025">
+ 4.4 瀵规暟鍑芥暟<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+ </h2>
+ <h3 id="c044">
+ 4.4.1 瀵规暟鍑芥暟鐨勫畾涔�<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/wttc.jpg" />
+ </p>
+ <p>
+ 鍦ㄧ浜岃妭鈥滆瀵熸�濊�冣�濈殑鎯呭2涓紝缁嗚優鐢�1涓垎瑁備负2涓紝2涓垎瑁備负4涓�︹�﹀鏋滃凡鐭ュ垎瑁�<i>x</i>娆″悗瀵瑰簲缁嗚優鏁伴噺鏄�1
+ 024涓紝閭ｄ箞濡備綍姹傚垎瑁傜殑娆℃暟<i>x</i>鍛紵
+ </p>
+ </div>
</div>
</div>
@@ -317,14 +5090,160 @@
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
+ </p>
+ <p>
+ 璁�1涓粏鑳炵粡杩�<i>y</i>娆″垎瑁傚悗寰楀埌<i>x</i>涓粏鑳烇紝鍒�<i>x</i>涓�<i>y</i>鐨勫嚱鏁板叧绯诲紡涓�<i>x</i>=2<i><sup>y</sup></i>锛屽皢姝ゆ寚鏁板紡鍐欎负瀵规暟寮忥紝寰楀埌
+ </p>
+ <p class="center"><i>y</i>=log<sub>2</sub><i>x</i>.</p>
+ <p>杩欎釜寮忓瓙灏辨槸鐢ㄥ垎瑁傚悗鐨勭粏鑳炴暟閲�<i>x</i>鏉ヨ〃绀哄垎瑁傜殑娆℃暟<i>y</i>.</p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/gn.jpg" />
+ </p>
+ </div>
+ <p class="block">瀵规暟鍑芥暟</p>
+ </div>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
+ </p>
+ <p>
+ 閫氳繃鎸囨暟涓庡鏁扮殑鍏崇郴鎴戜滑瑙傚療鍒帮細<i>y</i>=log<sub>2</sub><i>x</i>鏄竴涓嚱鏁帮紝鍏惰嚜鍙橀噺<i>x</i>浣嶄簬鐪熸暟浣嶇疆锛屽簳鏁版槸甯告暟.绫绘瘮鎸囨暟鍑芥暟瀹氫箟鐨勫涔犺繃绋嬶紝鎴戜滑鍙互鐢ㄥ瓧姣�<i>a</i>浠ｆ浛搴曟暟2锛屽嵆鏈�<i>y</i>=log<sub>a</sub><i>x</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夎繖绫荤壒寰佺殑鍑芥暟.
+ </p>
+ <p>
+ 涓�鑸湴锛屽舰濡�<i>y</i>=log<i><sub>a</sub>x</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍑芥暟鍙綔<b>瀵规暟鍑芥暟</b>锛屽叾涓�<i>x</i>鏄嚜鍙橀噺锛屽嚱鏁扮殑瀹氫箟鍩熶负锛�0锛�+鈭烇級.
+ </p>
+ <p>
+ 渚嬪锛�<i>y</i>=log<sub>2</sub><i>x</i>锛�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ </math>锛�<i>y</i>=lg <i>x</i>锛�<i>y</i>=ln <i>x</i>閮芥槸瀵规暟鍑芥暟.
+ </p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 1.瀵规暟鍑芥暟涓庢寚鏁板嚱鏁扮殑搴曟暟<i>a</i>鐨勫彇鍊艰寖鍥翠繚鎸佷竴鑷�.
+ </p>
+ <p class="block">2.鐢变簬瀵规暟鐨�</p>
+ <p class="block">
+ 鐪熸暟鐨勫彇鍊艰寖鍥翠负锛�0锛�+鈭烇級锛屾墍浠ュ鏁板嚱鏁拌嚜鍙橀噺<i>x</i>鐨勫彇鍊艰寖鍥翠负锛�0锛�+鈭烇級.
+ </p>
+ </div>
+ <p>
+ <span
+ class="zt-ls"><b>渚�1</b></span>銆�宸茬煡瀵规暟鍑芥暟<i>f</i>锛�<i>x</i>锛�=log<i><sub>a</sub>x</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夛紝涓�<i>f</i>锛�9锛�=
+ 2锛屾眰<i>f</i>锛�3锛夛紝<i>f</i>锛�1锛夛紝<math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>27</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>鐨勫��.
+ </p>
+ <p class="block">
+ <span class="zt-ls2"><b>鍒嗘瀽</b></span>銆�棣栧厛鏍规嵁鏉′欢纭畾搴曟暟<i>a</i>锛岀劧鍚庡啀璁＄畻瀵瑰簲鍑芥暟鍊�.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 鍥犱负<i>f</i>锛�9锛�=2锛屽緱2=log<i><sub>a</sub></i>9.
+ </p>
+ <p>浜庢槸<i>a</i><sup>2</sup>=9锛屽緱<i>a</i>=3锛�</p>
+ <p>鍑芥暟瑙ｆ瀽寮忎负<i>f</i>锛�<i>x</i>锛�=log<sub>3</sub><i>x</i>.</p>
+ <p>
+ 鎵�浠�<i>f</i>锛�3锛�=log<sub>3</sub>3=1锛�
+ <i>f</i>锛�1锛�=log<sub>3</sub>1=0锛�
+ </p>
+ <p>
+ <math display="0">
+ <mi>f</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>27</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>27</mn>
+ </mfrac>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>3</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ </math>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�姹備笅鍒楀嚱鏁扮殑瀹氫箟鍩�.
+ </p>
+ <p>
+ 锛�1锛� <i>y</i>=log <sub>0.5</sub>锛�<i>x</i>-3锛夛紱锛�2锛�
+ <i>y</i>=log<sub>3</sub>锛�4-<i>x</i><sup>2</sup>锛�.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 瑕佷娇鍑芥暟鏈夋剰涔夛紝蹇呴』婊¤冻<i>x</i>-3锛�0锛岃В寰�<i>x</i>锛�3.
+ </p>
+ <p>
+ 鎵�浠ワ紝<i>y</i>=log <sub>0.5</sub>锛�<i>x</i>-3锛夌殑瀹氫箟鍩熸槸锛�3锛�+鈭烇級.
+ </p>
+ <p>
+ 锛�2锛� 瑕佷娇鍑芥暟鏈夋剰涔夛紝蹇呴』婊¤冻4-<i>x</i><sup>2</sup>锛�0锛岃В寰�
+ -2锛�<i>x</i>锛�2.
+ </p>
+ <p>
+ 鎵�浠ワ紝<i>y</i>=log<sub>3</sub>锛�4-<i>x</i><sup>2</sup>锛夌殑瀹氫箟鍩熸槸锛�-2锛�2锛�.
+ </p>
+ </div>
</div>
</div>
<!-- 137 -->
<div class="page-box" page="144">
<div v-if="showPageList.indexOf(144) > -1">
-
<ul class="page-header-box">
<li>
<p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
@@ -334,27 +5253,167 @@
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
+ </p>
+ <div class="bj">
+ <examinations :cardList="questionData[144]" :hideCollect="true" sourceType="json" v-if="questionData">
+ </examinations>
+ </div>
+ <h3 id="c045">
+ 4.4.2 瀵规暟鍑芥暟鐨勫浘鍍忎笌鎬ц川<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" />
+ </p>
+ <p>
+ 涓庣爺绌舵寚鏁板嚱鏁扮殑鍥惧儚鍜屾�ц川涓�鏍凤紝鎴戜滑棣栧厛閫氳繃鎻忕偣娉曠敾鍑哄鏁板嚱鏁扮殑鍥惧儚锛岀劧鍚庡綊绾虫�荤粨鍑芥暟鐨勭浉鍏虫�ц川.涓嬮潰鎴戜滑浠�<i>y</i>=log<sub>2</sub><i>x</i>鍜�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ </math>涓轰緥鐢诲嚭瀵规暟鍑芥暟鐨勫浘鍍忥紝閫氳繃瑙傚療鍏跺浘鍍忕壒寰侊紝褰掔撼鍑哄鏁板嚱鏁扮殑鎬ц川.
+ </p>
+ <p>绗竴姝ワ細璁＄畻閮ㄥ垎鏁板�煎苟鍒楄〃锛堝琛�4-5鎵�绀猴級.</p>
+ <p class="img">琛�4-5</p>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0148-3.jpg" />
+ </p>
+ <p>
+ 绗簩姝ワ細鎻忕偣锛屽苟鐢ㄥ厜婊戠殑鏇茬嚎杩炴帴鎵�鎻忕殑鐐癸紝鐢诲嚭瀹冧滑鐨勫浘鍍忥紝濡傚浘4-8鎵�绀�.
+ </p>
+ <p>
+ 鍒╃敤鐩稿悓鏂规硶锛屾垜浠繕鍙互鍦ㄥ悓涓�骞抽潰鐩磋鍧愭爣绯讳腑鐢诲嚭<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mfrac>
+ <mn>3</mn>
+ <mn>2</mn>
+ </mfrac>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ </math>锛�<i>y</i>=log <sub>2</sub><i>x</i>锛�<i>y</i>=log <sub>0.08</sub><i>x</i>锛�<i>y</i>=log
+ <sub>4.5</sub><i>x</i>锛�<i>y</i>=log
+ <sub>0.6</sub><i>x</i>锛�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ </math>鐨勫浘鍍忥紝濡傚浘4-9鎵�绀�.
+ </p>
+ </div>
</div>
</div>
<!-- 138 -->
<div class="page-box" page="145">
<div v-if="showPageList.indexOf(145) > -1">
-
<ul class="page-header-odd fl al-end">
<li>138</li>
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="center">
+ <img class="img-c" alt="" src="../../assets/images/0149-1.jpg" />
+ </p>
+ <p class="img">鍥�4-8</p>
+ <p class="center">
+ <img class="img-c" alt="" src="../../assets/images/0149-2.jpg" />
+ </p>
+ <p class="img">鍥�4-9</p>
+ <p><b>绫绘瘮褰掔撼</b></p>
+ <p>
+ 绫绘瘮鎸囨暟鍑芥暟鍥惧儚鐗瑰緛鐨勮瀵熸柟娉曪紝瑙傚療瀵规暟鍑芥暟鐨勫浘鍍忥紝鎻忚堪瀹冧滑鐨勫浘鍍忓湪浣嶇疆銆佸叕鍏辩偣鍜屽彉鍖栬秼鍔跨瓑鏂归潰鐨勫叡鎬х壒寰�.
+ </p>
+ <p>
+ 锛�1锛�
+ 鍥句腑鎵�鏈夊鏁板嚱鏁扮殑鍥惧儚鍧囧湪<i>y</i>杞寸殑鍙充晶锛�<b>浣嶇疆鐗瑰緛</b>锛夛紱
+ </p>
+ <p>
+ 锛�2锛�
+ 鍥句腑鎵�鏈夊鏁板嚱鏁扮殑鍥惧儚閮界粡杩囧畾鐐癸紙1锛�0锛夛紙<b>鍏叡鐐圭壒寰�</b>锛夛紱
+ </p>
+ <p>
+ 锛�3锛� 鍦ㄥ畾涔夊煙鍐咃紝瀵规暟鍑芥暟<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mfrac>
+ <mn>3</mn>
+ <mn>2</mn>
+ </mfrac>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ </math>锛�<i>y</i>=log <sub>2</sub><i>x</i>锛�<i>y</i>=log
+ <sub>4.5</sub><i>x</i>鍥惧儚浠庡乏鍒板彸鍒嗗埆閫愭笎涓婂崌锛屽湪绗洓璞￠檺鍐呭悜涓嬩笌<i>y</i>杞存棤闄愭帴杩戯紱瀵规暟鍑芥暟<i>y</i>=log
+ <sub>0.08</sub><i>x</i>锛�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ </math>锛�<i>y</i>=log <sub>0.6</sub><i>x</i>鍥惧儚浠庡乏鍒板彸鍒嗗埆閫愭笎涓嬮檷锛屽湪绗竴璞￠檺鍐呭悜涓婁笌<i>y</i>杞存棤闄愭帴杩戯紙<b>鍙樺寲瓒嬪娍鐗瑰緛</b>锛�.
+ </p>
+ <p>
+ 绫绘瘮鎸囨暟鍑芥暟鐨勫浘鍍忥紝瀵规暟鍑芥暟<i>y</i>=log<i><sub>a</sub>x</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍥惧儚鎸夊簳鏁�<i>a</i>鐨勫彇鍊硷紝鍙垎涓�0锛�<i>a</i>锛�1鍜�<i>a</i>锛�1涓ょ绫诲瀷锛屾垜浠粠鎸囨暟寮忎笌瀵规暟寮忕殑鍏崇郴涔熷彲鍙戠幇.
+ </p>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
+ </p>
+ <p>
+ 涓�鑸湴锛屽鏁板嚱鏁�<i>y</i>=log<i><sub>a</sub>x</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夊叿鏈変笅鍒楁�ц川.
+ </p>
+ <p>锛�1锛� 鍑芥暟鐨勫畾涔夊煙涓猴紙0锛�+鈭烇級锛屽�煎煙涓�<b>R</b>锛�</p>
+ <p>锛�2锛� 褰�<i>x</i>=1鏃讹紝鍑芥暟鍊�<i>y</i>=0锛�</p>
+ <p>
+ 锛�3锛�
+ 褰�<i>a</i>锛�1鏃讹紝鍑芥暟鍦紙0锛�+鈭烇級鍐呮槸澧炲嚱鏁帮紱褰�0锛�<i>a</i>锛�1鏃讹紝鍑芥暟鍦紙0锛�+鈭烇級鍐呮槸鍑忓嚱鏁�.
+ </p>
+ <p>瀵规暟鍑芥暟鐨勫浘鍍忓拰鎬ц川鍙互鎬荤粨濡傝〃4-6鎵�绀�.</p>
+ </div>
</div>
</div>
<!-- 139 -->
<div class="page-box" page="146">
<div v-if="showPageList.indexOf(146) > -1">
-
<ul class="page-header-box">
<li>
<p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
@@ -363,7 +5422,63 @@
<p><span>139</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="img">琛�4-6</p>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0150-1.jpg" />
+ </p>
+ <div class="bk-hzjl">
+ <div class="bj1-hzjl">
+ <p class="left">
+ <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 1.浣犺繕鑳戒粠鍥�4-10涓瀵熷彂鐜板叾浠栧叡鎬х壒寰佸悧锛熸瘮濡傦紝瀵规暟鍑芥暟<i>y</i>=log
+ 2<i>x</i>鍜�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ </math>鐨勫浘鍍忔湁浠�涔堝叧绯伙紵
+ </p>
+ <p class="block">
+ 2.涓や汉涓�缁勶紝涓�浜虹敤琛ㄦ牸鍛堢幇鎸囨暟鍑芥暟鐨勫浘鍍忎笌鎬ц川锛屽彟涓�浜虹敤琛ㄦ牸鍛堢幇瀵规暟鍑芥暟鐨勫浘鍍忎笌鎬ц川锛岀劧鍚庡姣斾袱涓嚱鏁扮殑鍥惧儚涓庢�ц川锛屽綊绾虫�荤粨涓轰竴涓〃鏍硷紝骞朵笌鍚屽浜ゆ祦鍒嗕韩.
+ </p>
+ </div>
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�姣旇緝涓嬪垪鍚勭粍鏁颁腑涓や釜鍊肩殑澶у皬.
+ </p>
+ <p>
+ 锛�1锛� log<sub>2</sub>5.3 涓巐og<sub>2</sub>4.7锛涳紙2锛� log
+ <sub>0.2</sub>7涓巐og <sub>0.2</sub>9锛�
+ </p>
+ <p>
+ 锛�3锛� log<sub>5</sub>4涓�1锛涳紙4锛塴og<sub>3</sub>4涓巐og
+ <sub>0.3</sub>4.
+ </p>
+ <p class="block">
+ <span class="zt-ls2"><b>鍒嗘瀽</b></span>銆�鑻ヤ袱涓鏁扮殑搴曟暟鐩稿悓锛屽彲鍒╃敤瀵规暟鍑芥暟鐨勫崟璋冩�х洿鎺ユ瘮杈冿紱鑻ュ簳鏁颁笉鍚岋紝鍙噰鐢ㄥ厛涓庝腑闂撮噺锛堥�氬父鏄�0鎴�1锛夎繘琛屾瘮杈冿紝鍐嶅埄鐢ㄤ笉绛夊紡浼犻�掓�у緱鍑虹粨璁�.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+ 鍥犱负搴曟暟2锛�1锛屾墍浠�<i>y</i>=log<sub>2</sub><i>x</i>鍦ㄥ尯闂达紙0锛�+鈭烇級涓婃槸澧炲嚱鏁帮紝鍑芥暟鍥惧儚濡傚浘4-10鎵�绀�.
+ </p>
+ <p>鍙堝洜涓�5.3锛�4.7锛屾墍浠og<sub>2</sub>5.3锛瀕og<sub>2</sub>4.7.</p>
+ <p>
+ 锛�2锛� 鍥犱负搴曟暟0锛�0.2锛�1锛屾墍浠�<i>y</i>=log <sub>0.2</sub><i>x</i>鍦ㄥ尯闂达紙0锛�+鈭烇級涓婃槸鍑忓嚱鏁帮紝鍑芥暟鍥惧儚濡傚浘4-11鎵�绀�.
+ </p>
+ <p>鍙堝洜涓�7锛�9锛屾墍浠og <sub>0.2</sub>7锛瀕og <sub>0.2</sub>9.</p>
+ </div>
</div>
</div>
@@ -375,14 +5490,165 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ 锛�3锛� log<sub>5</sub>4锛渓og<sub>5</sub>5=1锛屽嵆log<sub>5</sub>4锛�1.
+ </p>
+ <ul class="fl">
+ <li>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0151-1.jpg" />
+ </p>
+ <p class="img">鍥�4-10</p>
+ </li>
+ <li>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0151-2.jpg" />
+ </p>
+ <p class="img">鍥�4-11</p>
+ </li>
+ </ul>
+ <p>
+ 锛�4锛� 鍥犱负 log<sub>3</sub>4锛瀕og<sub>3</sub>1=0锛宭og
+ <sub>0.3</sub>4锛渓og <sub>0.3</sub>1=0锛屾墍浠� log<sub>3</sub>4锛瀕og
+ <sub>0.3</sub>4.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�瑙ｄ笅鍒椾笉绛夊紡.
+ </p>
+ <p>
+ 锛�1锛塴og <sub>4</sub><i>x</i>锛渓og<sub>4</sub>5锛涳紙2锛�
+ <math display="0">
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mfrac>
+ <mn>4</mn>
+ <mn>5</mn>
+ </mfrac>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mn>1</mn>
+ </math>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负<i>y</i>=log
+ 4<i>x</i>鍦紙0锛�+鈭烇級涓婃槸澧炲嚱鏁帮紝鎵�浠�<i>x</i>锛�5.
+ </p>
+ <p>鍙堝洜涓�<i>x</i>锛�0锛屾墍浠�0锛�<i>x</i>锛�5.</p>
+ <p>鎵�浠ヤ笉绛夊紡鐨勮В闆嗕负锛�0锛�5锛�.</p>
+ <p>
+ 锛�2锛�
+ <math display="0">
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mfrac>
+ <mn>4</mn>
+ <mn>5</mn>
+ </mfrac>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mn>1</mn>
+ </math>锛屽嵆<math display="0">
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mfrac>
+ <mn>4</mn>
+ <mn>5</mn>
+ </mfrac>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>></mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mfrac>
+ <mn>4</mn>
+ <mn>5</mn>
+ </mfrac>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mn>4</mn>
+ <mn>5</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ 鍥犱负<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mfrac>
+ <mn>4</mn>
+ <mn>5</mn>
+ </mfrac>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ </math>鍦紙0锛�+鈭烇級涓婃槸鍑忓嚱鏁帮紝鎵�浠�<math display="0">
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mfrac>
+ <mn>4</mn>
+ <mn>5</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ 鍙堝洜涓�<i>x</i>锛�0锛屾墍浠�<math display="0">
+ <mn>0</mn>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mfrac>
+ <mn>4</mn>
+ <mn>5</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ 鎵�浠ヤ笉绛夊紡鐨勮В闆嗕负锛�0锛�<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mn>0</mn>
+ <mo>锛�</mo>
+ <mfrac>
+ <mn>4</mn>
+ <mn>5</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛�.
+ </p>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" />
+ </p>
+ <div class="bj">
+ <examinations :cardList="questionData[147]" :hideCollect="true" sourceType="json" v-if="questionData">
+ </examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 141 -->
<div class="page-box" page="148">
<div v-if="showPageList.indexOf(148) > -1">
-
<ul class="page-header-box">
<li>
<p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
@@ -391,7 +5657,13 @@
<p><span>141</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c046">涔犻4.4<span class="fontsz2">锛烇紴锛�</span></h3>
+ <div class="bj">
+ <examinations :cardList="questionData[148]" :hideCollect="true" sourceType="json" v-if="questionData">
+ </examinations>
+ </div>
+ </div>
</div>
</div>
@@ -403,15 +5675,105 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bj">
+ <p>A.锛�0锛�1锛�</p>
+ <p>B.锛�1锛�2锛�</p>
+ <p>C.锛�1锛�+鈭烇級</p>
+ <p>D.锛�0锛�2锛�</p>
+ <p>
+ 锛�3锛� 鍑芥暟<i>y</i>=3+log<i><sub>a</sub>x</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍥惧儚杩囧畾鐐癸紙銆�锛�.
+ </p>
+ <p>A.锛�0锛�1锛�</p>
+ <p>B.锛�1锛�0锛�</p>
+ <p>C.锛�1锛�3锛�</p>
+ <p>D.锛�1锛�4锛�</p>
+ <p>
+ 锛�4锛� 宸茬煡log<sub>0.5</sub><i>x</i>锛瀕og<sub>0.5</sub>3锛屽垯<i>x</i>鐨勫彇鍊艰寖鍥存槸锛堛��锛�.
+ </p>
+ <p>A.锛�3锛�+鈭烇級</p>
+ <p>B.锛�0锛�+鈭烇級</p>
+ <p>C.锛�-鈭烇紝3锛�</p>
+ <p>D.锛�0锛�3锛�</p>
+ <p>
+ 锛�5锛�
+ 宸茬煡<i>a</i>=log<sub>0.7</sub>0.8锛�<i>b</i>=log<sub>0.7</sub>1.9锛�<i>c</i>=log<sub>5</sub>1锛屽垯<i>a</i>锛�<i>b</i>锛�<i>c</i>鐨勫ぇ灏忓叧绯绘槸锛堛��锛�.
+ </p>
+ <p>A.<i>a</i>锛�<i>b</i>锛�<i>c</i></p>
+ <p>B.<i>a</i>锛�<i>c</i>锛�<i>b</i></p>
+ <p>C.<i>b</i>锛�<i>a</i>锛�<i>c</i></p>
+ <p>D.<i>b</i>锛�<i>c</i>锛�<i>a</i></p>
+ <p>2.姹備笅鍒楀嚱鏁扮殑瀹氫箟鍩�.</p>
+ <p>
+ 锛�1锛�
+ <math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>x</mi>
+ <msqrt>
+ <mn>1</mn>
+ <mo>鈭�</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mn>3</mn>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ </msqrt>
+ </mfrac>
+ </math>锛涳紙2锛�
+ <math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <msqrt>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mfrac>
+ <mn>1</mn>
+ <mn>4</mn>
+ </mfrac>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ </msqrt>
+ </math>.
+ </p>
+ <p>
+ 3.宸茬煡鍑芥暟<i>f</i>锛�<i>x</i>锛�=log<i><sub>a</sub>x</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍥惧儚杩囩偣锛�9锛�-2锛夛紝姹�<i>f</i>锛�3锛夌殑鍊�.
+ </p>
+ <p>
+ 4.鎴戝浗缁忔祹鎬婚噺鍗犱笘鐣岀粡娴庣殑姣旈噸杈�18.5%锛屽眳涓栫晫绗簩浣�.2020骞存垜鍥藉叏骞�<i>GDP</i>涓�1
+ 015
+ 986浜垮厓锛屽彇寰椾簡瓒呰繃100涓囦嚎鐨勫巻鍙叉�ф垚灏�.2021骞存垜鍥�<i>GDP</i>棰勬湡鐩爣鏄闀跨巼瓒呰繃6.0%.鍋囪鎴戝浗姣忓勾<i>GDP</i>鐨勫闀跨巼鍧囦负6.0%锛屼粠2021骞村紑濮嬶紝澶х害缁忚繃澶氬皯骞达紝鎴戝浗鑳藉疄鐜板叏骞�<i>GDP</i>姣�2021骞寸炕涓�鐣紵
+ </p>
+ </div>
+ <h2 id="b026">
+ 4.5 鎸囨暟鍑芥暟涓庡鏁板嚱鏁扮殑瀹為檯搴旂敤<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+ </h2>
+ <p>
+ 鎴戜滑瀛︿範鐨勫熀鏈垵绛夊嚱鏁帮紝鍙互鎻忚堪銆佸埢鐢诲瑙備笘鐣屼腑鏌愪竴绫讳簨鐗╄繍鍔ㄥ彉鍖栫殑瑙勫緥.渚嬪锛岀敤涓�娆″嚱鏁版ā鍨嬪彲浠ユ弿杩扮敓娲讳腑鐨勨�滅嚎鎬у闀库�濓紙鐩寸嚎澧為暱锛夌幇璞�.鍒╃敤鎸囨暟鍑芥暟涓庡鏁板嚱鏁扮殑鐩稿叧鐭ヨ瘑寤虹珛鍑芥暟妯″瀷锛屽彲浠ユ弿杩般�佸埢鐢荤瀛︿笌鎶�鏈�佺粡娴庝笌绀句細銆佺敓浜т笌鐢熸椿涓殑鈥滄寚鏁板闀库�濆拰鈥滃鏁板闀库�濈幇璞�.
+ </p>
+ <p>
+ <span
+ class="zt-ls"><b>渚�1</b></span>銆�寮�灞曚汉鍙ｆ櫘鏌ワ紝瀵逛簬璋冩暣銆佸畬鍠勪汉鍙ｆ斂绛栵紝鎺ㄥ姩浜哄彛缁撴瀯浼樺寲锛屼績杩涗汉鍙ｇ礌璐ㄦ彁鍗囧叿鏈夐噸瑕佹剰涔�.绗竷娆″叏鍥戒汉鍙ｆ櫘鏌ョ粨鏋滄樉绀猴紝2020骞村勾鏈叏鍥藉ぇ闄嗘�讳汉鍙ｄ负141
+ 178涓囦汉锛屽叾涓煄闀囧父浣忎汉鍙�90
+ 199涓囦汉锛屽崰鎬讳汉鍙ｇ殑姣斾緥锛堝父浣忎汉鍙ｅ煄闀囧寲鐜囷級涓�63.89%锛屼笌2010骞寸浉姣旓紝鎻愰珮浜�14.21涓櫨鍒嗙偣.
+ </p>
+ <p>
+ 锛�1锛� 鍋囪姝ゅ悗姣忓勾閮藉鍔�700涓囦汉鍙ｏ紝20骞村悗鎴戝浗澶ч檰浜哄彛鎬绘暟鏄灏戯紵
+ </p>
+ </div>
</div>
</div>
<!-- 143 -->
<div class="page-box" page="150">
<div v-if="showPageList.indexOf(150) > -1">
-
-
<ul class="page-header-box">
<li>
<p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
@@ -420,7 +5782,59 @@
<p><span>143</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ 锛�2锛�
+ 鍋囪姝ゅ悗姣忓勾浜哄彛鐨勫钩鍧囧闀跨巼鏄�1%锛堟瘡骞撮兘鍦ㄥ墠涓�骞村熀纭�涓婂鍔�1%锛夛紝20骞村悗鎴戝浗澶ч檰浜哄彛鎬绘暟绾︿负澶氬皯锛燂紙鍗曚綅锛氫竾锛岀粨鏋滅簿纭埌0.01锛�
+ </p>
+ <p class="block">
+ <b>鍒嗘瀽</b>锛�1锛�
+ 杩欐槸缁忔祹绀句細涓殑鈥滅嚎鎬у闀库�濈幇璞★紝鍗虫瘡骞村鍔犻噺淇濇寔涓嶅彉锛屾瘡骞村鍔�700涓囦汉鍙ｏ紝20骞村叡澧炲姞14
+ 000涓囦汉鍙ｏ紝鍥犳鎬诲叡浜哄彛涓�155 178涓�.
+ </p>
+ <p class="block">
+ 锛�2锛�
+ 杩欐槸缁忔祹绀句細涓殑鈥滄寚鏁板闀库�濈幇璞★紝鍗虫瘡骞存寜鐓т竴瀹氱殑澧為暱鐜囷紙鎴愬�嶆暟锛夊闀�.鎴戜滑棣栧厛鑰冩煡閫愬勾澧為暱鐨勬儏鍐碉紝浠庝腑鍙戠幇姣忎竴骞撮兘鏄墠涓�骞寸殑锛�1+1%锛夊�嶏紙涔熷彲閲囩敤鍚庝竴骞翠笌鍓嶄竴骞寸殑姣斿�煎彂鐜拌寰嬶級锛屽嵆鍛堟寚鏁板闀匡紝鏈�鍚庡埄鐢ㄦ寚鏁板嚱鏁扮煡璇嗚В鍐抽棶棰�.
+ </p>
+ <p class="block">2020骞村勾鏈� 浜哄彛绾︿负141 178涓囷紱</p>
+ <p class="block">缁忚繃1骞� 浜哄彛绾︿负141 178锛�1+1%锛変竾锛�</p>
+ <p class="block">
+ 缁忚繃2骞� 浜哄彛绾︿负141 178锛�1+1%锛夛紙1+1%锛�=141
+ 178锛�1+1%锛�<sup>2</sup>涓囷紱
+ </p>
+ <p class="block">
+ 缁忚繃3骞� 浜哄彛绾︿负141 178锛�1+1%锛�<sup>2</sup>锛�1+1%锛�=141
+ 178锛�1+1%锛�<sup>3</sup>涓囷紱
+ </p>
+ <p class="block">鈥︹��</p>
+ <p class="block">
+ 缁忚繃<i>x</i>骞� 浜哄彛绾︿负141 178锛�1+1%锛�<i><sup>x</sup></i>涓�.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负姣忓勾澧炲姞700涓囦汉鍙ｏ紝20骞村叡澧炲姞20脳700涓�=14
+ 000涓囦汉鍙ｏ紝鍥犳20骞村悗鎴戝浗澶ч檰浜哄彛涓�155 178涓囷紙15.517 8浜匡級.
+ </p>
+ <p>锛�2锛� 璁剧粡杩�<i>x</i>骞达紝鎴戝浗浜哄彛涓�<i>y</i>涓囷紝鐢遍鎰忓緱</p>
+ <p class="center">
+ <i>y</i>=141 178锛�1+1%锛�<i><sup>x</sup></i>.
+ </p>
+ <p>褰�<i>x</i>=20鏃讹紝<i>y</i>=141 178锛�1+1%锛�<sup>20</sup>.</p>
+ <p>鍒╃敤绉戝璁＄畻鍣ㄥ彲姹傚緱<i>y</i>鈮�172 263.99涓�.</p>
+ <p>
+ 鎵�浠ワ紝鍋囪姣忓勾閮藉鍔�700涓囦汉鍙ｏ紝20骞村悗鎴戝浗澶ч檰浜哄彛涓�155
+ 178涓囷紱鍋囪姣忓勾浜哄彛鐨勫钩鍧囧闀跨巼鏄�1%锛岀粡杩�20骞村悗鎴戝浗澶ч檰浜哄彛绾︿负172
+ 263.99涓�.
+ </p>
+ <p class="left">
+ <img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" />
+ </p>
+ <p>
+ 姣旇緝涓ょ澧為暱鏂瑰紡锛岄殢鐫�鏃堕棿鎺ㄧЩ锛屸�滄寚鏁板闀库�濇柟寮忔洿鍏锋湁鐖嗗彂鎬�.鎺㈢┒涓ょ澧為暱鏂瑰紡鐨勭壒鐐癸紝骞跺垎鍒垪涓剧ぞ浼氱敓娲讳腑鐨勨�滅嚎鎬у闀库�濆拰鈥滄寚鏁板闀库�濈幇璞�.
+ </p>
+ <p>
+ 涓�鑸湴锛屽舰濡�<i>y</i>=<i>ka<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�<i>k</i>鈮�0锛夌殑鍑芥暟绉颁负<b>鎸囨暟鍨嬪嚱鏁�</b>锛岃繖鏄敓娲诲疄闄呬腑甯歌鐨勫拰瀹炵敤鐨勫嚱鏁版ā鍨�.鍏朵腑锛屽綋<i>a</i>锛�1鏃讹紝璇ュ嚱鏁板彨浣滄寚鏁板闀挎ā鍨嬶紝濡傛垜浠父璇寸殑鈥滄寚鏁扮垎鐐糕�濈幇璞℃墍钑村惈鐨勫氨鏄繖绉嶆ā鍨嬶紱褰�0锛�<i>a</i>锛�1鏃讹紝璇ュ嚱鏁板彨浣滄寚鏁拌“鍑忔ā鍨嬶紝濡傝�冨彜宸ヤ綔涓殑纰�14琛板噺鐜拌薄鎵�钑村惈鐨勫氨鏄繖绉嶆ā鍨�.
+ </p>
+ </div>
</div>
</div>
<!-- 144 -->
@@ -431,42 +5845,103 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�2020骞�12鏈�8鏃ワ紝涓浗銆佸凹娉婂皵涓ゅ浗鍏卞悓鍚戝叏涓栫晫姝ｅ紡瀹ｅ竷锛屼笘鐣岀涓�楂樺嘲鐝犵﹩鏈楃帥宄扮殑鏈�鏂版捣鎷旈珮绋嬩负8
+ 848.86
+ m.鐢变簬鐝犵﹩鏈楃帥宄版皵鍊欏鍙樸�侀珮瀵掔己姘с�佺幆澧冨鏉傦紝瀵规祴閲忚澶囥�佹祴缁樻妧鏈拰娴嬬粯浜哄憳鏈夊緢楂樼殑瑕佹眰锛屽洜姝ょ簿纭祴閲忕彔绌嗘湕鐜涘嘲楂樼▼鏄竴涓浗瀹舵祴缁樻妧鏈按骞冲拰鑳藉姏鐨勭患鍚堜綋鐜�.宸茬煡娴锋嫈楂樼▼<i>y</i>锛坢锛�
+ 涓庡ぇ姘斿帇寮�<i>x</i>锛圥a锛変箣闂寸殑鍏崇郴鍙敤鍑芥暟 <i>y</i>=<i>k</i> ln
+ <i>x</i>+<i>c</i>
+ 鏉ヨ繎浼兼弿杩帮紝鍏朵腑<i>c</i>锛�<i>k</i>鍙湅鎴愬父閲�.鍙堢煡鐧婚《杩囩▼涓紝娴峰钩闈㈢殑澶ф皵鍘嬪己涓�1.013脳10<sup>5</sup>
+ Pa锛屽寳鍧宠惀鍦版捣鎷�7 028 m锛屽ぇ姘斿帇寮虹害涓�4.21脳10<sup>4</sup>Pa.
+ </p>
+ <p>
+ 锛�1锛� 褰撳ぇ姘斿帇寮轰负3.81脳10<sup>4</sup> <i>Pa</i> 鏃讹紝娴锋嫈楂樼▼鏄灏戯紵
+ </p>
+ <p>
+ 锛�2锛� 褰撴祴缁樹汉鍛樺湪鐧婚《杩囩▼涓祴寰楀叾鎵�鍦ㄤ綅缃殑娴锋嫈楂樼▼涓�8 844.43
+ m鏃讹紝澶ф皵鍘嬪己涓哄灏戯紵
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 娴峰钩闈㈢殑娴锋嫈楂樼▼涓�0 m.灏�
+ </p>
+ <p class="center">
+ <i>x</i><sub>1</sub>=1.013脳10<sup>5</sup>锛�<i>y</i><sub>1</sub>=0锛�
+ </p>
+ <p class="center">
+ <i>x</i><sub>2</sub>=4.21脳10<sup>4</sup>锛�<i>y</i><sub>2</sub>=7
+ 028锛�
+ </p>
+ <p>鍒嗗埆浠ｅ叆鍑芥暟鍏崇郴寮忋��<i>y</i>=<i>k</i> ln <i>x</i>+<i>c</i>锛�</p>
+ <p>瑙ｅ緱銆�<i>k</i>鈮�-8 004.203锛�<i>c</i>鈮�92 255.180.</p>
+ <p>浜庢槸锛屽ぇ姘斿帇寮轰笌娴锋嫈楂樼▼鐨勫叧绯诲紡杩戜技涓�</p>
+ <math display="block">
+ <mi>y</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mn>8004.203</mn>
+ <mi>ln</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>+</mo>
+ <mn>92255.180</mn>
+ <mo>.</mo>
+ </math>
+ <p class="right">鈶�</p>
+ <p>锛�1锛� 褰�<i>x</i>=3.81脳10<sup>4</sup>鏃讹紝</p>
+ <p><i>y</i>=-8 004.203脳ln锛�3.81脳10<sup>4</sup>锛�+92 255.180</p>
+ <p>鈮�7 827.090.</p>
+ <p>
+ 鎵�浠ワ紝褰撳ぇ姘斿帇寮轰负3.81脳10<sup>4</sup> <i>Pa</i>鏃讹紝娴锋嫈楂樼▼绾︿负7
+ 827.090 m.
+ </p>
+ <p>锛�2锛� 鎶�<i>y</i>=8 844.43浠ｅ叆鈶犲紡锛�</p>
+ <p class="center">8 844.43=-8 004.203 ln <i>x</i>+92 255.180锛�</p>
+ <p class="center">
+ ln <i>x</i>=10.421鈬�<i>x</i>=<i>e</i><sup>10.421</sup>鈮�33
+ 556.974鈮�3.36脳10<sup>4</sup>.
+ </p>
+ <p>
+ 鎵�浠ワ紝褰撴祴缁樹汉鍛樺湪鐧婚《杩囩▼涓祴寰楀叾鎵�鍦ㄤ綅缃殑娴锋嫈楂樼▼涓�8 844.43
+ m鏃讹紝澶ф皵鍘嬪己绾︿负3.36脳10<sup>4</sup>
+ <i>Pa</i>锛岀害涓烘捣骞抽潰澶ф皵鍘嬪己鐨�<math display="0">
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ </math>.
+ </p>
+ </div>
</div>
</div>
<!-- 145 -->
<div class="page-box" page="152">
<div v-if="showPageList.indexOf(152) > -1">
-
<ul class="page-header-box">
<li>
<p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
</li>
<li>
- <p><span>145</span></p>
+ <p><span>145-146</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c047">涔犻4.5<span class="fontsz2">锛烇紴锛�</span></h3>
+ <div class="bj">
+ <examinations :cardList="questionData[152]" :hideCollect="true" sourceType="json" v-if="questionData">
+ </examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 146 -->
- <div class="page-box" page="153">
- <div v-if="showPageList.indexOf(153) > -1">
- <ul class="page-header-odd fl al-end">
- <li>146</li>
- <li>鏁板.鍩虹妯″潡</li>
- <li>涓婂唽</li>
- </ul>
- <div class="padding-116"></div>
- </div>
- </div>
+ <div class="page-box hidePage" page="153"></div>
<!-- 147 -->
<div class="page-box" page="154">
<div v-if="showPageList.indexOf(154) > -1">
-
<ul class="page-header-box">
<li>
<p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
@@ -475,7 +5950,31 @@
<p><span>147</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h2 id="b027">
+ 鏁板鍥湴<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+ </h2>
+ <p class="center">鎴戜滑韬竟鐨勨�滄寚鏁扮垎鐐糕��</p>
+ <p>
+ 鈥滄寚鏁扮垎鐐糕�濅笉鏄湡姝ｇ殑鐖嗙偢锛屾槸浜嬬墿鏁伴噺鐨勫彉鍖栧憟鐜扮垎鐐稿紡鎬ュ墽澧為暱鏃剁殑鐜拌薄.鐢ㄦ暟瀛﹁瑷�鎻忚堪璇ョ幇璞℃椂锛屽彲鐢ㄦ寚鏁板嚱鏁版ā鍨�<i>f</i>锛�<i>x</i>锛�=<i>ka<sup>x</sup></i>锛�<i>a</i>锛�1锛夋潵鍒荤敾杩欑鍙樺寲瑙勫緥锛岃繖绉嶅闀挎柟寮忎篃鍙綔鈥滄寚鏁板闀库��.
+ </p>
+ <p>
+ 鍦ㄥ辜鍎垮洯銆佸皬瀛﹂樁娈碉紝鍚屽浠粡甯哥帺鐨勬姌绾告父鎴忎篃钑村惈鐫�鈥滄寚鏁扮垎鐐糕�濈殑閬撶悊.涓�寮犺冻澶熷ぇ銆佽冻澶熸煍杞殑绾哥墖姣忓鎶樹竴娆★紝绾哥墖鐨勫帤搴﹀氨浼氱炕涓�鐣紝濡傛灉鎸佺画瀵规姌涓嬪幓锛屽叾鍘氬害澧為暱鏄�滅垎鐐稿紡鈥濈殑.涓�寮犺冻澶熷ぇ鐨�1
+ mm鍘氱殑绾哥墖濡傛灉杩炵画瀵规姌42娆★紝鍏跺帤搴﹀ぇ绾︿负4.4脳10<sup>5</sup>
+ km锛屽彲浠ョ洿鎺ヤ粠鍦扮悆杩炲埌鏈堢悆浜嗭紙鍦扮悆涓庢湀鐞冧箣闂寸殑璺濈绾︿负3.8脳10<sup>5</sup>
+ km锛�.
+ </p>
+ <p>
+ 鍦ㄥ崼鐢熷仴搴锋柟闈紝鎴戜滑鍑犱箮姣忓ぉ閮藉湪鍜岀粏鑿屾墦浜ら亾锛屽洜涓哄緢澶氱粏鑿岀殑绻佹畺閫熷害閮芥槸鍛堚�滄寚鏁扮垎鐐糕�濆紡鐨�.鏈夌爺绌舵樉绀猴紝涓�鍙屾湭娲楄繃鐨勬墜涓婂ぇ绾︽湁80涓囦釜缁嗚弻锛屽亣璁炬煇绉嶇粏鑿屼互浜屽垎瑁傛硶绻佹畺锛堟瘡鍒嗚涓�娆★紝鏁伴噺鏄師鏉ョ殑涓ゅ�嶏級锛屾瘡5绉掑垎瑁備竴娆★紝寰堝揩锛岃繖鍙屾湭娲楄繃鐨勬墜涓婄殑缁嗚弻灏变細澧為暱鍒�5
+ 000澶氫竾涓紝搴炲ぇ鐨勭粏鑿岀兢浣撶粡甯镐細瀵艰嚧鎴戜滑鈥滅梾浠庢墜鍏モ��.鎵�浠ワ紝淇濇寔楗墠渚垮悗娲楁墜鐨勮壇濂藉崼鐢熶範鎯紝瀵规垜浠韩浣撳仴搴锋湁鐫�鑷冲叧閲嶈鐨勪綔鐢�.
+ </p>
+ <p>
+ 鍦ㄦ梾娓告湇鍔￠鍩燂紝涓�浜涙秷璐规�ф斂绛栧彲鑳戒細瀵艰嚧娓稿浜烘暟鐨勨�滅垎鐐稿紡鈥濆闀�.渚嬪锛屾煇涓�鏅尯涓哄惛寮曟洿澶氭父瀹紝浠�2001骞村紑濮嬶紝鏂借闂ㄧエ鍏嶈垂娲诲姩锛屾父瀹汉鏁颁粠30涓囦汉娆″鍔犲埌2020骞寸殑220涓囦汉娆★紝骞冲潎姣忓勾澧炲姞1.11鍊嶏紝杩欎篃钑村惈鐫�鈥滄寚鏁板闀库��.濡傛灉娓稿浜烘暟澧為暱杩囧害锛屼細鍑虹幇鏅尯浜烘弧涓烘偅銆佹湇鍔¤窡涓嶄笂绛夐棶棰橈紝鍥犳闇�瑕佸埄鐢ㄥ嚱鏁版ā鍨嬮娴嬫湭鏉ュ彉鍖栬秼鍔匡紝鍚堢悊鏂借鏃呮父娲诲姩.
+ </p>
+ <p>
+ 浠庣粏濡傚彂涓濈殑鎷夐潰銆佹姌绾告父鎴忋�佺粏鑿岀箒娈栵紝鍒版櫙鍖烘梾娓搞�侀摱琛屽偍钃勭瓑锛岄兘涓庘�滄寚鏁扮垎鐐糕�濇湁鐫�鍗冧笣涓囩紩鐨勮仈绯�.鍦ㄥ瑙備笘鐣屼腑锛屾暟瀛︽棭宸叉倓鎮勬綔鍏ユ垜浠敓娲汇�佸伐浣滅殑鏂规柟闈㈤潰.
+ </p>
+ </div>
</div>
</div>
@@ -487,14 +5986,174 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h2 id="b028">
+ 鍗曞厓灏忕粨<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+ </h2>
+ <p class="bj2"><b>瀛︿範瀵煎浘</b></p>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0159-1.jpg" />
+ </p>
+ <p class="bj2"><b>瀛︿範鎸囧</b></p>
+ <p>1.瀹炴暟鎸囨暟骞�.</p>
+ <p>锛�1锛� 姝ｆ暣鏁般�佽礋鏁存暟銆佸垎鏁般�佹寚鏁板箓鐨勬剰涔�.</p>
+ <p>
+ 鈶�<math display="0">
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mi>n</mi>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <munder>
+ <mrow data-mjx-texclass="OP">
+ <munder>
+ <mrow>
+ <mi>a</mi>
+ <mo>鈰�</mo>
+ <mi>a</mi>
+ <mo>鈰�</mo>
+ <mi>a</mi>
+ <mo>鈰�</mo>
+ <mo>鈰�</mo>
+ <mo>鈰�</mo>
+ <mi>a</mi>
+ </mrow>
+ <mo>鈴�</mo>
+ </munder>
+ </mrow>
+ <mrow>
+ <mi>n</mi>
+ <mo stretchy="false">鈫�</mo>
+ <mi>a</mi>
+ </mrow>
+ </munder>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>n</mi>
+ <mo>鈭�</mo>
+ <msub>
+ <mrow>
+ <mi mathvariant="bold">N</mi>
+ </mrow>
+ <mrow>
+ <mo>+</mo>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛涖��鈶�<math display="0">
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mo>鈭�</mo>
+ <mi>n</mi>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mi>n</mi>
+ </mrow>
+ </msup>
+ </mfrac>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>a</mi>
+ <mo>鈮�</mo>
+ <mn>0</mn>
+ <mo>,</mo>
+ <mi>n</mi>
+ <mo>鈭�</mo>
+ <msub>
+ <mrow>
+ <mi mathvariant="bold">N</mi>
+ </mrow>
+ <mrow>
+ <mo>+</mo>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛�
+ </p>
+ <p>
+ 鈶�<math display="0">
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mfrac>
+ <mi>m</mi>
+ <mi>n</mi>
+ </mfrac>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mroot>
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <mi>m</mi>
+ </mrow>
+ </msup>
+ <mi>n</mi>
+ </mroot>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>a</mi>
+ <mo>></mo>
+ <mn>0</mn>
+ <mo>,</mo>
+ <mi>m</mi>
+ <mo>,</mo>
+ <mi>n</mi>
+ <mo>鈭�</mo>
+ <msub>
+ <mrow>
+ <mi mathvariant="bold">N</mi>
+ </mrow>
+ <mrow>
+ <mo>+</mo>
+ </mrow>
+ </msub>
+ <mo>,</mo>
+ <mi>n</mi>
+ <mo>></mo>
+ <mn>1</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>.
+ </p>
+ <p>锛�2锛� 杩愮畻鎬ц川.</p>
+ <p>璁�<i>a</i>锛�0锛�<i>b</i>锛�0锛�<i>m</i>锛�<i>n</i>鈭�<b>R</b>锛屽垯</p>
+ <p>
+ 鈶�<i>a<sup>m</sup>
+ a<sup>n</sup></i>=<i>a<sup>m+n</sup></i>锛涖��鈶★紙<i>a<sup>m</sup></i>锛�<i><sup>n</sup></i>=<i>a<sup>mn</sup></i>锛涖��鈶紙<i>ab</i>锛�<i><sup>n</sup></i>=<i>a<sup>n</sup>
+ b<sup>n</sup></i>.
+ </p>
+ <p>2.瀵规暟.</p>
+ <p>
+ 锛�1锛�
+ 瀹氫箟锛氬鏋�<i>a<sup>x</sup></i>=<i>N</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夛紝閭ｄ箞鏁�<i>x</i>鍙綔浠�<i>a</i>涓哄簳<i>N</i>鐨�<b>瀵规暟</b>锛岃浣�<i>x</i>=log<i><sub>a</sub>N</i>锛屽叾涓�<i>a</i>鍙綔瀵规暟鐨�<b>搴曟暟</b>锛堢畝绉板簳锛夛紝<i>N</i>鍙綔<b>鐪熸暟</b>.
+ </p>
+ <p>
+ 閫氬父鎴戜滑鎶妉og <sub>10</sub><i>N</i>鍙綔甯哥敤瀵规暟锛岀畝璁颁綔lg <i>N</i>锛�
+ 鎶妉og<sub>e</sub><i>N</i>鍙綔鑷劧瀵规暟锛岀畝璁颁綔ln <i>N</i>.
+ </p>
+ <p>
+ 锛�2锛� 鎬ц川锛氣憼闆跺拰璐熸暟娌℃湁瀵规暟锛涒憽log<i><sub>a</sub></i>1=0锛屽嵆1鐨勫鏁颁负0锛涒憿log<i><sub>a</sub>a</i>=1锛屽嵆搴曟暟鐨勫鏁颁负1.
+ </p>
+ </div>
</div>
</div>
<!-- 149 -->
<div class="page-box" page="156">
<div v-if="showPageList.indexOf(156) > -1">
-
<ul class="page-header-box">
<li>
<p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
@@ -503,7 +6162,140 @@
<p><span>149</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>锛�3锛� 杩愮畻娉曞垯.</p>
+ <p>
+ 鈶爈og<i><sub>a</sub></i>锛�<i>MN</i>锛�=log<i><sub>a</sub>M</i>+log<i><sub>a</sub>N</i>锛涖��鈶�<math display="0">
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>M</mi>
+ <mi>N</mi>
+ </mfrac>
+ <mo>=</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>M</mi>
+ <mo>鈭�</mo>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>N</mi>
+ </math>锛�
+ </p>
+ <p>
+ 鈶og<i><sub>a</sub>N<sup>n</sup></i>=<i>n</i>log
+ <i><sub>a</sub>N</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�<i>n</i>鈭�<b>R</b>锛�.
+ </p>
+ <p>锛�4锛夛紙閫夊锛夋崲搴曞叕寮�.</p>
+ <p>
+ <math display="0">
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>b</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>c</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>b</mi>
+ </mrow>
+ <mrow>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>c</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ </math>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�<i>c</i>锛�0锛屼笖<i>c</i>鈮�1锛�.
+ </p>
+ <p>
+ 鐗瑰埆鍦帮紝<math display="0">
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>b</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>b</mi>
+ </mrow>
+ <mrow>
+ <mi>lg</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>a</mi>
+ </mrow>
+ </mfrac>
+ </math>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�.
+ </p>
+ <p>
+ 瀵规暟鎭掔瓑寮忥細<math display="0">
+ <msup>
+ <mi>a</mi>
+ <mrow>
+ <msub>
+ <mi>log</mi>
+ <mrow>
+ <mi>a</mi>
+ </mrow>
+ </msub>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>N</mi>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mi>N</mi>
+ </math>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛�.
+ </p>
+ <p>3.鎸囨暟鍑芥暟涓庡鏁板嚱鏁�.</p>
+ <p>锛�1锛� 瀹氫箟.</p>
+ <p>
+ 褰㈠<i>y</i>=<i>a<sup>x</sup></i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍑芥暟鍙寚鏁板嚱鏁帮紱褰㈠<i>y</i>=log<i>
+ ax</i>锛�<i>a</i>锛�0锛屼笖<i>a</i>鈮�1锛夌殑鍑芥暟鍙鏁板嚱鏁�.
+ </p>
+ <p>锛�2锛� 鍥惧儚鍜屾�ц川.</p>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0160-5.jpg" />
+ </p>
+ <p>4.鎸囨暟鍑芥暟涓庡鏁板嚱鏁扮殑瀹為檯搴旂敤.</p>
+ <p>
+ 鍒嗘瀽瀹炰緥鑳屾櫙锛屽缓绔嬫寚鏁板嚱鏁版垨瀵规暟鍑芥暟妯″瀷锛屽苟鍒╃敤鎸囨暟鍑芥暟銆佸鏁板嚱鏁扮殑鍥惧儚鍙婂熀鏈�ц川瑙ｅ喅绠�鍗曠殑瀹為檯闂.浣撲細鈥滄寚鏁扮垎鐐糕�濅笌鈥滄寚鏁拌“鍑忊�濈殑鐗圭偣.
+ </p>
+ </div>
</div>
</div>
@@ -511,61 +6303,48 @@
<div class="page-box" page="157">
<div v-if="showPageList.indexOf(157) > -1">
<ul class="page-header-odd fl al-end">
- <li>150</li>
+ <li>150-152</li>
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h2 id="b029">
+ 鍗曞厓妫�娴�<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+ </h2>
+ <div class="bj">
+ <examinations :cardList="questionData[157]" :hideCollect="true" sourceType="json" v-if="questionData">
+ </examinations>
+ </div>
+ </div>
</div>
</div>
<!-- 151 -->
- <div class="page-box" page="158">
- <div v-if="showPageList.indexOf(158) > -1">
-
- <ul class="page-header-box">
- <li>
- <p>绗洓鍗曞厓 鎸囨暟鍑芥暟涓庡鏁板嚱鏁�</p>
- </li>
- <li>
- <p><span>151</span></p>
- </li>
- </ul>
- <div class="padding-116">158</div>
- </div>
- </div>
+ <div class="page-box hidePage" page="158"></div>
<!-- 152 -->
- <div class="page-box" page="159">
- <div v-if="showPageList.indexOf(159) > -1">
- <ul class="page-header-odd fl al-end">
- <li>152</li>
- <li>鏁板.鍩虹妯″潡</li>
- <li>涓婂唽</li>
- </ul>
- <div class="padding-116">159</div>
- </div>
- </div>
+ <div class="page-box hidePage" page="159"></div>
</div>
</template>
<script>
+import examinations from "@/components/examinations/index.vue";
export default {
- name: '',
+ name: "",
props: {
showPageList: {
type: Array,
default: [],
},
+ questionData: {
+ type: Object,
+ },
},
- components: {},
+ components: { examinations },
data() {
- return {}
+ return {};
},
- computed: {},
- watch: {},
- created() { },
mounted() { },
methods: {},
-}
+};
</script>
<style lang="less" scoped></style>
diff --git a/src/books/mathBook/view/components/chapter005.vue b/src/books/mathBook/view/components/chapter005.vue
index beb4ee1..15c92cd 100644
--- a/src/books/mathBook/view/components/chapter005.vue
+++ b/src/books/mathBook/view/components/chapter005.vue
@@ -1,25 +1,52 @@
<template>
- <div class="chapter" num="6">
-
-
+ <div class="chapter" num="5">
<!-- 绗簲鍗曞厓棣栭〉 -->
<div class="page-box" page="160">
<div v-if="showPageList.indexOf(160) > -1">
-
-
- <div class="padding-116">绗簲鍗曞厓棣栭〉</div>
+ <h1 id="a009"><img class="img-0" alt="" src="../../assets/images/dy5.jpg" /></h1>
+ <div class="padding-116">
+ <p>
+ 涓崕浼樼浼犵粺鏂囧寲婧愯繙娴侀暱銆佸崥澶х簿娣憋紝鏄腑鍗庢枃鏄庣殑鏅烘収缁撴櫠.鎴愯鈥滃懆鑰屽濮嬧�濆嚭鑷�婃眽涔β风ぜ涔愬織銆嬶紝鈥滅簿鍋ユ棩鏈堬紝鏄熻景搴︾悊锛岄槾闃充簲琛岋紝鍛ㄨ�屽濮嬧��.鍦ㄧ幇瀹炰笘鐣屼腑锛岃澶氫簨鐗╃殑杩愬姩鍙樺寲浼氬憟鐜板惊鐜線澶嶃�佸懆鑰屽濮嬬殑瑙勫緥锛屾垜浠О杩欑鍙樺寲瑙勫緥涓哄懆鏈熸��.渚嬪锛岃〃閽堟棆杞�佽溅杞粴鍔ㄣ�佺墿浣撶畝璋愭尟鍔ㄧ瓑.杩欎簺鏈夎寰嬬殑鍙樺寲鐜拌薄閮藉彲鐢ㄤ笁瑙掑嚱鏁版潵鍒荤敾.
+ </p>
+ <p>
+ 鏈崟鍏冩垜浠皢鍦ㄥ凡瀛﹀嚱鏁版蹇电殑鍩虹涓婏紝鍒╃敤鍑芥暟鐨勬�濇兂鍜屾柟娉曟潵瀛︿範涓夎鍑芥暟鐨勭浉鍏冲唴瀹�.涓夎鍑芥暟鏄爺绌惰嚜鐒剁晫涓懆鏈熸�х幇璞＄殑閲嶈鏁板宸ュ叿锛屽畠鍦ㄦ祴閲忋�佺墿鐞嗙瓑鏂归潰閮芥湁鐫�骞挎硾搴旂敤.
+ </p>
+ <p>
+ 鏈崟鍏冧富瑕佸皢瑙掔殑姒傚康鎺ㄥ箍鍒颁换鎰忔儏褰紝寮曞叆寮у害鍒躲�佷换鎰忚鐨勪笁瑙掑嚱鏁帮紝瀛︿範涓夎鍑芥暟鍩烘湰鍏紡鍙婁换鎰忚鐨勪笁瑙掑嚱鏁扮殑鍥惧儚鍜屾�ц川.鏈崟鍏冨皢鍊熷姪鍥惧儚鐞嗚В浠绘剰瑙掔殑涓夎鍑芥暟鐨勬蹇碉紝鍒╃敤鐩磋鎯宠薄鍙戠幇涓夎鍑芥暟涓暟涓庡舰涔嬮棿鐨勮仈绯伙紝浼氳〃杈惧叾鐗瑰緛涓庡叧绯伙紱鎰熷彈鐢ㄧ洿瑙傛兂璞′粠鍏蜂綋闂涓娊璞″嚭鏁板闂鐨勮繃绋嬶紝璁よ瘑鏁板涓殑閫氭�с�侀�氭硶锛涢�氳繃瀵逛笁瑙掑嚱鏁板叿浣撻棶棰樼殑鍒嗘瀽锛屽埄鐢ㄩ�昏緫鎺ㄧ悊杩涜涓夎鍑芥暟鍩烘湰鍏紡鐨勬帹瀵硷紱鍒濇鎰熺煡涓夎鍑芥暟妯″瀷鎵�鍒荤敾鐨勭畝鍗曠殑鍛ㄦ湡鎬у嚱鏁帮紱鎻愬崌鏁板杩愮畻銆佺洿瑙傛兂璞°�侀�昏緫鎺ㄧ悊鍜屾暟瀛︽娊璞＄瓑鏍稿績绱犲吇.
+ </p>
+ </div>
</div>
</div>
<!-- 鐩爣 -->
<div class="page-box" page="161">
<div v-if="showPageList.indexOf(161) > -1">
-
- <div class="padding-116">鐩爣</div>
+ <div class="padding-116">
+ <p class="left"><img class="inline2" alt="" src="../../assets/images/xxmb.jpg" /></p>
+ <div class="fieldset">
+ <p>1.瑙掔殑姒傚康鎺ㄥ箍.</p>
+ <p>鐭ラ亾鎺ㄥ箍瑙掔殑鎰忎箟鍜屼换鎰忚鎵�鍦ㄧ殑璞￠檺锛岃兘璇嗗埆缁堣竟鐩稿悓鐨勮.</p>
+ <p>2.寮у害鍒�.</p>
+ <p>鐭ラ亾寮曞叆寮у害鍒剁殑鎰忎箟锛屼細杩涜瑙掑害涓庡姬搴︾殑鎹㈢畻.</p>
+ <p>3.浠绘剰瑙掔殑姝ｅ鸡鍑芥暟銆佷綑寮﹀嚱鏁板拰姝ｅ垏鍑芥暟.</p>
+ <p>
+ 鑳芥牴鎹换鎰忚鐨勪笁瑙掑嚱鏁帮紙姝ｅ鸡鍑芥暟銆佷綑寮﹀嚱鏁板拰姝ｅ垏鍑芥暟锛夊畾涔夛紝鍒ゆ柇涓夎鍑芥暟鍊肩殑绗﹀彿.
+ </p>
+ <p>4.鍚岃涓夎鍑芥暟鐨勫熀鏈叧绯�.</p>
+ <p>
+ 浼氭牴鎹笁瑙掑嚱鏁扮殑瀹氫箟鎴栧�熷姪鍗曚綅鍦嗭紝鎺ㄥ鍚岃涓夎鍑芥暟鐨勫钩鏂瑰叧绯诲拰鍟嗘暟鍏崇郴锛岃兘杩涜鏈夊叧鍖栫畝鍜岃绠�.
+ </p>
+ <p>5.璇卞鍏紡.</p>
+ <p>鐭ラ亾璇卞鍏紡鍦ㄤ笁瑙掑嚱鏁版眰鍊间笌鍖栫畝涓殑浣滅敤.</p>
+ <p>6.姝ｅ鸡鍑芥暟銆佷綑寮﹀嚱鏁扮殑鍥惧儚鍜屾�ц川.</p>
+ <p>浼氬�熷姪浠ｆ暟杩愮畻涓庡嚑浣曠洿瑙傦紝璁よ瘑姝ｅ鸡鍑芥暟銆佷綑寮﹀嚱鏁扮殑鍥惧儚鍜屾�ц川锛�</p>
+ <p>鐭ラ亾杩愮敤鈥滀簲鐐规硶鈥濆彲浠ョ敾鍑烘寮﹀嚱鏁般�佷綑寮﹀嚱鏁板湪涓�涓懆鏈熶笂鐨勭畝鍥�.</p>
+ <p>7.宸茬煡涓夎鍑芥暟鍊兼眰鎸囧畾鑼冨洿鐨勮.</p>
+ <p>鐭ラ亾鐗规畩鐨勪笁瑙掑嚱鏁板�间笌[0锛�2<i>蟺</i>]鑼冨洿鍐呰鐨勫搴斿叧绯伙紱</p>
+ <p>浼氱敤璁＄畻宸ュ叿杩涜鏈夊叧鐨勪笁瑙掕绠�.</p>
+ </div>
+ </div>
</div>
</div>
-
-
-
<!-- 155 -->
<div class="page-box" page="162">
<div v-if="showPageList.indexOf(162) > -1">
@@ -32,7 +59,31 @@
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h2 id="b030">
+ 5.1 瑙掔殑姒傚康鎺ㄥ箍<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+ </h2>
+ <h3 id="c048">5.1.1 瑙掔殑姒傚康鐨勬帹骞�<span class="fontsz2">锛烇紴锛�</span></h3>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /></p>
+ <p>
+ 锛�1锛�
+ 涓浗璺虫按闃熶韩鏈夊ゥ杩愨�滄ⅵ涔嬮槦鈥濈殑缇庤獕.鑷�1984骞村埌2016骞达紝濂ヨ繍浼氳烦姘撮」鐩竴鍏变骇鐢熶簡56鏋氬ゥ杩愰噾鐗岋紝涓浗璺虫按闃熶竴鍏卞ず寰椾簡40鏋氾紝绾﹀崰鍏朵腑鐨�71.4%.濡傚浘5-1锛�1锛�
+ 鎵�绀猴紝璺虫按姣旇禌涓湁鈥滃悜鍓嶇炕鑵句竴鍛ㄥ崐鈥濆拰鈥滃悜鍚庣炕鑵句袱鍛ㄥ崐鈥濈殑鍔ㄤ綔锛屼綘鐭ラ亾杩欎袱涓姩浣滃垎鍒〃绀虹殑鏃嬭浆鐨勮搴︽槸澶氬皯鍚楋紵
+ </p>
+ <p>
+ 锛�2锛�
+ 鐜潚娴锋箹鍥介檯鍏矾鑷杞﹁禌鏄垜鍥借妯℃渶澶с�佸弬璧涢槦浼嶆渶澶氱殑绔炶禌锛屼篃鏄笘鐣屼笂娴锋嫈鏈�楂樼殑鍥介檯鎬х珵璧涳紝鈥滅豢鑹层�佷汉鏂囥�佸拰璋愨�濈殑绔炶禌涓婚鍊″浣撹偛杩愬姩搴斾綆纰崇幆淇濓紝淇冭繘鏂囧寲浜ゆ祦銆佷汉涓庤嚜鐒跺拰璋愬叡鐢�.濡傚浘5-1锛�2锛�
+ 鎵�绀猴紝閫夋墜鍦ㄩ獞鑷杞︽椂锛岃嚜琛岃溅杞﹁疆鍦ㄥ墠杩涘拰鍚庨��鐨勮繃绋嬩腑鏃嬭浆褰㈡垚鐨勮涓�鏍峰悧锛�
+ </p>
+ <p class="center"><img class="img-b" alt="" src="../../assets/images/0166-1.jpg" /></p>
+ <p class="img">鍥�5-1</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 鐢熸椿涓殢澶勫彲瑙佽秴鍑�0掳锝�360掳鑼冨洿鐨勮.闂锛�1锛�
+ 涓�滃悜鍓嶇炕鑵句竴鍛ㄥ崐鈥濆拰鈥滃悜鍚庣炕鑵句袱鍛ㄥ崐鈥濈殑璺虫按鍔ㄤ綔锛屼笉浠呮湁瓒呭嚭360掳鐨勨�滀竴鍛ㄥ崐鈥濆拰鈥滀袱鍛ㄥ崐鈥濈殑瑙掞紝鑰屼笖鏃嬭浆鐨勬柟鍚戜篃涓嶅悓锛屼骇鐢熺殑鏁堟灉涔熶笉涓�鏍凤紱闂锛�2锛�
+ 涓嚜琛岃溅鍓嶈繘鏃惰溅杞嫢鏄�嗘椂閽堟柟鍚戞棆杞紝鍙互鏃嬭浆鍑犵櫨鍦堢敋鑷充笂涓囧湀锛屽悗閫�鏃惰溅杞垯鏄『鏃堕拡鏂瑰悜鏃嬭浆锛屽叾褰㈡垚鐨勮鏄笉涓�鏍风殑.鍥犳锛岃鍑嗙‘鎻忚堪杩欎簺鐜拌薄锛屽氨搴旂煡閬撴棆杞害鏁板拰鏃嬭浆鏂瑰悜锛岃繖灏遍渶瑕佸瑙掔殑姒傚康杩涜鎺ㄥ箍.
+ </p>
+ </div>
</div>
</div>
<!-- 156 -->
@@ -44,7 +95,47 @@
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+ <p>
+ 鎴戜滑瑙勫畾锛屼竴鏉″皠绾跨粫鍏剁鐐规寜閫嗘椂閽堟柟鍚戞棆杞舰鎴愮殑瑙掑彨浣�<b>姝ｈ</b>锛屽鍥�5-2锛�1锛�
+ 鎵�绀�.鎸夐『鏃堕拡鏂瑰悜鏃嬭浆褰㈡垚鐨勮鍙綔<b>璐熻</b>锛屽鍥�5-2锛�2锛�
+ 鎵�绀�.濡傛灉涓�鏉″皠绾挎病鏈夊仛浠讳綍鏃嬭浆锛屽氨绉板畠褰㈡垚浜嗕竴涓�<b>闆惰</b>锛屽鍥�5-2锛�3锛�
+ 鎵�绀�.
+ </p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0167-1.jpg" /></p>
+ <p class="img">鍥�5-2</p>
+ <p>杩欐牱鎴戜滑灏辨妸瑙掔殑姒傚康鎺ㄥ箍鍒颁簡<b>浠绘剰瑙�</b>锛屽寘鎷瑙掋�佽礋瑙掑拰闆惰.</p>
+ <div class="bk-hzjl">
+ <div class="bj1-hzjl">
+ <p class="left">
+ <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 绫绘瘮瀹炴暟<i>a</i>涓�-<i>a</i>浜掍负鐩稿弽鏁帮紝瑙�<i>伪</i>涓庤-<i>伪</i>鏄粈涔堝叧绯诲憿锛熺被姣斿疄鏁板噺娉曠殑鈥滃噺鍘讳竴涓暟绛変簬鍔犱笂杩欎釜鏁扮殑鐩稿弽鏁扳�濓紝瑙掔殑鍑忔硶鍙互杞寲涓鸿鐨勫姞娉曞悧锛熷嵆<i>伪</i>-<i>尾</i>=<i>伪</i>+锛�-<i>尾</i>锛�
+ 鎴愮珛鍚楋紵涓嶅Θ鐢诲浘璇曡瘯.
+ </p>
+ </div>
+ <p>
+ 涓轰簡绠�渚胯捣瑙侊紝鍦ㄤ笉寮曡捣娣锋穯鐨勫墠鎻愪笅锛屾垜浠妸鈥滆<i>伪</i>鈥濇垨鈥溾垹<i>伪</i>鈥濈畝璁颁负鈥�<i>伪</i>鈥�.浠婂悗鎴戜滑鍙互鐢ㄥ皬鍐欏笇鑵婂瓧姣�<i>伪</i>锛�<i>尾</i>锛�<i>纬</i>锛屸�︽潵琛ㄧず瑙�.
+ </p>
+ <p>
+ 鍦ㄩ棶棰橈紙1锛�
+ 涓紝鑻モ�滃悜鍓嶇炕鑵句竴鍛ㄥ崐鈥濊涓�<i>伪</i>=540掳锛岄偅涔堚�滃悜鍚庣炕鑵句袱鍛ㄥ崐鈥濆垯璁颁负<i>伪</i>=-900掳.鍦ㄩ棶棰橈紙2锛�
+ 涓紝鑷杞﹀墠杩涙垨鍚庨��锛岃溅杞寜閫嗘椂閽堟柟鍚戞棆杞舰鎴愭瑙掞紝鎸夐『鏃堕拡鏂瑰悜鏃嬭浆褰㈡垚璐熻.
+ </p>
+ <p>
+ 涓轰簡鏂逛究鐮旂┒锛岄�氬父鍦ㄥ钩闈㈢洿瑙掑潗鏍囩郴鍐呰璁鸿.鎴戜滑灏嗚鐨勯《鐐逛笌鍘熺偣閲嶅悎锛岃鐨勫杈逛笌<i>x</i>杞寸殑闈炶礋鍗婅酱閲嶅悎.杩欐牱锛岃鐨勭粓杈瑰湪绗嚑璞￠檺锛屽氨璇磋繖涓鏄鍑犺薄闄愯.
+ </p>
+ <p>渚嬪锛屽浘5-3涓殑690掳瑙掋��-210掳瑙掑垎鍒槸绗洓璞￠檺瑙掑拰绗簩璞￠檺瑙�.</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0167-2.jpg" /></p>
+ <p class="img">鍥�5-3</p>
+ <p>
+ 濡傛灉瑙掔殑缁堣竟鍦ㄥ潗鏍囪酱涓婏紝閭ｄ箞灏辫涓鸿繖涓涓嶅睘浜庝换浣曚竴涓薄闄愶紙涔熺О鐣岄檺瑙掞級.渚嬪锛�0掳锛�90掳锛�180掳锛�270掳锛�360掳瑙�.
+
+ </p>
+ </div>
</div>
</div>
<!-- 157 -->
@@ -59,7 +150,37 @@
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�鍦ㄥ钩闈㈢洿瑙掑潗鏍囩郴涓紝鍒嗗埆鐢诲嚭涓嬪垪鍚勮锛屽苟鎸囧嚭瀹冧滑鏄鍑犺薄闄愯.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0168-1.jpg" /></p>
+ <p class="img">鍥�5-4</p>
+ <p>锛�1锛� 225掳锛涳紙2锛� -300掳.</p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+ 浠�<i>x</i>杞寸殑闈炶礋鍗婅酱涓哄杈癸紝閫嗘椂閽堟柟鍚戞棆杞�225掳锛屽嵆褰㈡垚225掳瑙掞紝濡傚浘5-4锛�1锛�
+ 鎵�绀�.鍥犱负225掳瑙掔殑缁堣竟鍦ㄧ涓夎薄闄愬唴锛屾墍浠�225掳瑙掓槸绗笁璞￠檺瑙�.
+ </p>
+ <p>
+ 锛�2锛�
+ 浠�<i>x</i>杞寸殑闈炶礋鍗婅酱涓哄杈癸紝椤烘椂閽堟柟鍚戞棆杞�300掳锛屽嵆褰㈡垚-300掳瑙掞紝濡傚浘5-4锛�2锛�
+ 鎵�绀�.鍥犱负-300掳瑙掔殑缁堣竟鍦ㄧ涓�璞￠檺鍐咃紝鎵�浠�-300掳瑙掓槸绗竴璞￠檺瑙�.
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>1.濡傚浘鎵�绀猴紝宸茬煡閿愯鈭�<i>AOB</i>=45掳锛屽啓鍑轰笅鍥句腑绠ご鎵�绀鸿鐨勫害鏁�.</p>
+ <p class="center">
+ <img class="img-b" alt="" src="../../assets/images/0168-2.jpg" />
+ </p>
+ <p class="img">绗�1棰樺浘</p>
+ <p>2.鍦ㄥ钩闈㈢洿瑙掑潗鏍囩郴涓紝鍒嗗埆鐢诲嚭涓嬪垪鍚勮锛屽苟鎸囧嚭瀹冧滑鍚勬槸绗嚑璞￠檺瑙�.</p>
+ <p class="center">
+ <img class="img-b" alt="" src="../../assets/images/0168-3.jpg" />
+ </p>
+ <p class="img">绗�2棰樺浘</p>
+ </div>
+ </div>
</div>
</div>
<!-- 158 -->
@@ -71,7 +192,39 @@
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bj">
+ <p>3.鍒ゆ柇涓嬪垪璇存硶鏄惁姝ｇ‘锛屾纭殑鐢烩�溾垰鈥濓紝閿欒鐨勭敾鈥溍椻��.</p>
+ <p>锛�1锛� 閿愯鏄涓�璞￠檺瑙掞紝閽濊鏄浜岃薄闄愯.锛堛��锛�</p>
+ <p>锛�2锛� 灏忎簬90掳鐨勮涓�瀹氭槸閿愯.锛堛��锛�</p>
+ <p>锛�3锛� 鐩磋鏄涓�璞￠檺瑙掓垨绗簩璞￠檺瑙�.锛堛��锛�</p>
+ <p>锛�4锛� 绗簩璞￠檺瑙掍竴瀹氭瘮绗竴璞￠檺瑙掑ぇ.锛堛��锛�</p>
+ <p>
+ 4.锛�1锛�
+ 鑻�0掳锛�<i>伪</i>锛�90掳锛屽垯<i>伪</i>鏄___璞￠檺瑙掞紱鑻�90掳锛�<i>伪</i>锛�180掳锛屽垯<i>伪</i>鏄___璞￠檺瑙掞紱鑻�180掳锛�<i>伪</i>锛�270掳锛屽垯<i>伪</i>鏄___璞￠檺瑙掞紱鑻�270掳锛�<i>伪</i>锛�360掳锛屽垯<i>伪</i>鏄___璞￠檺瑙�.
+ </p>
+ <p>
+ 锛�2锛�
+ 鑻�-90掳锛�<i>伪</i>锛�0掳锛屽垯<i>伪</i>鏄___璞￠檺瑙掞紱鑻�-180掳锛�<i>伪</i>锛�-90掳锛屽垯<i>伪</i>鏄___璞￠檺瑙掞紱鑻�-270掳锛�<i>伪</i>锛�-180掳锛屽垯<i>伪</i>鏄___璞￠檺瑙掞紱鑻�-360掳锛�<i>伪</i>锛�-270掳锛屽垯<i>伪</i>鏄___璞￠檺瑙�.
+ </p>
+ </div>
+ <h3 id="c049">5.1.2 缁堣竟鐩稿悓鐨勮<span class="fontsz2">锛烇紴锛�</span></h3>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /></p>
+ <p>
+ 濡傚浘5-5鎵�绀猴紝鍦ㄥ钩闈㈢洿瑙掑潗鏍囩郴涓紝鍒嗗埆鐢诲嚭浜�-330掳锛�30掳锛�390掳瑙掞紝瑙傚療鍏剁粓杈规湁浣曡仈绯伙紵-330掳锛�390掳涓�30掳鍦ㄦ暟鍊间笂鏈変粈涔堝叧绯伙紵
+ </p>
+ <p class="center"><img class="img-f" alt="" src="../../assets/images/0169-1.jpg" /></p>
+ <p class="img">鍥�5-5</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 瑙傚療鍙戠幇锛屽浘5-5涓�-330掳锛�390掳涓�30掳瑙掔粓杈圭浉鍚岋紝骞朵笖涓�30掳瑙掔粓杈圭浉鍚岀殑杩欎簺瑙掗兘鍙互琛ㄧず鎴�30掳瑙掍笌<i>k</i>涓紙<i>k</i>鈭�<b>Z</b>锛夊懆瑙掔殑鍜岋紝濡�
+ </p>
+ <p class="center">-330掳=30掳-360掳锛堣繖閲�<i>k</i>=-1锛夛紝</p>
+ <p class="center">390掳=30掳+360掳锛堣繖閲�<i>k</i>=1锛�.</p>
+ <p>
+ 杩涗竴姝ュ垎鏋愬彲鐭ワ紝涓�30掳瑙掔粓杈圭浉鍚岀殑鎵�鏈夎閮藉彲浠ヨ〃绀烘垚30掳瑙掍笌<i>k</i>锛�<i>k</i>鈭�<b>Z</b>锛変釜鍛ㄨ鐨勫拰锛屽洜姝ゅ彲鐢ㄩ泦鍚�<i>S</i>={<i>尾</i>|<i>尾</i>=30掳+<i>k</i>路360掳锛�<i>k</i>鈭�<b>Z</b>}琛ㄧず涓�30掳瑙掔粓杈圭浉鍚岀殑瑙�.鏄剧劧锛�-330掳锛�390掳瑙掗兘鏄泦鍚�<i>S</i>涓殑鍏冪礌锛�30掳瑙掍篃鏄�<i>S</i>涓殑鍏冪礌锛堟鏃�<i>k</i>=0锛�.鍙嶄箣锛岄泦
+ </p>
+ </div>
</div>
</div>
<!-- 159 -->
@@ -85,7 +238,53 @@
<p><span>159</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ 鍚�<i>S</i>涓殑浠讳綍涓�涓厓绱犻兘涓�30掳瑙掔粓杈圭浉鍚�.
+ </p>
+ <p>涓�45掳锛�60掳锛�70掳锛�100掳锛屸�﹁缁堣竟鐩稿悓鐨勮鏋勬垚鐨勯泦鍚堝張搴旇濡備綍琛ㄨ揪鍛紵</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+ <p>
+ 涓�鑸湴锛屾墍鏈変笌<i>伪</i>缁堣竟鐩稿悓鐨勮锛岃繛鍚�<i>伪</i>鍦ㄥ唴锛屽彲浠ョ粍鎴愪竴涓泦鍚�
+ </p>
+ <p class="center">
+ <i>S</i>={<i>尾</i>|<i>尾</i>=<i>伪</i>+<i>k</i>路360掳锛�<i>k</i>鈭�<i>Z</i>}.
+ </p>
+ <p>
+ <b>浠绘剰鐨勪笌<i>伪</i>缁堣竟鐩稿悓鐨勮閮藉彲浠ヨ〃绀烘垚<i>伪</i>涓庢暣鏁颁釜鍛ㄨ锛�360掳鐨勬暣鏁板�嶏級鐨勫拰.</b>渚嬪锛屼笌100掳瑙掔粓杈圭浉鍚岀殑瑙掔粍鎴愮殑闆嗗悎涓�<i>S</i>={<i>尾</i>|<i>尾</i>=100掳+<i>k</i>路360掳锛�<i>k</i>鈭�<b>Z</b>}锛屽綋<i>k</i>=0鏃讹紝<i>尾</i>=100掳锛�<i>k</i>=1鏃讹紝<i>尾</i>=460掳锛�<i>k</i>=-1鏃讹紝<i>尾</i>=-260掳.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�鍦�0掳锝�360掳鍐咃紝鎵惧嚭涓庝笅鍒楀悇瑙掔粓杈圭浉鍚岀殑瑙掞紝骞跺垎鍒垽鏂畠浠槸绗嚑璞￠檺瑙�.
+ </p>
+ <p>锛�1锛� 600掳锛涳紙2锛� -230掳锛涳紙3锛� -890掳.</p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负600掳=240掳+360掳锛屾墍浠�600掳瑙掍笌240掳瑙掔粓杈圭浉鍚岋紝鏄涓夎薄闄愯.
+ </p>
+ <p>
+ 锛�2锛� 鍥犱负-230掳=130掳-360掳锛屾墍浠�-230掳瑙掍笌130掳瑙掔粓杈圭浉鍚岋紝鏄浜岃薄闄愯.
+ </p>
+ <p>
+ 锛�3锛� 鍥犱负-890掳=190掳-3脳360掳锛屾墍浠�-890掳瑙掍笌190掳瑙掔粓杈圭浉鍚岋紝鏄涓夎薄闄愯.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�鍐欏嚭涓嬪垪瑙掔殑闆嗗悎.
+ </p>
+ <p>锛�1锛� 缁堣竟鍦�<i>y</i>杞存鍗婅酱涓婄殑瑙掔殑闆嗗悎锛�</p>
+ <p>锛�2锛� 缁堣竟鍦�<i>y</i>杞磋礋鍗婅酱涓婄殑瑙掔殑闆嗗悎锛�</p>
+ <p>锛�3锛� 缁堣竟鍦�<i>y</i>杞翠笂鐨勮鐨勯泦鍚�.</p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍦�0掳锝�360掳鍐咃紝缁堣竟鍦�<i>y</i>杞存鍗婅酱涓婄殑瑙掓槸90掳瑙掞紝
+ </p>
+ <p>鎵�浠ワ紝缁堣竟鍦�<i>y</i>杞存鍗婅酱涓婄殑瑙掔殑闆嗗悎鏄�</p>
+ <p class="center">
+ <i>S</i>1={<i>尾</i>|<i>尾</i>=90掳+<i>k</i>路360掳锛�<i>k</i>鈭�<b>Z</b>}.
+ </p>
+ <p>锛�2锛� 鍦�0掳锝�360掳鍐咃紝缁堣竟鍦�<i>y</i>杞磋礋鍗婅酱涓婄殑瑙掓槸270掳瑙掞紝</p>
+ <p>鎵�浠ワ紝缁堣竟鍦�<i>y</i>杞磋礋鍗婅酱涓婄殑瑙掔殑闆嗗悎鏄�</p>
+ <p class="center">
+ <i>S</i>2={<i>尾</i>|<i>尾</i>=270掳+<i>k</i>路360掳锛�<i>k</i>鈭�<b>Z</b>}.
+ </p>
+ </div>
</div>
</div>
@@ -97,7 +296,58 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>锛�3锛� 缁堣竟鍦�<i>y</i>杞翠笂鐨勮鐨勯泦鍚堟槸</p>
+ <p><i>S</i>=<i>S</i><sub>1</sub>鈭�<i>S</i><sub>2</sub></p>
+ <p>
+ ={<i>尾</i>|<i>尾</i>=90掳+<i>k</i>路360掳锛�<i>k</i>鈭�<b>Z</b>}鈭獅<i>尾</i>|<i>尾</i>=270掳+<i>k</i>路360掳锛�<i>k</i>鈭�<b>Z</b>}
+ </p>
+ <p>
+ ={<i>尾</i>|<i>尾</i>=90掳+2<i>k</i>路180掳锛�<i>k</i>鈭�<b>Z</b>}鈭獅<i>尾</i>|<i>尾</i>=90掳+锛�2<i>k</i>+1锛壜�180掳锛�<i>k</i>鈭�<b>Z</b>}
+ </p>
+ <p>={<i>尾</i>|<i>尾</i>=90掳+<i>m</i>路180掳锛�<i>m</i>鈭�<b>Z</b>}.</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>1.閫夋嫨棰�.</p>
+ <p>锛�1锛� 涓�60掳瑙掔粓杈圭浉鍚岀殑瑙掔殑闆嗗悎琛ㄧず姝ｇ‘鐨勬槸锛堛��锛�.</p>
+ <p>
+ <i>A</i>.{<i>尾</i>|<i>尾</i>=60掳+<i>k</i>路360掳}
+ <i>B</i>.{<i>尾</i>|<i>尾</i>=60掳+<i>k</i>路180掳锛�<i>k</i>鈭�<b>Z</b>}
+ </p>
+ <p><i>C</i>.{<i>尾</i>|<i>尾</i>=60掳+<i>k</i>路360掳锛�<i>k</i>鈭�<b>Z</b>}</p>
+ <p>
+ <i>D</i>.{<i>尾</i>|<i>尾</i>=-60掳+<i>k</i>路360掳锛�<i>k</i>鈭�<b>Z</b>}
+ </p>
+ <p>锛�2锛� 涓�-70掳瑙掔粓杈圭浉鍚岀殑瑙掔殑闆嗗悎琛ㄧず姝ｇ‘鐨勬槸锛堛��锛�.</p>
+ <p><i>A</i>.{<i>伪</i>|<i>伪</i>=-70掳+<i>k</i>路360掳}</p>
+ <p><i>B</i>.{<i>伪</i>|<i>伪</i>=70掳+<i>k</i>路360掳锛�<i>k</i>鈭�<b>Z</b>}</p>
+ <p>
+ <i>C</i>.{<i>伪</i>|<i>伪</i>=-70掳+<i>k</i>路180掳锛�<i>k</i>鈭�<b>Z</b>}
+ </p>
+ <p>
+ <i>D</i>.{<i>伪</i>|<i>伪</i>=-70掳+<i>k</i>路360掳锛�<i>k</i>鈭�<b>Z</b>}
+ </p>
+ <p>2.濉┖棰�.</p>
+ <p>
+ 锛�1锛�
+ 鍦�0掳锝�360掳鍐咃紝涓�-50掳瑙掔粓杈圭浉鍚岀殑瑙掓槸____锛屽垯-50掳瑙掓槸绗琠__璞￠檺瑙掞紱
+ </p>
+ <p>
+ 锛�2锛� 鍦�0掳锝�360掳鍐咃紝涓�390掳瑙掔粓杈圭浉鍚岀殑瑙掓槸____锛屽垯390掳鏄___璞￠檺瑙掞紱
+ </p>
+ <p>
+ 锛�3锛�
+ 鍦�0掳锝�360掳鍐咃紝涓�-480掳瑙掔粓杈圭浉鍚岀殑瑙掓槸____锛屽垯-480掳瑙掓槸绗琠__璞￠檺瑙掞紱
+ </p>
+ <p>
+ 锛�4锛� 鍦�0掳锝�360掳鍐咃紝涓�800掳瑙掔粓杈圭浉鍚岀殑瑙掓槸____锛屽垯800掳瑙掓槸绗琠__璞￠檺瑙�.
+ </p>
+ <p>3.鍐欏嚭涓庝笅鍒楄缁堣竟鐩稿悓鐨勮鐨勯泦鍚�.</p>
+ <p>锛�1锛� 涓�0掳瑙掔粓杈圭浉鍚岀殑瑙掔殑闆嗗悎鏄痏_________________锛�</p>
+ <p>锛�2锛� 涓�180掳瑙掔粓杈圭浉鍚岀殑瑙掔殑闆嗗悎鏄痏_________________锛�</p>
+ <p>锛�3锛� 缁堣竟鍦�<i>x</i>杞翠笂鐨勮鐨勯泦鍚堟槸__________________.</p>
+ </div>
+ </div>
</div>
</div>
<!-- 161 -->
@@ -112,7 +362,56 @@
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c050">涔犻5.1<span class="fontsz2">锛烇紴锛�</span></h3>
+ <div class="bj">
+ <p>
+ <span class="bj-sp"><b>姘村钩涓�</b></span>
+ </p>
+ <p>1.230掳 瑙掓槸绗紙銆�锛夎薄闄愯.</p>
+ <p>A.涓�</p>
+ <p>B.浜�</p>
+ <p>C.涓�</p>
+ <p>D.鍥�</p>
+ <p>2.涓�-420掳瑙掔粓杈圭浉鍚岀殑瑙掓槸锛堛��锛�.</p>
+ <p>A.420掳</p>
+ <p>B.-120掳</p>
+ <p>C.280掳</p>
+ <p>D.-60掳</p>
+ <p>3.锛�1锛� 涓�70掳瑙掔粓杈圭浉鍚岀殑瑙掔殑闆嗗悎琛ㄧず涓篲_________________锛�</p>
+ <p>锛�2锛� 涓�-120掳瑙掔粓杈圭浉鍚岀殑瑙掔殑闆嗗悎琛ㄧず涓篲_________________.</p>
+ <p>
+ 4.鍦�0掳锝�360掳鍐咃紝鎵惧嚭涓庝笅鍒楀悇瑙掔粓杈圭浉鍚岀殑瑙掞紝骞跺垽鏂畠浠垎鍒槸绗嚑璞￠檺瑙�.
+ </p>
+ <p>锛�1锛�-285掳锛涳紙2锛� 570掳.</p>
+ <p>
+ 5.鎶婁笅鍒楀悇瑙掑寲鎴�<i>伪</i>+<i>k</i>路360掳锛�0掳鈮�<i>伪</i>锛�360掳锛�<i>k</i>鈭�<b>Z</b>锛夌殑褰㈠紡锛屽苟鎸囧嚭瀹冧滑鏄鍑犺薄闄愯.
+ </p>
+ <p>锛�1锛� 675掳锛涳紙2锛� -520掳.</p>
+ <p>
+ <span class="bj-sp"><b>姘村钩浜�</b></span>
+ </p>
+ <p>1.鎵惧嚭涓�1 200掳瑙掔粓杈圭浉鍚屼笖缁濆鍊兼渶灏忕殑璐熻.</p>
+ <p>
+ 2.璁�<i>伪</i>涓虹浜岃薄闄愯锛屾寚鍑�<math display="0">
+ <mfrac>
+ <mi>伪</mi>
+ <mn>2</mn>
+ </mfrac>
+ </math>鏄鍑犺薄闄愯.
+ </p>
+ <p>
+ 3.鍒嗗埆鍐欏嚭涓庝笅鍒楀悇瑙掔粓杈圭浉鍚岀殑瑙掔粍鎴愮殑闆嗗悎锛屽苟鎶婃弧瓒充笉绛夊紡-360掳锛�<i>尾</i>锛�360掳鐨�<i>尾</i>鍐欏嚭鏉�.
+ </p>
+ <p>锛�1锛� 125掳锛涳紙2锛� -380掳锛涳紙3锛� 485掳.</p>
+ </div>
+ <h2 id="b031">5.2 寮у害鍒�<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span></h2>
+ <h3 id="c051">5.2.1 寮у害鍒剁殑瀹氫箟<span class="fontsz2">锛烇紴锛�</span></h3>
+ <p class="block">
+ 2016骞�9鏈�25鏃ワ紝鍏锋湁鎴戝浗鑷富鐭ヨ瘑浜ф潈鐨勪笘鐣屾渶澶у崟鍙ｅ緞銆佹渶鐏垫晱鐨勭悆闈㈠皠鐢垫湜杩滈暅鈥滀腑鍥藉ぉ鐪尖�濆湪璐靛窞骞冲钀芥垚鍚敤.杩欎釜500
+ m鍙ｅ緞鐞冮潰灏勭數鏈涜繙闀�
+ </p>
+ </div>
</div>
</div>
<!-- 162 -->
@@ -124,7 +423,97 @@
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ 涓昏鐢ㄤ簬瀹炵幇宸¤瀹囧畽涓殑涓�ф阿銆佽娴嬭剦鍐叉槦绛夌瀛︾洰鏍囧拰绌洪棿椋炶鍣ㄦ祴閲忎笌閫氫俊绛夊簲鐢ㄧ洰鏍�.
+ </p>
+ <p class="center"><img class="img-f" alt="" src="../../assets/images/0172-2.jpg" /></p>
+ <p>
+ 鍦ㄨ 閲忓ぉ浣撲箣闂寸殑璺濈鏃讹紝鎴戜滑鍙互鐢ㄥ厜骞淬�佺背鐨勫崟浣嶅埗鏉ュ害閲忥紱瀵逛簬闈㈢Н锛屾垜浠彲浠ョ敤骞虫柟绫炽�佸叕椤风瓑涓嶅悓鐨勫崟浣嶅埗鏉ュ害閲忥紱璐ㄩ噺鍙互鐢ㄥ崈鍏嬨�佸惃绛変笉鍚岀殑鍗曚綅鍒舵潵搴﹂噺.瑙掔殑澶у皬锛屾垜浠槸鍚︿篃鑳界敤涓嶅悓鐨勫崟浣嶅埗鏉ュ害閲忥紵
+ </p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left"><img class="img-gn1" alt="" src="../../assets/images/gn.jpg" /></p>
+ </div>
+ <p class="block">瑙掑害鍒�</p>
+ <p class="block">寮у害鍒�</p>
+ <p class="block">寮у害</p>
+ </div>
+ <p>
+ 鎴戜滑鐭ラ亾锛岃鍙互浠ュ害涓哄崟浣嶈繘琛屽害閲忥紝鎶婂懆瑙掔殑<math display="0">
+ <mfrac>
+ <mn>1</mn>
+ <mn>360</mn>
+ </mfrac>
+ </math>鎵�瀵瑰簲鐨勫渾蹇冭瑙勫畾涓�1搴︾殑瑙掞紝璁颁负1掳.杩欑浠ュ害涓哄崟浣嶆潵搴﹂噺瑙掔殑鍗曚綅鍒讹紝鍙綔<b>瑙掑害鍒�</b>.
+ </p>
+ <p>
+ 鍦ㄦ暟瀛﹀拰鍏朵粬绉戝鐮旂┒涓紝缁忓父浣跨敤鍙︿竴绉嶅害閲忚鐨勫崟浣嶅埗鈥斺��<b>寮у害鍒�</b>.
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+ <p>
+ 鎴戜滑瑙勫畾锛岄暱搴︾瓑浜庡崐寰勭殑鍦嗗姬鎵�瀵圭殑鍦嗗績瑙掑彨浣�1寮у害鐨勮锛屽姬搴﹀崟浣嶇敤绗﹀彿rad琛ㄧず锛岃浣滃姬搴�.1寮у害鐨勮灏辫浣�1
+ rad锛岃浣溾��1寮у害鈥濓紝濡傚浘5-6鎵�绀�.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0173-2.jpg" /></p>
+ <p class="img">鍥�5-6</p>
+ <p>
+ 鏍规嵁涓婅堪瑙勫畾鍙煡锛屽湪鍗婂緞涓�<i>r</i>鐨勫渾涓紝鑻ュ姬闀夸负<i>l</i>鐨勫姬鎵�瀵圭殑鍦嗗績瑙掍负<i>伪</i>
+ rad锛屽垯<i>伪</i>鐨勫ぇ灏忎负
+ </p>
+ <math display="block">
+ <mo stretchy="false">|</mo>
+ <mi>伪</mi>
+ <mrow>
+ <mo stretchy="false">|</mo>
+ </mrow>
+ <mo>=</mo>
+ <mfrac>
+ <mi>l</mi>
+ <mi>r</mi>
+ </mfrac>
+ <mtext>. </mtext>
+ </math>
+ <p>
+ <i>伪</i>鐨勬璐熺敱<i>伪</i>鐨勫杈瑰埌缁堣竟鐨勬棆杞柟鍚戝喅瀹氾紝閫嗘椂閽堟柟鍚戞棆杞负姝ｏ紝椤烘椂閽堟柟鍚戞棆杞负璐�.
+ </p>
+ <p>
+ 褰撲竴涓渾鐨勫崐寰勪负<i>r</i>鏃讹紝鑻ュ渾蹇冭鈭�<i>AOB</i>鎵�瀵圭殑鍦嗗姬闀夸负2<i>r</i>锛屽垯鈭�<i>AOB</i>鐨勫姬搴︽暟灏变负<math display="0">
+ <mfrac>
+ <mrow>
+ <mn>2</mn>
+ <mi>r</mi>
+ </mrow>
+ <mi>r</mi>
+ </mfrac>
+ <mo>=</mo>
+ <mn>2</mn>
+ <mrow>
+ <mi mathvariant="normal">r</mi>
+ <mi mathvariant="normal">a</mi>
+ <mi mathvariant="normal">d</mi>
+ </mrow>
+ </math>=2
+ rad锛堝鍥�5-7锛�1锛夛級锛涜嫢鍦嗗績瑙掆垹<i>AOB</i>鎵�瀵圭殑鍦嗗姬闀夸负鏁翠釜鍦嗗懆闀�2<i>蟺r</i>锛屽垯鈭�<i>AOB</i>鐨勫姬搴︽暟灏变负<math display="0">
+ <mfrac>
+ <mrow>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ <mi>r</mi>
+ </mrow>
+ <mi>r</mi>
+ </mfrac>
+ <mo>=</mo>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ <mrow>
+ <mi mathvariant="normal">r</mi>
+ <mi mathvariant="normal">a</mi>
+ <mi mathvariant="normal">d</mi>
+ </mrow>
+ </math>锛堝鍥�5-7锛�2锛夛級锛屽嵆涓�涓懆瑙掔殑寮у害鏁版槸2<i>蟺 rad</i>.
+ </p>
+ </div>
</div>
</div>
<!-- 163 -->
@@ -138,7 +527,275 @@
<p><span>163</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bk">
+ <p>360掳=2<i>蟺</i> rad锛� 180掳=<i>蟺</i> rad锛�</p>
+ <p>
+ <math display="0">
+ <msup>
+ <mn>1</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>180</mn>
+ </mfrac>
+ <mi>rad</mi>
+ <mo>鈮�</mo>
+ <mn>0.01745</mn>
+ <mrow>
+ <mi mathvariant="normal">r</mi>
+ <mi mathvariant="normal">a</mi>
+ <mi mathvariant="normal">d</mi>
+ </mrow>
+ </math>锛�
+ </p>
+ <p>
+ <math display="0">
+ <mn>1</mn>
+ <mrow>
+ <mi mathvariant="normal">r</mi>
+ <mi mathvariant="normal">a</mi>
+ <mi mathvariant="normal">d</mi>
+ </mrow>
+ <mo>=</mo>
+ <mfrac>
+ <msup>
+ <mn>180</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mi>蟺</mi>
+ </mfrac>
+ <mo>鈮�</mo>
+ <msup>
+ <mn>57.30</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <msup>
+ <mn>57</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <msup>
+ <mn>18</mn>
+ <mrow>
+ <mi data-mjx-alternate="1" mathvariant="normal">鈥�</mi>
+ </mrow>
+ </msup>
+ </math>.
+ </p>
+ </div>
+ <p class="center"><img class="img-b" alt="" src="../../assets/images/0174-3.jpg" /></p>
+ <p class="img">鍥�5-7</p>
+ <p>
+ 涓轰簡绠�渚胯捣瑙侊紝浠ュ姬搴︿负鍗曚綅琛ㄧず瑙掔殑澶у皬鏃讹紝鍗曚綅鈥滃姬搴︹�濇垨鈥渞ad鈥濅竴鑸渷鐣ヤ笉鍐�.渚嬪锛�1
+ rad锛�<math display="0">
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mrow>
+ <mi mathvariant="normal">r</mi>
+ <mi mathvariant="normal">a</mi>
+ <mi mathvariant="normal">d</mi>
+ </mrow>
+ </math>锛�0 rad 鍙畝鍐欐垚1锛�<math display="0">
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ </math>锛�0.
+ </p>
+ <p>涓�鑸湴锛屾瑙掔殑寮у害鏁颁负姝ｆ暟锛岃礋瑙掔殑寮у害鏁颁负璐熸暟锛岄浂瑙掔殑寮у害鏁颁负0.</p>
+ <p>
+ 褰撳舰鎴愯鐨勫皠绾挎棆杞竴鍛ㄥ悗缁х画鏃嬭浆锛屽氨鍙互寰楀埌寮у害鏁板ぇ浜�2<i>蟺</i>鎴栧皬浜�-2<i>蟺</i>鐨勮.杩欐牱灏卞彲浠ュ緱鍒颁换鎰忓姬搴︽暟鐨勮.
+ </p>
+ <p>
+ 鍥犳锛屾瘡涓�涓‘瀹氱殑瑙掗兘鏈夊敮涓�纭畾鐨勫疄鏁颁笌瀹冨搴旓紱鍙嶄箣锛屾瘡涓�涓‘瀹氱殑瀹炴暟涔熼兘鏈夊敮涓�纭畾鐨勮涓庡畠瀵瑰簲锛屽鍥�5-8鎵�绀�.杩欐牱锛岃涓庡疄鏁颁箣闂村氨寤虹珛浜嗕竴涓�瀵瑰簲鐨勫叧绯�.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0174-6.jpg" /></p>
+ <p class="img">鍥�5-8</p>
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�鎶婁笅鍒楀悇瑙掑寲涓哄姬搴�.
+ </p>
+ <p>锛�1锛� 30掳锛涳紙2锛� -225掳锛涳紙3锛� 0掳.</p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mo stretchy="false">锛�1锛�</mo>
+ <msup>
+ <mn>30</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mn>30</mn>
+ <mo>脳</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>180</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo>.</mo>
+ </math>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mo stretchy="false">锛�2锛�</mo>
+ <mo>鈭�</mo>
+ <msup>
+ <mn>225</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mn>225</mn>
+ <mo>脳</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>180</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>5</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ <mo>.</mo>
+ </math>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mo stretchy="false">锛�3锛�</mo>
+ <msup>
+ <mn>0</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mn>0</mn>
+ <mo>脳</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>180</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mn>0</mn>
+ <mo>.</mo>
+ </math>
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�鎶婁笅鍒楀悇瑙掑寲涓鸿搴�.
+ </p>
+ <p>
+ 锛�1锛�
+ <math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ </math>锛涳紙2锛� 5rad锛堢粨鏋滅簿纭埌0.01锛�.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mo stretchy="false">锛�1锛�</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <msup>
+ <mn>180</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mn>3</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <msup>
+ <mn>60</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>.</mo>
+ </math>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mo stretchy="false">锛�2锛�</mo>
+ <mn>5</mn>
+ <mrow>
+ <mi mathvariant="normal">r</mi>
+ <mi mathvariant="normal">a</mi>
+ <mi mathvariant="normal">d</mi>
+ </mrow>
+ <mo>=</mo>
+ <mn>5</mn>
+ <mo>脳</mo>
+ <mfrac>
+ <msup>
+ <mn>180</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mi>蟺</mi>
+ </mfrac>
+ <mo>鈮�</mo>
+ <msup>
+ <mn>286.44</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>.</mo>
+ </math>
+ </p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 寮у害鍖栬搴︽椂,濡傛灉寮忓瓙閲屾湁<i>蟺</i> ,鐩存帴鎶�<i>蟺</i>杞寲鎴�180掳鍗冲彲.
+ </p>
+ </div>
+ </div>
</div>
</div>
@@ -150,7 +807,68 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ <span class="zt-ls"><b>渚�3</b></span>銆�鍒╃敤绉戝璁＄畻鍣紝鎶婁笅鍒楀悇瑙掕繘琛屽姬搴︿笌瑙掑害鐨勪簰鍖�.锛堢粨鏋滅簿纭埌0.01锛�
+ </p>
+ <p>锛�1锛� -5.6锛涳紙2锛� 154掳13鈥�.</p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+ 鍏堝皢绉戝璁＄畻鍣ㄧ殑绮剧‘搴﹁缃负0.01锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓鸿搴﹁绠楁ā寮忥紝绉戝璁＄畻鍣ㄢ厾鎸�<img class="inline" alt=""
+ src="../../assets/images/0175-1.jpg" />锛岀瀛﹁绠楀櫒鈪℃寜<img class="inline" alt=""
+ src="../../assets/images/0175-2.jpg" />.涔嬪悗渚濇鎸変笅鍒楀悇閿�.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0175-3.jpg" /></p>
+ <p>缁撴灉鏄剧ず锛�</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0175-4.jpg" /></p>
+ <p>鎵�浠ャ��-5.6 <i>rad</i> 鈮�-320.86掳.</p>
+ <p>
+ 锛�2锛�
+ 鍏堝皢绉戝璁＄畻鍣ㄧ殑绮剧‘搴﹁缃负0.01锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓哄姬搴﹁绠楁ā寮忥紝绉戝璁＄畻鍣ㄢ厾鎸�<img class="inline" alt=""
+ src="../../assets/images/0175-5.jpg" />锛岀瀛﹁绠楀櫒鈪℃寜<img class="inline" alt=""
+ src="../../assets/images/0175-6.jpg" />.涔嬪悗渚濇鎸変笅鍒楀悇閿�.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0175-7.jpg" /></p>
+ <p>缁撴灉鏄剧ず锛�</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0175-8.jpg" /></p>
+ <p>鎵�浠ャ��154掳13鈥测増2.69 rad.</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>1.琛ュ厖涓嬪垪琛ㄦ牸.</p>
+ <p class="img">琛�5-1</p>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0175-9.jpg" />
+ </p>
+ <p>2.瑙掑害涓庡姬搴︿簰鍖�.</p>
+ <p>锛�1锛� 225掳=____锛涳紙2锛� -330掳=____锛�</p>
+ <p>
+ 锛�3锛�
+ <math display="0">
+ <mfrac>
+ <mrow>
+ <mn>9</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ <mo>=</mo>
+ </math>____锛涳紙4锛�
+ <math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>5</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>6</mn>
+ </mfrac>
+ <mo>=</mo>
+ </math>____.
+ </p>
+ <p>3.鍒╃敤绉戝璁＄畻鍣紝杩涜寮у害涓庤搴︾殑浜掑寲.锛堢粨鏋滅簿纭埌0.01锛�</p>
+ <p>锛�1锛� -3 <i>rad</i> =____锛涳紙2锛� 12掳=____.</p>
+ </div>
+ </div>
</div>
</div>
<!-- 165 -->
@@ -164,7 +882,255 @@
<p><span>165</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c052">
+ 5.2.2 寮ч暱鍏紡銆佹墖褰㈢殑闈㈢Н鍏紡<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /></p>
+ <p>瀛︿範浜嗗姬搴﹀埗鍚庯紝浣犺兘鎺ㄥ鍑哄姬搴﹀埗涓嬬殑寮ч暱鍜屾墖褰㈢殑闈㈢Н鍏紡鍚楋紵</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0176-1.jpg" /></p>
+ <p class="img">鍥�5-9</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 濡傚浘5-9鎵�绀猴紝宸茬煡鍗婂緞涓�<i>r</i>鐨勫渾锛岃鍦嗗績瑙�<i>伪</i>=<i>n</i>掳锛屼笖0掳锛�<i>伪</i>锛�360掳锛�<i>伪</i>鎵�瀵圭殑<math display="0">
+ <mover>
+ <mrow>
+ <mi>A</mi>
+ <mi>B</mi>
+ </mrow>
+ <mo>鈴�</mo>
+ </mover>
+ </math>闀夸负<i>l</i>锛�<i>伪</i>鎵�瀵瑰簲鐨勬墖褰㈤潰绉负<i>S</i>锛屽垯
+ </p>
+ <p class="center">
+ <math display="">
+ <mfrac>
+ <mi>l</mi>
+ <mrow>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ <mi>r</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mi>n</mi>
+ <mn>360</mn>
+ </mfrac>
+ </math>锛屽嵆<math display="0">
+ <mi>l</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>n</mi>
+ <mi>蟺</mi>
+ <mi>r</mi>
+ </mrow>
+ <mn>180</mn>
+ </mfrac>
+ </math>(<i>n</i>掳鐨勫渾蹇冭鎵�瀵圭殑寮ч暱涓�<math display="0">
+ <mfrac>
+ <mrow>
+ <mi>n</mi>
+ <mi>蟺</mi>
+ <mi>r</mi>
+ </mrow>
+ <mn>180</mn>
+ </mfrac>
+ </math>).
+ </p>
+ <p class="center">
+ <math display="">
+ <mfrac>
+ <mi>S</mi>
+ <mrow>
+ <mi>蟺</mi>
+ <msup>
+ <mi>r</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mi>n</mi>
+ <mn>360</mn>
+ </mfrac>
+ </math>锛屽嵆<math display="0">
+ <mi>S</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>n</mi>
+ <mi>蟺</mi>
+ <msup>
+ <mi>r</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </mrow>
+ <mn>360</mn>
+ </mfrac>
+ </math>锛�<i>n</i>掳鐨勫渾蹇冭鎵�瀵瑰簲鐨勬墖褰㈤潰绉负<math display="0">
+ <mfrac>
+ <mrow>
+ <mi>n</mi>
+ <mi>蟺</mi>
+ <msup>
+ <mi>r</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </mrow>
+ <mn>360</mn>
+ </mfrac>
+ </math>锛�.
+ </p>
+ <p>
+ 鎴戜滑鐭ラ亾锛屽姬闀�<i>l</i>涓庡崐寰�<i>r</i>鐨勬瘮鍊肩瓑浜庢墍瀵瑰渾蹇冭鐨勫姬搴︽暟锛屽嵆<i>伪</i>锛�<i>r</i>锛�<i>l</i>涓夎�呬箣闂存弧瓒冲叧绯诲紡
+ </p>
+ <math display="block">
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>l</mi>
+ <mi>r</mi>
+ </mfrac>
+ <mo>.</mo>
+ </math>
+ <p>鎵�浠ワ紝寮ч暱鍏紡涓�<i>l</i>=<i>伪r</i>.</p>
+ <p>
+ 鎵囧舰鐨勫渾蹇冭涓�<i>伪</i>锛�0锛�<i>伪</i>锛�2<i>蟺</i>锛夛紝鍦嗗懆瑙掍负2<i>蟺</i>锛屽渾闈㈢Н涓�<i>蟺r</i><sup>2</sup>锛屾墍浠ュ渾蹇冭涓�<i>伪</i>鐨勬墖褰㈤潰绉负
+ </p>
+ <math display="block">
+ <mi>S</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>伪</mi>
+ <mrow>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ </mrow>
+ </mfrac>
+ <mo>鈰�</mo>
+ <mi>蟺</mi>
+ <msup>
+ <mi>r</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mi>伪</mi>
+ <msup>
+ <mi>r</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mi>r</mi>
+ <mo>鈰�</mo>
+ <mi>伪</mi>
+ <mi>r</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mi>r</mi>
+ <mi>l</mi>
+ <mo>.</mo>
+ </math>
+ <p>
+ 灏嗛噰鐢ㄨ搴﹀埗琛ㄧず鐨勫拰寮у害鍒惰〃绀虹殑寮ч暱鍏紡涓庢墖褰㈢殑闈㈢Н鍏紡杩涜瀵规瘮鍙煡锛岄噰鐢ㄥ姬搴﹀埗鍚庡姬闀垮叕寮忓拰鎵囧舰鐨勯潰绉叕寮忓氨鏇寸畝娲佷簡.
+ </p>
+ <p class="center"><img class="img-d" alt="" src="../../assets/images/0176-11.jpg" /></p>
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�鎴嚦2021骞�4鏈堬紝涓浗楂橀�熷叕璺�婚噷绋嬬害涓�16涓囧崈绫筹紝浣嶅眳鍏ㄧ悆绗竴.鏌愰珮閫熷叕璺浆寮涓轰竴寮у舰楂樻灦妗ワ紝娴嬪緱姝ゅ鍏矾涓嚎鐨勬�婚暱涓�1
+ 200 m锛岃寮у舰楂樻灦妗ユ墍瀵瑰簲鐨勫渾蹇冭涓�<math display="0">
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>5</mn>
+ </mfrac>
+ </math>锛屾眰璇ュ姬褰㈤珮鏋舵ˉ鐨勮浆寮崐寰勶紙缁撴灉绮剧‘鍒�1 m锛�.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 鐢遍鎰忓彲鐭ワ紝<i>l</i>=1 200锛�<math display="0">
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>5</mn>
+ </mfrac>
+ </math>锛岀敱<i>l</i>=<i>伪r</i>鍙緱
+ </p>
+ <math display="block">
+ <mi>r</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>l</mi>
+ <mi>伪</mi>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1200</mn>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>5</mn>
+ </mfrac>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mn>1200</mn>
+ <mo>脳</mo>
+ <mn>5</mn>
+ </mrow>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>2000</mn>
+ <mi>蟺</mi>
+ </mfrac>
+ <mo>鈮�</mo>
+ <mn>645</mn>
+ <mo stretchy="false">(</mo>
+ <mrow>
+ <mtext> </mtext>
+ <mi mathvariant="normal">m</mi>
+ </mrow>
+ <mo stretchy="false">)</mo>
+ <mo>.</mo>
+ </math>
+ <p>鎵�浠ワ紝璇ュ姬褰㈤珮鏋舵ˉ鐨勮浆寮崐寰勭害涓�645 m.</p>
+
+ </div>
</div>
</div>
@@ -176,8 +1142,128 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
-
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0177-1.jpg" /></p>
+ <p class="img">鍥�5-10</p>
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�濡傚浘5-10鎵�绀猴紝瑕佸湪涓�鍧楀簾閾佺毊涓婂壀鍑轰竴涓墖褰紝鐢ㄤ簬鍒朵綔涓�涓渾閿ョ瓛锛岃姹傝繖涓墖褰㈢殑鍦嗗績瑙掍负60掳锛屽崐寰勪负90
+ cm .璇锋眰鍑鸿繖涓墖褰㈢殑寮ч暱涓庨潰绉�.锛堢粨鏋滃垎鍒簿纭埌0.01 cm鍜�0.01
+ cm<sup>2</sup>锛�
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 鐢变簬<math display="0">
+ <msup>
+ <mn>60</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ </math>锛� 鎵�浠�
+ </p>
+ <math display="block">
+ <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mi>l</mi>
+ <mo>=</mo>
+ <mi>伪</mi>
+ <mi>r</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ <mo>脳</mo>
+ <mn>90</mn>
+ <mo>=</mo>
+ <mn>30</mn>
+ <mi>蟺</mi>
+ <mo>鈮�</mo>
+ <mn>94.26</mn>
+ <mo stretchy="false">(</mo>
+ <mrow>
+ <mtext> </mtext>
+ <mi mathvariant="normal">c</mi>
+ <mi mathvariant="normal">m</mi>
+ </mrow>
+ <mo stretchy="false">)</mo>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mi>S</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mi>r</mi>
+ <mi>l</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo>脳</mo>
+ <mn>90</mn>
+ <mo>脳</mo>
+ <mn>30</mn>
+ <mi>蟺</mi>
+ <mo>鈮�</mo>
+ <mn>4241.70</mn>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mrow>
+ <mtext> </mtext>
+ <mi mathvariant="normal">c</mi>
+ <mi mathvariant="normal">m</mi>
+ </mrow>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>.</mo>
+ </mtd>
+ </mtr>
+ </mtable>
+ </math>
+ <p>鎵�浠ワ紝杩欎釜鎵囧舰鐨勫姬闀跨害涓�94.26 cm锛岄潰绉害涓�4 241.70 cm<sup>2</sup>.</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>
+ 1.瑕佸湪涓�涓崐寰勪负120 mm鐨勫渾褰㈠鏂欎笂鍒囧壊涓�鐗囧姬闀夸负144
+ mm鐨勬墖褰㈢墿鏂欙紝鍒囧壊鏃讹紝璇ュ姬鎵�瀵瑰簲鐨勫渾蹇冭锛堟瑙掞級涓篲___寮у害.2.鑻ュ姬褰㈣姳鍙扮殑寮ч暱涓�20
+ m锛岃寮ф墍瀵瑰簲鐨勫渾蹇冭涓�1.6 rad锛屽垯璇ュ姬褰㈣姳鍙板搴旂殑杞集鍗婂緞鏄痏___m.
+ </p>
+ <p>
+ 3.鑻ユ墖褰㈢殑鍦嗗績瑙掍负<math display="0">
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ </math>锛屽崐寰勪负5 cm锛屽垯姝ゆ墖褰㈢殑寮ч暱涓篲___cm锛岄潰绉负____cm<sup>2</sup>.
+ </p>
+ </div>
+ <h3 id="c053">涔犻5.2<span class="fontsz2">锛烇紴锛�</span></h3>
+ <div class="bj">
+ <p>
+ <span class="bj-sp"><b>姘村钩涓�</b></span>
+ </p>
+ <p>1.鍦ㄤ笅鍥句腑濉叆閫傚綋鐨勫��.</p>
+ <p class="center">
+ <img class="img-f" alt="" src="../../assets/images/0177-5.jpg" />
+ </p>
+ <p class="img">绗�1棰樺浘</p>
+ </div>
+ </div>
</div>
</div>
@@ -193,7 +1279,179 @@
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bj">
+ <p>2.瑙掑害涓庡姬搴︿簰鍖�.</p>
+ <p>锛�1锛� 135掳=____锛涳紙2锛� -225掳=____锛�</p>
+ <p>
+ 锛�3锛� -300掳=___锛涳紙4锛�
+ <math display="0">
+ <mfrac>
+ <mn>2</mn>
+ <mn>3</mn>
+ </mfrac>
+ <mi>蟺</mi>
+ <mo>=</mo>
+ </math>
+ </p>
+ <p>
+ 锛�5锛�
+ <math display="0">
+ <mfrac>
+ <mrow>
+ <mn>5</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ <mo>=</mo>
+ </math>锛涳紙6锛�-3<i>蟺</i>=____.
+ </p>
+ <p>
+ 3.锛�1锛� 鑻�<math display="0">
+ <mi>伪</mi>
+ <mo>鈭�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>,</mo>
+ <mi>蟺</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛屽垯<i>伪</i>鏄____璞￠檺瑙掞紝<math display="0">
+ <mfrac>
+ <mi>伪</mi>
+ <mn>2</mn>
+ </mfrac>
+ </math>鏄____璞￠檺瑙掞紱
+ </p>
+ <p>
+ 锛�2锛� 鑻�<math display="0">
+ <mi>伪</mi>
+ <mo>鈭�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>蟺</mi>
+ <mo>,</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛屽垯<i>伪</i>鏄____璞￠檺瑙掞紝<math display="0">
+ <mfrac>
+ <mi>伪</mi>
+ <mn>2</mn>
+ </mfrac>
+ </math>鏄____璞￠檺瑙�.
+ </p>
+ <p>4.涓夎褰㈢殑涓変釜鍐呰鐨勫害鏁颁箣姣斾负1鈭�2鈭�3锛屾眰鏈�灏忓唴瑙掔殑寮у害鏁�.</p>
+ <p>5.缁忚繃1 <i>h</i>锛岄挓琛ㄧ殑鏃堕拡鍜屽垎閽堝悇杞簡澶氬皯搴︼紵鍒嗗埆鏄灏戝姬搴︼紵</p>
+ <p>
+ <span class="bj-sp"><b>姘村钩浜�</b></span>
+ </p>
+ <p>1.宸茬煡鎵囧舰鐨勯潰绉负2锛屾墖褰㈢殑鍦嗗績瑙掔殑寮у害鏁颁负4锛屾眰璇ユ墖褰㈢殑鍛ㄩ暱.</p>
+ <p>
+ 2.瑕佸湪鍗婂緞涓�100 cm鐨勫渾閲戝睘鏉夸笂鎴彇涓�鍧楁墖褰㈡澘锛屼娇瀹冪殑寮ч暱涓�112
+ cm锛屾眰璇ュ姬鎵�瀵圭殑鍦嗗績瑙掔殑寮у害鏁颁笌瑙掑害鏁�.锛堢粨鏋滅簿纭埌1掳锛�
+ </p>
+ <p>
+ 3.宸茬煡闀�50 cm 鐨勫姬鎵�瀵圭殑鍦嗗績瑙掍负200掳锛屾眰璇ュ姬鎵�鍦ㄥ渾鐨勫崐寰�.锛堢粨鏋滅簿纭埌1
+ cm锛�
+ </p>
+ </div>
+ <h2 id="b032">
+ 5.3 浠绘剰瑙掔殑姝ｅ鸡鍑芥暟銆佷綑寮﹀嚱鏁板拰姝ｅ垏鍑芥暟<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+ </h2>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/zshg.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 鍒濅腑鎴戜滑鍦≧t鈻�<i>ABC</i>涓畾涔変簡閿愯<i>伪</i>鐨勬寮︺�佷綑寮﹀拰姝ｅ垏锛屽鍥�5-11鎵�绀�.
+ </p>
+ <p class="center">
+ <img class="img-c" alt="" src="../../assets/images/0178-7.jpg" />
+ </p>
+ <p class="img">鍥�5-11</p>
+ <p class="block">
+ 姝ｅ鸡锛�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>a</mi>
+ <mi>c</mi>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi mathvariant="normal">鈭�</mi>
+ <mi>伪</mi>
+ <mtext> 鐨勫杈� </mtext>
+ </mrow>
+ <mtext> 鏂滆竟 </mtext>
+ </mfrac>
+ </math>.
+ </p>
+ <p class="block">
+ 浣欏鸡锛�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>b</mi>
+ <mi>c</mi>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi mathvariant="normal">鈭�</mi>
+ <mi>伪</mi>
+ <mtext> 鐨勯偦杈� </mtext>
+ </mrow>
+ <mtext> 鏂滆竟 </mtext>
+ </mfrac>
+ </math>.
+ </p>
+ <p class="block">
+ 姝ｅ垏锛�<math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>a</mi>
+ <mi>b</mi>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi mathvariant="normal">鈭�</mi>
+ <mi>伪</mi>
+ <mtext> 鐨勫杈� </mtext>
+ </mrow>
+ <mrow>
+ <mi mathvariant="normal">鈭�</mi>
+ <mi>伪</mi>
+ <mtext> 鐨勯偦杈� </mtext>
+ </mrow>
+ </mfrac>
+ </math>.
+ </p>
+ </div>
+ </div>
</div>
</div>
@@ -206,7 +1464,220 @@
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0179-1.jpg" /></p>
+ <p class="img">鍥�5-12</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /></p>
+ <p>
+ 鐜板湪鎴戜滑灏嗕竴涓攼瑙�<i>伪</i>鏀惧叆骞抽潰鐩磋鍧愭爣绯讳腑锛屼娇寰楅《鐐逛笌鍘熺偣閲嶅悎锛屽杈逛笌<i>x</i>杞寸殑闈炶礋鍗婅酱閲嶅悎锛屽鍥�5-12鎵�绀�.宸茬煡鐐�<i>P</i>锛�<i>x</i>锛�<i>y</i>锛夋槸閿愯<i>伪</i>缁堣竟涓婄殑浠绘剰涓�鐐癸紝鐐�
+ <i>P</i>涓庡師鐐�<i>O</i>鐨勮窛绂�<i>OP</i>=<i>r</i>锛�<i>r</i>锛�0锛夛紝浣犺兘鍒╃敤閿愯涓夎鍑芥暟鐨勫畾涔夎绠楀嚭閿愯<i>伪</i>鎵�瀵瑰簲鐨勪笁瑙掑嚱鏁板�煎悧锛�
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 杩囩偣<i>P</i>浣�<i>x</i>杞寸殑鍨傜嚎锛屽瀭瓒充负<i>M</i>锛屽垯绾挎<i>OM</i>鐨勯暱搴︿负<i>x</i>锛岀嚎娈�<i>MP</i>鐨勯暱搴︿负<i>y</i>.
+ </p>
+ <p>
+ 鍦�<i>Rt</i> 鈻�<i>OMP</i>涓紝鏍规嵁鍕捐偂瀹氱悊鍙緱锛�<math display="0">
+ <mi>r</mi>
+ <mo>=</mo>
+ <msqrt>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <msup>
+ <mi>y</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </msqrt>
+ <mo>></mo>
+ <mn>0</mn>
+ </math>.
+ </p>
+ <math display="block">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>M</mi>
+ <mi>P</mi>
+ </mrow>
+ <mrow>
+ <mi>O</mi>
+ <mi>P</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mi>y</mi>
+ <mi>r</mi>
+ </mfrac>
+ <mo>,</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>O</mi>
+ <mi>M</mi>
+ </mrow>
+ <mrow>
+ <mi>O</mi>
+ <mi>P</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mi>x</mi>
+ <mi>r</mi>
+ </mfrac>
+ <mo>,</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>M</mi>
+ <mi>P</mi>
+ </mrow>
+ <mrow>
+ <mi>O</mi>
+ <mi>M</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mi>y</mi>
+ <mi>x</mi>
+ </mfrac>
+ <mo>.</mo>
+ </math>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+ <p>鍦ㄥ姬搴﹀埗涓嬶紝鎴戜滑宸插皢<i>伪</i>鐨勮寖鍥存墿灞曞埌浜嗗叏浣撳疄鏁�.</p>
+ <p class="center"><img class="img-f" alt="" src="../../assets/images/0179-4.jpg" /></p>
+ <p class="img">鍥�5-13</p>
+ <p>
+ 涓�鑸湴锛屽鍥�5-13鎵�绀猴紝褰�<i>伪</i>涓轰换鎰忚鏃讹紝鐐�<i>P</i>锛�<i>x</i>锛�<i>y</i>锛夋槸<i>伪</i>鐨勭粓杈逛笂寮備簬鍘熺偣鐨勪换鎰忎竴鐐癸紝鐐�<i>P</i>鍒板師鐐圭殑璺濈涓�<math
+ display="0">
+ <mi>r</mi>
+ <mo>=</mo>
+ <msqrt>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <msup>
+ <mi>y</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </msqrt>
+ </math>.鎴戜滑浠嶇劧灏�<i>伪</i>鐨勬寮︺�佷綑寮︺�佹鍒囧垎鍒畾涔夊涓�.
+ </p>
+ <math display="block">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>y</mi>
+ <mi>r</mi>
+ </mfrac>
+ <mo>,</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>x</mi>
+ <mi>r</mi>
+ </mfrac>
+ <mo>,</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>y</mi>
+ <mi>x</mi>
+ </mfrac>
+ <mo stretchy="false">(</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mn>0</mn>
+ <mo stretchy="false">)</mo>
+ <mo>.</mo>
+ </math>
+ <p>娉ㄦ剰锛氬綋<i>伪</i>鐨勭粓杈逛笉鍦�<i>y</i>杞翠笂鏃讹紝tan<i>伪</i>鎵嶆湁鎰忎箟.</p>
+ <p>
+ 瀵逛簬姣忎竴涓‘瀹氱殑<i>伪</i>锛屽叾姝ｅ鸡銆佷綑寮﹀強姝ｅ垏閮藉垎鍒搴斾竴涓‘瀹氱殑姣斿�硷紝鍥犳锛屾寮︺�佷綑寮﹀強姝ｅ垏閮芥槸浠�<i>伪</i>涓鸿嚜鍙橀噺鐨勫嚱鏁帮紝鍒嗗埆鍙綔姝ｅ鸡鍑芥暟銆佷綑寮﹀嚱鏁板強姝ｅ垏鍑芥暟.
+ </p>
+ <p>
+ 褰撶偣<i>P</i>鐨勬í鍧愭爣<i>x</i>=0鏃讹紝<i>伪</i>鐨勭粓杈瑰湪<i>y</i>杞翠笂锛屾鏃�<math display="0">
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mi>k</mi>
+ <mi>蟺</mi>
+ <mo stretchy="false">(</mo>
+ <mi>k</mi>
+ <mo>鈭�</mo>
+ <mrow>
+ <mi mathvariant="bold">Z</mi>
+ </mrow>
+ <mo stretchy="false">)</mo>
+ </math>锛�<math display="0">
+ <mfrac>
+ <mi>y</mi>
+ <mi>x</mi>
+ </mfrac>
+ <mo>=</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </math>鏃犳剰涔�.闄ゆ涔嬪锛屽浜庣‘瀹氱殑<i>伪</i>锛屼笁涓嚱鏁伴兘鏈夋剰涔�.
+ </p>
+ <p>鎴戜滑灏嗘寮﹀嚱鏁般�佷綑寮﹀嚱鏁板拰姝ｅ垏鍑芥暟缁熺О涓轰笁瑙掑嚱鏁帮紝閫氬父璁颁负锛�</p>
+ <p><b>姝ｅ鸡鍑芥暟</b> <i>y</i>=sin <i>x</i>锛�<i>x</i>鈭�<b>R</b>锛�</p>
+ <p><b>浣欏鸡鍑芥暟</b> <i>y</i>=cos <i>x</i>锛�<i>x</i>鈭�<b>R</b>锛�</p>
+ <p>
+ <b>姝ｅ垏鍑芥暟</b> <i>y</i>=tan <i>x</i>锛�<math display="0">
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mi>k</mi>
+ <mi>蟺</mi>
+ <mo stretchy="false">(</mo>
+ <mi>k</mi>
+ <mo>鈭�</mo>
+ <mrow>
+ <mi mathvariant="bold">Z</mi>
+ </mrow>
+ <mo stretchy="false">)</mo>
+ </math>.
+ </p>
+ </div>
</div>
</div>
@@ -221,7 +1692,131 @@
<p><span>169</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�濡傚浘5-14鎵�绀猴紝宸茬煡<i>伪</i>鐨勭粓杈圭粡杩囩偣 <i>P</i>锛�3锛�-4锛夛紝
+ 姹俿in<i>伪</i>锛宑os<i>伪</i>锛宼an<i>伪</i>鐨勫��.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0180-3.jpg" /></p>
+ <p class="img">鍥�5-14</p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 鐢卞凡鐭ユ湁<i>x</i>=3锛�<i>y</i>=-4锛�
+ </p>
+ <p>鍒�</p>
+ <math display="block">
+ <mi>r</mi>
+ <mo>=</mo>
+ <msqrt>
+ <msup>
+ <mn>3</mn>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mn>4</mn>
+ <msup>
+ <mo stretchy="false">)</mo>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </msqrt>
+ <mo>=</mo>
+ <mn>5</mn>
+ <mo>.</mo>
+ </math>
+ <p>浜庢槸</p>
+ <math display="block">
+ <mtable columnalign="left" columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>y</mi>
+ <mi>r</mi>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>4</mn>
+ <mn>5</mn>
+ </mfrac>
+ <mo>,</mo>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>x</mi>
+ <mi>r</mi>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mn>5</mn>
+ </mfrac>
+ <mo>,</mo>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>y</mi>
+ <mi>x</mi>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>4</mn>
+ <mn>3</mn>
+ </mfrac>
+ <mo>.</mo>
+ </mtd>
+ </mtr>
+ </mtable>
+ </math>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>1.锛�1锛� 姝ｅ鸡鍑芥暟琛ㄧず涓�<i>y</i>=____锛�<i>x</i>鈭坃___锛�</p>
+ <p>锛�2锛� 浣欏鸡鍑芥暟琛ㄧず涓�<i>y</i>=____锛�<i>x</i>鈭坃___锛�</p>
+ <p>锛�3锛� 姝ｅ垏鍑芥暟琛ㄧず涓�<i>y</i>=____锛�<i>x</i>鈮燺___.</p>
+ <p>
+ 2.鑻�<i>伪</i>鐨勭粓杈硅繃鐐癸紙-8锛�6锛夛紝鍒檚in<i>伪</i>=____锛宑os<i>伪</i>=____锛宼an<i>伪</i>=
+ ____.
+ </p>
+ <p>
+ 3.鑻�<i>伪</i>鐨勭粓杈硅繃鐐癸紙5锛�12锛夛紝鍒檚in<i>伪</i>=____锛宑os<i>伪</i>=____锛宼an<i>伪</i>=
+ ____.
+ </p>
+ </div>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /></p>
+ <p>
+ 浠�<i>伪</i>鐨勬寮︺�佷綑寮﹀拰姝ｅ垏鐨勫畾涔変笌瀹炰緥鍙煡锛屼换鎰忚鐨勬寮﹀�笺�佷綑寮﹀�煎拰姝ｅ垏鍊煎湪涓嶅悓鐨勮薄闄愭湁涓嶅悓鐨勭鍙�.涓嬮潰鎴戜滑鏉ョ爺绌跺悇涓薄闄愬唴锛屼换鎰忚鐨勬寮﹀�笺�佷綑寮﹀�煎拰姝ｅ垏鍊肩殑绗﹀彿鐨勮寰�.
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 浠ョ浜岃薄闄愯涓轰緥锛屾牴鎹换鎰忚鐨勬寮︺�佷綑寮﹀拰姝ｅ垏鐨勫畾涔夛紝璇曞垎鏋愬畠浠湪绗簩璞￠檺鐨勭鍙锋儏鍐�.
+ </p>
+ <p>
+ 鍥犱负<i>伪</i>鐨勭粓杈瑰湪绗簩璞￠檺锛屼换鍙栫粓杈逛笂寮備簬鍘熺偣鐨勪竴鐐�<i>P</i>锛�<i>x</i>锛�<i>y</i>锛夛紝鏈�
+ </p>
+ <p class="center"><i>x</i>锛�0锛� <i>y</i>锛�0锛� <i>OP</i>= <i>r</i>锛�0.</p>
+ <p>鏍规嵁浠绘剰瑙掔殑姝ｅ鸡銆佷綑寮﹀拰姝ｅ垏鐨勫畾涔夊彲鐭ワ紝</p>
+ </div>
</div>
</div>
@@ -233,7 +1828,76 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ 锛�1锛�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>y</mi>
+ <mi>r</mi>
+ </mfrac>
+ <mo>></mo>
+ <mn>0</mn>
+ </math>锛�
+ </p>
+ <p>
+ 锛�2锛�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>x</mi>
+ <mi>r</mi>
+ </mfrac>
+ <mo><</mo>
+ <mn>0</mn>
+ </math>锛�
+ </p>
+ <p>
+ 锛�3锛�<math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>y</mi>
+ <mi>x</mi>
+ </mfrac>
+ <mo><</mo>
+ <mn>0</mn>
+ </math>.
+ </p>
+ <p>鎵�浠ワ紝鍙互寰楀嚭绗簩璞￠檺鍚勫�肩殑绗﹀彿锛岃琛�5-2.</p>
+ <p class="img">琛�5-2</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0181-4.jpg" /></p>
+ <p>鍚岀悊锛屽彲寰楀嚭鍏朵粬璞￠檺鍐呭悇鍊肩殑绗﹀彿.</p>
+ <p>
+ 涓�鑸湴锛�<i>伪</i>涓轰换鎰忚锛�<i>P</i>锛�<i>x</i>锛�<i>y</i>锛変负<i>伪</i>缁堣竟涓婂紓浜庡師鐐圭殑浠绘剰涓�鐐癸紝鐐�
+ <i>P</i>涓庡師鐐�<i>O</i>鐨勮窛绂�<i>OP</i>=<i>r</i>.鍥犱负<i>r</i>锛�0锛岀敱瀹氫箟鍙煡锛�
+ </p>
+ <p><b>姝ｅ鸡鍊肩殑绗﹀彿涓庣偣<i>P</i>鐨勭旱鍧愭爣<i>y</i>鐨勭鍙风浉鍚岋紱</b></p>
+ <p><b>浣欏鸡鍊肩殑绗﹀彿涓庣偣<i>P</i>鐨勬í鍧愭爣<i>x</i>鐨勭鍙风浉鍚岋紱</b></p>
+ <p>
+ <b>姝ｅ垏鍊肩殑绗﹀彿涓庣偣<i>P</i>鐨勭旱鍧愭爣涓庢í鍧愭爣鐨勬瘮鍊�</b><math display="0">
+ <mfrac>
+ <mi>y</mi>
+ <mi>x</mi>
+ </mfrac>
+ </math><b>鐨勭鍙风浉鍚�.</b>
+ </p>
+ <p>
+ 灏嗙偣<i>P</i>锛�<i>x</i>锛�<i>y</i>锛夌殑鍧愭爣涓庡悇璞￠檺瑙掔殑姝ｅ鸡鍊笺�佷綑寮﹀�煎拰姝ｅ垏鍊肩殑绗﹀彿鍒楄〃锛屽琛�5-3鎵�绀�.
+ </p>
+ <p class="img">琛�5-3</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0181-6.jpg" /></p>
+ <p>
+ 涓轰簡渚夸簬璁板繂锛屾垜浠皢sin<i>伪</i>锛宑os<i>伪</i>锛宼an<i>伪</i>鐨勭鍙锋爣鍦ㄥ悇璞￠檺鍐咃紝濡傚浘5-15鎵�绀�.
+ </p>
+ </div>
</div>
</div>
<!-- 171 -->
@@ -248,7 +1912,129 @@
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0182-1.jpg" /></p>
+ <p class="img">鍥�5-15</p>
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�纭畾涓嬪垪鍚勪笁瑙掑嚱鏁板�肩殑绗﹀彿.
+ </p>
+ <p>
+ 锛�1锛� sin锛�-210掳锛夛紱锛�2锛� tan760掳锛涳紙3锛�
+ <math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>17</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>12</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负-210掳鏄浜岃薄闄愯锛屾墍浠�
+ </p>
+ <p class="center">sin锛�-210掳锛夛紴0.</p>
+ <p>
+ 锛�2锛�
+ 鍥犱负760掳=40掳+2脳360掳锛屽彲鐭�760掳瑙掍笌40掳瑙掔殑缁堣竟鐩稿悓锛屾槸绗竴璞￠檺瑙掞紝鎵�浠�
+ </p>
+ <p class="center">tan 760掳锛�0.</p>
+ <p>
+ 锛�3锛� 鐢�<math display="0">
+ <mfrac>
+ <mrow>
+ <mn>17</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>12</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mfrac>
+ <mn>5</mn>
+ <mn>12</mn>
+ </mfrac>
+ <mi>蟺</mi>
+ </math>锛屽彲鐪嬪嚭<math display="0">
+ <mi>蟺</mi>
+ <mo><</mo>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mfrac>
+ <mrow>
+ <mn>5</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>12</mn>
+ </mfrac>
+ <mo><</mo>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mfrac>
+ <mrow>
+ <mn>6</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>12</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛屾槸绗笁璞￠檺瑙掞紝
+ </p>
+ <p>鎵�浠�</p>
+ <math display="block">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>17</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>12</mn>
+ </mfrac>
+ <mo><</mo>
+ <mn>0</mn>
+ </math>
+ <p>
+ <span class="zt-ls"><b>渚�3</b></span>銆�鏍规嵁sin <i>伪</i>锛�0锛屼笖cos <i>伪</i>锛�0锛岀‘瀹�<i>伪</i>鏄鍑犺薄闄愯.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 鍥犱负sin
+ <i>伪</i>锛�0锛屾墍浠�<i>伪</i>鐨勭粓杈瑰湪绗竴鎴栫浜岃薄闄愭垨<i>y</i>杞寸殑姝ｅ崐杞翠笂锛涘張鍥犱负cos<i>伪</i>锛�0锛屾墍浠�<i>伪</i>鐨勭粓杈瑰湪绗簩鎴栫涓夎薄闄愭垨<i>x</i>杞寸殑璐熷崐杞翠笂.鍥犳锛�<i>伪</i>涓虹浜岃薄闄愯.
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>1.鐢ㄢ�滐紲鈥濃�滐紴鈥濇垨鈥�=鈥濆～绌�.</p>
+ <p>
+ 锛�1锛� sin160掳___0锛涳紙2锛�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>18</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>5</mn>
+ </mfrac>
+ </math>
+ ___0锛�
+ </p>
+ <p>锛�3锛� tan590掳___0.</p>
+ <p>2.锛�1锛� 鑻in<i>伪</i>锛�0锛屽垯<i>伪</i>鐨勭粓杈瑰湪______锛�</p>
+ <p>锛�2锛� 鑻os<i>伪</i>锛�0锛屽垯<i>伪</i>鐨勭粓杈瑰湪______锛�</p>
+ <p>锛�3锛� 鑻an<i>伪</i>锛�0锛屽垯<i>伪</i>鐨勭粓杈瑰湪绗琠__鎴栫___璞￠檺.</p>
+ <p>3.鑻in<i>伪</i>锛�0锛屼笖tan<i>伪</i>锛�0锛屽垯<i>伪</i>鏄___璞￠檺瑙�.</p>
+ </div>
+ </div>
</div>
</div>
@@ -261,7 +2047,80 @@
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="center"><img style="width: 24%;" alt="" src="../../assets/images/0183-1.jpg" /></p>
+ <p class="img">鍥�5-16</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /></p>
+ <p>
+ 濡傚浘5-16鎵�绀猴紝涓や釜涓夎鏉夸笂鏈夊嚑涓壒娈婄殑閿愯锛�30掳锛�45掳锛�60掳.鍒濅腑宸茬爺绌朵簡瀹冧滑瀵瑰簲鐨勬寮﹀�笺�佷綑寮﹀�煎拰姝ｅ垏鍊�.鐜板皢瑙掔殑鑼冨洿杩涜浜嗘帹骞匡紝宸茬粡鍦ㄥ钩闈㈢洿瑙掑潗鏍囩郴涓爺绌朵簡鍚勮薄闄愯鐨勬寮﹀�笺�佷綑寮﹀�煎拰姝ｅ垏鍊肩殑绗﹀彿鍒嗗竷瑙勫緥.瀵逛簬鍦ㄥ钩闈㈢洿瑙掑潗鏍囩郴涓笉灞炰簬浠讳綍璞￠檺鐨勭壒娈婅锛屽0掳锛�90掳锛�180掳锛�270掳绛夛紝瀹冧滑鐨勬寮﹀�笺�佷綑寮﹀�煎拰姝ｅ垏鍊煎張鏄灏戯紵浠�180掳涓轰緥锛岃瘯姹傚嚭瀹冪殑姝ｅ鸡鍊笺�佷綑寮﹀�煎拰姝ｅ垏鍊�.
+ </p>
+ <p class="center"><img class="img-f" alt="" src="../../assets/images/0183-2.jpg" /></p>
+ <p class="img">鍥�5-17</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 鍦ㄥ钩闈㈢洿瑙掑潗鏍囩郴涓紝180掳瑙掔殑缁堣竟姝ｅソ涓�<i>x</i>杞寸殑璐熷崐杞撮噸鍚堬紝濡傚浘5-17鎵�绀�.浠ュ潗鏍囧師鐐逛负鍦嗗績銆佸崐寰勪负鍗曚綅闀垮害鐨勫渾锛堢畝绉板崟浣嶅渾锛変笌<i>x</i>杞翠氦浜庣偣<i>P</i>锛�-1锛�0锛夛紝浜庢槸鏈�
+ </p>
+ <p class="center"><i>x</i>=-1锛�<i>y</i>=0锛�<i>r</i>=1.</p>
+ <p>鏍规嵁浠绘剰瑙掔殑姝ｅ鸡銆佷綑寮﹀拰姝ｅ垏鐨勫畾涔夊彲鐭ワ紝</p>
+ <math display="block">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>180</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mfrac>
+ <mi>y</mi>
+ <mi>r</mi>
+ </mfrac>
+ <mo>=</mo>
+ <mn>0</mn>
+ <mo>;</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>180</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mfrac>
+ <mi>x</mi>
+ <mi>r</mi>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ <mo>;</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>180</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mfrac>
+ <mi>y</mi>
+ <mi>x</mi>
+ </mfrac>
+ <mo>=</mo>
+ <mn>0</mn>
+ <mo>.</mo>
+ </math>
+ <p><b>绫绘瘮褰掔撼</b></p>
+ <p>
+ 涓�鑸湴锛屽彇鍗曚綅鍦嗕笌鍧愭爣杞寸殑浜ょ偣灏卞彲浠ュ緱鍒�0掳锛�90掳锛�180掳鍜�270掳绛夌壒娈婅鐨勬寮﹀�笺�佷綑寮﹀�煎拰姝ｅ垏鍊硷紝濡傝〃5-4鎵�绀�.
+ </p>
+ <p class="img">琛�5-4</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0183-4.jpg" /></p>
+ <p>琛ㄤ腑360掳瑙掍笌0掳瑙掔殑缁堣竟鐩稿悓锛屽搴旂殑涓夎鍑芥暟鍊间篃鐩稿悓.</p>
+ </div>
</div>
</div>
<!-- 173 -->
@@ -275,8 +2134,264 @@
<p><span>173</span></p>
</li>
</ul>
-
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ <span class="zt-ls"><b>渚�4</b></span>銆�姹�5sin180掳-4sin90掳+2tan180掳-7sin270掳鐨勫��.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 5sin 180掳-4sin 90掳+2 tan 180掳-7sin
+ 270掳
+ </p>
+ <p>=5脳0-4脳1+2脳0-7脳锛�-1锛�</p>
+ <p>=3.</p>
+ <p>
+ <span class="zt-ls"><b>渚�5</b></span>銆�姹�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo>鈭�</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ </math>鐨勫��.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mtable displaystyle="true"
+ columnalign="right left right left right left right left right left right left"
+ columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt">
+ <mtr>
+ <mtd></mtd>
+ <mtd>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo>鈭�</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mo>=</mo>
+ </mtd>
+ <mtd>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ <mo stretchy="false">)</mo>
+ <mo>鈭�</mo>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ <mo stretchy="false">)</mo>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mo>=</mo>
+ </mtd>
+ <mtd>
+ <mn>0</mn>
+ <mo>.</mo>
+ </mtd>
+ </mtr>
+ </mtable>
+ </math>
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>
+ 1.<math display="0">
+ <mfrac>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>60</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ </mrow>
+ <mrow>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>45</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mo stretchy="false">(</mo>
+ <mstyle scriptlevel="0">
+ <mspace width="1em"></mspace>
+ </mstyle>
+ <mo stretchy="false">)</mo>
+ </math>锛堛��锛�.
+ </p>
+ <p>
+ A.<math display="0">
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ B.<math display="0">
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ C.<math display="0">
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>6</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ D.<math display="0">
+ <mfrac>
+ <msqrt>
+ <mn>2</mn>
+ </msqrt>
+ <mn>4</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>2.2cos 270掳+5sin 0掳+2cos 180掳=____.</p>
+ <p>
+ 3.<math display="0">
+ <mn>5</mn>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mn>2</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mn>6</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>0</mn>
+ <mo>=</mo>
+ </math>____.
+ </p>
+ </div>
+ <h3 id="c054">涔犻5.3<span class="fontsz2">锛烇紴锛�</span></h3>
+ <div class="bj">
+ <p>
+ <span class="bj-sp"><b>姘村钩涓�</b></span>
+ </p>
+ <p>1.鑻�<i>伪</i>鐨勭粓杈圭粡杩囩偣<i>P</i>锛�-3锛�-4锛夛紝鍒檛an<i>伪</i>=锛堛��锛�.</p>
+ <p>A.-3</p>
+ <p>B.-4</p>
+ <p>
+ C.<math display="0">
+ <mfrac>
+ <mn>4</mn>
+ <mn>3</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ D.<math display="0">
+ <mfrac>
+ <mn>3</mn>
+ <mn>4</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>2.锛�1锛� 鑻in<i>伪</i>锛�0锛屽垯<i>伪</i>鐨勭粓杈瑰湪______锛�</p>
+ <p>锛�2锛� 鑻os<i>伪</i>锛�0锛屽垯<i>伪</i>鐨勭粓杈瑰湪______锛�</p>
+ <p>锛�3锛� 鑻an<i>伪</i>锛�0锛屽垯<i>伪</i>鐨勭粓杈瑰湪绗琠__鎴栫___璞￠檺.</p>
+ <p>3.鐢ㄢ�滐紲鈥濃�滐紴鈥濇垨鈥�=鈥濆～绌�.</p>
+ <p>锛�1锛� sin 210掳___0锛涳紙2锛� cos锛�-30掳锛塤__0锛�</p>
+ <p>锛�3锛� tan 240掳___0锛涳紙4锛� sin 150掳___0.</p>
+ </div>
+ </div>
</div>
</div>
@@ -289,7 +2404,142 @@
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bj">
+ <p>
+ 4.鑻�<i>伪</i>鐨勭粓杈圭粡杩囩偣<i>P</i>锛屾眰sin<i>伪</i>锛宑os<i>伪</i>锛宼an<i>伪</i>鐨勫��.
+ </p>
+ <p>锛�1锛� <i>P</i>锛�3锛�4锛夛紱锛�2锛� <i>P</i>锛�12锛�-5锛�.</p>
+ <p>5.璁＄畻.</p>
+ <p>
+ 锛�1锛�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mn>2</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ <mo>鈭�</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>4</mn>
+ </mfrac>
+ </math>锛�
+ </p>
+ <p>锛�2锛� 2sin 0掳-3sin 90掳+4sin 180掳-5sin 270掳-6sin 360掳锛�</p>
+ <p>
+ 锛�3锛�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>0</mn>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mn>3</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mn>4</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mn>5</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ </math>.
+ </p>
+ <p>
+ <span class="bj-sp"><b>姘村钩浜�</b></span>
+ </p>
+ <p>
+ 1.鑻an<i>伪</i>路cos<i>伪</i>锛�0锛屼笖cos<i>伪</i>路sin<i>伪</i>锛�0锛屾眰<i>伪</i>鎵�鍦ㄧ殑璞￠檺.
+ </p>
+ <p>
+ 2.鑻�<i>伪</i>鐨勭粓杈圭粡杩囩偣<i>巍</i>锛�3锛�<i>y</i>锛夛紝涓旀弧瓒�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mn>5</mn>
+ </mfrac>
+ </math>锛屾眰sin<i>伪</i>锛宼an<i>伪</i>鐨勫��.
+ </p>
+ <p>
+ 3.宸茬煡<i>伪</i>鐨勭粓杈圭粡杩囩偣<i>P</i>锛�3<i>a</i>锛�-4<i>a</i>锛夛紙<i>a</i>鈮�0锛夛紝姹俿in<i>伪</i>锛宑os<i>伪</i>锛宼an<i>伪</i>鐨勫��.
+ </p>
+ </div>
+ <h2 id="b033">
+ 5.4 鍚岃涓夎鍑芥暟鐨勫熀鏈叧绯�<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+ </h2>
+ <p>
+ 鍦ㄤ笂涓�鑺傦紝鎴戜滑瀛︿範浜嗕笁瑙掑嚱鏁扮殑瀹氫箟浠ュ強鍦ㄥ悇涓薄闄愮殑绗﹀彿锛岄偅涔堝悓涓�涓鐨勪笁瑙掑嚱鏁板�间箣闂存槸鍚﹀瓨鍦ㄦ煇绉嶅叧绯诲憿锛�
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0185-4.jpg" /></p>
+ <p class="img">鍥�5-18</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 鎴戜滑鐭ラ亾锛屽湪骞抽潰鐩磋鍧愭爣绯讳腑锛屽崟浣嶅渾鏄互鍘熺偣涓哄渾蹇冦�佸崟浣嶉暱搴︿负鍗婂緞鐨勫渾.涓嬮潰鎴戜滑鍒╃敤鍗曚綅鍦嗘潵鐮旂┒鍚岃涓夎鍑芥暟鐨勫熀鏈叧绯�.濡傚浘5-18鎵�绀猴紝宸茬煡鐐�<i>P</i>锛�<i>x</i>锛�<i>y</i>锛夋槸瑙�<i>伪</i>鐨勭粓杈逛笌鍗曚綅鍦嗙殑浜ょ偣.杩囩偣<i>P</i>浣�<i>x</i>杞寸殑鍨傜嚎锛屽瀭瓒充负<i>M</i>锛屽垯鈻�<i>OMP</i>鏄洿瑙掍笁瑙掑舰锛屼笖<i>OM</i>=锝�<i>x</i>锝滐紝<i>PM</i>=锝�<i>y</i>锝滐紝<i>OP</i>=<i>r</i>=1.
+ </p>
+ <p>鏍规嵁姝ｅ鸡銆佷綑寮﹀拰姝ｅ垏鐨勫畾涔夊彲鐭ワ紝鍦ㄥ崟浣嶅渾涓婏紝</p>
+ <math display="block">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mi>y</mi>
+ <mo>;</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mi>x</mi>
+ <mo>;</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>y</mi>
+ <mi>x</mi>
+ </mfrac>
+ <mo>,</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mn>0</mn>
+ <mo>.</mo>
+ </math>
+ <p>
+ 鍦≧t 鈻�<i>OPM</i>涓紝鐢卞嬀鑲″畾鐞嗘湁<i>OM</i><sup>2</sup>+<i>PM</i><sup>2</sup>=<i>OP</i><sup>2</sup>锛�
+ </p>
+ </div>
</div>
</div>
@@ -304,7 +2554,397 @@
<p><span>175</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>鍗�<i>x</i><sup>2</sup>+<i>y</i><sup>2</sup>=1锛�</p>
+ <p>鎵�浠in<sup>2</sup><i>伪</i>+cos<sup>2</sup><i>伪</i>=1.</p>
+ <p>鏄剧劧锛屽綋<i>伪</i>鐨勭粓杈逛笌鍧愭爣杞撮噸鍚堟椂锛岃繖涓叕寮忎篃鎴愮珛.</p>
+ <p>
+ 鏍规嵁姝ｅ垏鐨勫畾涔夛紝褰�<math display="0">
+ <mi>伪</mi>
+ <mo>鈮�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mi>k</mi>
+ <mi>蟺</mi>
+ <mo stretchy="false">(</mo>
+ <mi>k</mi>
+ <mo>鈭�</mo>
+ <mrow>
+ <mi mathvariant="bold">Z</mi>
+ </mrow>
+ <mo stretchy="false">)</mo>
+ </math>鏃讹紝
+ </p>
+ <math display="block">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ </mfrac>
+ <mo>.</mo>
+ </math>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+ <p>涓�鑸湴锛屽彲浠ュ緱鍒板悓瑙掍笁瑙掑嚱鏁扮殑鍩烘湰鍏崇郴寮�.</p>
+ <p>
+ <b>锛�1锛� 骞虫柟鍏崇郴锛�</b>sin<sup>2</sup><i>伪</i>+cos<sup>2</sup><i>伪</i>=1.
+ </p>
+ <p>
+ <b>锛�2锛� 鍟嗘暟鍏崇郴锛�</b><math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�宸茬煡<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mn>5</mn>
+ </mfrac>
+ </math>锛� 涓�<i>伪</i>鏄鍥涜薄闄愯锛屾眰sin<i>伪</i>锛宼an<i>伪</i>鐨勫��.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 鍥犱负
+ <i>伪</i>鏄鍥涜薄闄愯锛屾墍浠in<i>伪</i>锛�0 .
+ </p>
+ <math display="block">
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <msqrt>
+ <mn>1</mn>
+ <mo>鈭�</mo>
+ <msup>
+ <mi>cos</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </msqrt>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <msqrt>
+ <mn>1</mn>
+ <mo>鈭�</mo>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mn>5</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </msqrt>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>4</mn>
+ <mn>5</mn>
+ </mfrac>
+ <mo>,</mo>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>4</mn>
+ <mn>5</mn>
+ </mfrac>
+ </mrow>
+ <mfrac>
+ <mn>3</mn>
+ <mn>5</mn>
+ </mfrac>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>4</mn>
+ <mn>3</mn>
+ </mfrac>
+ <mo>.</mo>
+ </mtd>
+ </mtr>
+ </mtable>
+ </math>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 鏍规嵁sin<sup>2</sup><i>伪</i>+cos<sup>2</sup><i>伪</i>=1锛屽彲寰�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <msqrt>
+ <mn>1</mn>
+ <mo>鈭�</mo>
+ <msup>
+ <mi>cos</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </msqrt>
+ </math>鎴�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <msqrt>
+ <mn>1</mn>
+ <mo>鈭�</mo>
+ <msup>
+ <mi>cos</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </msqrt>
+ </math>.鍏跺紑鏂瑰悗鐨勭鍙锋槸鐢辨寮﹀�肩殑璞￠檺绗﹀彿鏉ョ‘瀹氱殑.鍚岀悊锛屽紑鏂瑰悗浣欏鸡鍊肩殑绗﹀彿涔熶竴鏍�.
+ </p>
+ </div>
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�宸茬煡<math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>12</mn>
+ <mn>5</mn>
+ </mfrac>
+ </math>锛屼笖<i>伪</i>鏄涓夎薄闄愯锛屾眰sin <i>伪</i>锛宑os <i>伪</i>鐨勫��.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ </p>
+ <math display="block">
+ <mtext> 鐢� </mtext>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>12</mn>
+ <mn>5</mn>
+ </mfrac>
+ <mtext> 寰�, </mtext>
+ <mfrac>
+ <mrow>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>12</mn>
+ <mn>5</mn>
+ </mfrac>
+ <mtext>, 鍗� </mtext>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>12</mn>
+ <mn>5</mn>
+ </mfrac>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mtext>. </mtext>
+ </math>
+ <p>鎶娾憼浠ｅ叆</p>
+ <math display="block">
+ <msup>
+ <mi>sin</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>+</mo>
+ <msup>
+ <mi>cos</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mn>1</mn>
+ <mo>,</mo>
+ </math>
+ <p class="right">鈶�</p>
+ <p>寰�</p>
+ <math display="block">
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <msup>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mn>12</mn>
+ <mn>5</mn>
+ </mfrac>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <msup>
+ <mi>cos</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mn>1</mn>
+ <mo>,</mo>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mfrac>
+ <mn>169</mn>
+ <mn>25</mn>
+ </mfrac>
+ <msup>
+ <mi>cos</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mn>1</mn>
+ <mo>,</mo>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <msup>
+ <mi>cos</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>25</mn>
+ <mn>169</mn>
+ </mfrac>
+ <mo>.</mo>
+ </mtd>
+ </mtr>
+ </mtable>
+ </math>
+ <p>鍥犱负<i>伪</i>鏄涓夎薄闄愯锛屾墍浠os<i>伪</i>锛�0.</p>
+ <p>
+ 鎵�浠�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>5</mn>
+ <mn>13</mn>
+ </mfrac>
+ </math>.
+ </p>
+ </div>
</div>
</div>
@@ -316,7 +2956,538 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ 鎶�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>5</mn>
+ <mn>13</mn>
+ </mfrac>
+ </math>浠ｅ叆鈶犲紡锛屽緱
+ </p>
+ <math display="block">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>12</mn>
+ <mn>5</mn>
+ </mfrac>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>12</mn>
+ <mn>5</mn>
+ </mfrac>
+ <mo>脳</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>5</mn>
+ <mn>13</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>12</mn>
+ <mn>13</mn>
+ </mfrac>
+ <mo>.</mo>
+ </math>
+ <p>
+ <span class="zt-ls"><b>渚�3</b></span>銆�姹傝瘉sin<sup>4</sup><i>伪</i>-cos<sup>4</sup><i>伪</i>=2sin
+ <sup>2</sup><i>伪</i>-1.
+ </p>
+ <p>
+ <b>璇佹槑</b> sin<sup>4</sup><i>伪</i>-cos<sup>4</sup><i>伪</i>=锛坰in
+ <sup>2</sup><i>伪</i>+cos<sup>2</sup><i>伪</i>锛夛紙sin<sup>2</sup><i>伪</i>-cos<sup>2</sup><i>伪</i>锛�
+ </p>
+ <p>=sin<sup>2</sup><i>伪</i>-cos<sup>2</sup><i>伪</i></p>
+ <p>=sin<sup>2</sup><i>伪</i>-锛�1-sin<sup>2</sup><i>伪</i>锛�</p>
+ <p>=2sin<sup>2</sup><i>伪</i>-1.</p>
+ <p>
+ <span class="zt-ls"><b>渚�4</b></span>銆�鍖栫畝<math display="0">
+ <mfrac>
+ <mrow>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo>鈭�</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ <mrow>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ </mrow>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ </p>
+ <math display="block">
+ <mo>鐢�</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mo>,</mo>
+ <mo>寰�</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo>.</mo>
+ <mtable displaystyle="true" columnalign="right left right left right left right left right left right left"
+ columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt">
+ <mtr>
+ <mtd>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ <mrow>
+ <mn>5</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo>+</mo>
+ <mn>3</mn>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ </mfrac>
+ </mtd>
+ <mtd>
+ <mi></mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo stretchy="false">)</mo>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ <mrow>
+ <mn>5</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo>+</mo>
+ <mn>3</mn>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo stretchy="false">)</mo>
+ </mrow>
+ </mfrac>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd></mtd>
+ <mtd>
+ <mi></mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>14</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>4</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>7</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo>.</mo>
+ </mtd>
+ </mtr>
+ </mtable>
+ </math>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 鏂规硶涓�鐨勮繍绠楁�濊矾鏄敱姝ｅ鸡鍑芥暟銆佷綑寮﹀嚱鏁板彉鍖栦负姝ｅ垏鍑芥暟姹傚嚭缁撴灉锛屾垜浠畝绉颁负鈥滃鸡鍖栧垏鈥濓紱鏂规硶浜岀殑杩愮畻鎬濊矾鏄敱姝ｅ垏鍑芥暟鍙樺寲涓烘寮﹀嚱鏁板拰浣欏鸡鍑芥暟鐨勫叧绯诲悗姹傚嚭缁撴灉锛屾垜浠畝绉颁负鈥滃垏鍖栧鸡鈥�.
+ </p>
+ </div>
+ <p>
+ <span class="zt-ls"><b>渚�5</b></span>銆�宸茬煡tan<i>胃</i>=-3锛屾眰<math display="0">
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ <mrow>
+ <mn>5</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo>+</mo>
+ <mn>3</mn>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ </mfrac>
+ </math>鐨勫��.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 鏂规硶涓�锛氭樉鐒禼os <i>胃</i>鈮�0锛�
+ </p>
+ <p class="left1">
+ <math display="">
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ <mrow>
+ <mn>5</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo>+</mo>
+ <mn>3</mn>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ </mfrac>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>2</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ </mfrac>
+ </mrow>
+ <mrow>
+ <mfrac>
+ <mrow>
+ <mn>5</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ </mfrac>
+ <mo>+</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ </mfrac>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ </mrow>
+ <mrow>
+ <mn>5</mn>
+ <mo>+</mo>
+ <mn>3</mn>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mo>脳</mo>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mo stretchy="false">)</mo>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ </mrow>
+ <mrow>
+ <mn>5</mn>
+ <mo>+</mo>
+ <mn>3</mn>
+ <mo>脳</mo>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mo stretchy="false">)</mo>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>7</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo>.</mo>
+ </math>
+ </p>
+ <p>鏂规硶浜岋細</p>
+ <p class="left1">
+ <math display="">
+ <mo>鐢�</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mo>,</mo>
+ <mo>寰�</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo>.</mo>
+ </math>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mtable displaystyle="true"
+ columnalign="right left right left right left right left right left right left"
+ columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt">
+ <mtr>
+ <mtd>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ <mrow>
+ <mn>5</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo>+</mo>
+ <mn>3</mn>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ </mfrac>
+ </mtd>
+ <mtd>
+ <mi></mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo stretchy="false">)</mo>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ <mrow>
+ <mn>5</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo>+</mo>
+ <mn>3</mn>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ <mo stretchy="false">)</mo>
+ </mrow>
+ </mfrac>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd></mtd>
+ <mtd>
+ <mi></mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>14</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>4</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>胃</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>7</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo>.</mo>
+ </mtd>
+ </mtr>
+ </mtable>
+ </math>
+ </p>
+ </div>
</div>
</div>
@@ -332,7 +3503,210 @@
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>
+ 1.宸茬煡<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>5</mn>
+ <mn>13</mn>
+ </mfrac>
+ </math>锛屼笖<i>伪</i>鏄浜岃薄闄愯锛屽垯cos<i>伪</i>=____锛宼an<i>伪</i>=____.
+ </p>
+ <p>
+ 2.宸茬煡<math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <msqrt>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ </msqrt>
+ </math>锛屼笖<i>伪</i>鏄鍥涜薄闄愯锛屽垯sin<i>伪</i>=____锛宑os <i>伪</i>=____.
+ </p>
+ <p>3.鍖栫畝.</p>
+ <p>
+ 锛�1锛�
+ cos<i>伪</i>路tan<i>伪</i>=____锛涳紙2锛夛紙1-sin<i>x</i>锛夛紙1+sin<i>x</i>锛�=____.
+ </p>
+ </div>
+ <h3 id="c055">涔犻5.4<span class="fontsz2">锛烇紴锛�</span></h3>
+ <div class="bj">
+ <p>
+ <span class="bj-sp"><b>姘村钩涓�</b></span>
+ </p>
+ <p>
+ 1.宸茬煡<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mn>5</mn>
+ </mfrac>
+ </math>锛屼笖<i>伪</i>鏄鍥涜薄闄愯锛屽垯cos<i>伪</i>=锛堛��锛�.
+ </p>
+ <p>
+ A.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>4</mn>
+ <mn>5</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ B.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mn>4</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ C.<math display="0">
+ <mfrac>
+ <mn>3</mn>
+ <mn>5</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ D.<math display="0">
+ <mfrac>
+ <mn>4</mn>
+ <mn>5</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>2.sin<sup>2</sup>25掳+cos<sup>2</sup>25掳=____.</p>
+ <p>
+ 3.宸茬煡<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛屼笖<i>伪</i>鏄涓夎薄闄愯锛屽垯sin<i>伪</i>=____锛宼an<i>伪</i>=____.
+ </p>
+ <p>
+ 4.宸茬煡tan <i>伪</i>=-1锛屼笖<i>伪</i>鏄鍥涜薄闄愯锛屾眰sin <i>伪</i>锛宑os
+ <i>伪</i>鐨勫��.
+ </p>
+ <p>
+ 5.鍖栫畝<math display="0">
+ <mfrac>
+ <mrow>
+ <mn>2</mn>
+ <msup>
+ <mi>cos</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ </mrow>
+ <mrow>
+ <mn>1</mn>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ <msup>
+ <mi>sin</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ <span class="bj-sp"><b>姘村钩浜�</b></span>
+ </p>
+ <p>
+ 1.宸茬煡<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ </math>锛屼笖<math display="0">
+ <mi>伪</mi>
+ <mo>鈭�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ <mo>,</mo>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛屾眰cos<i>伪</i>锛宼an<i>伪</i>鐨勫��.
+ </p>
+ <p>
+ 2.璁総an<i>伪</i>=3锛屾眰<math display="0">
+ <mfrac>
+ <mrow>
+ <mn>2</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>+</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ </mfrac>
+ </math>鐨勫��.
+ </p>
+ <p>3.姹傝瘉.</p>
+ <p>
+ 锛�1锛� sin<sup>4</sup><i>伪</i>+sin<sup>2</sup><i>伪</i>路cos<sup>2</sup><i>伪</i>+cos<sup>2</sup><i>伪</i>=1锛�
+ </p>
+ <p>
+ 锛�2锛� tan<sup>2</sup><i>伪</i>-sin<sup>2</sup><i>伪</i>=tan<sup>2</sup><i>伪</i>路sin<sup>2</sup><i>伪</i>.
+ </p>
+ </div>
+ </div>
</div>
</div>
@@ -344,7 +3718,160 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h2 id="b034">
+ 5.5 璇卞鍏紡<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+ </h2>
+ <p>
+ 鎴戜滑鐭ラ亾锛屽浘鍍忕殑瀵圭О鎬ф槸鍑芥暟鎬ц川锛堝濂囧伓鎬э級鐨勯噸瑕佸嚑浣曠壒寰�.鍦ㄤ笂涓�鑺傦紝鎴戜滑鍊熷姪鍗曚綅鍦嗘帹瀵间簡鍚岃涓夎鍑芥暟鐨勫熀鏈叧绯诲紡.涓嬮潰锛屾垜浠户缁埄鐢ㄥ湪骞抽潰鐩磋鍧愭爣绯讳腑鍏充簬鍘熺偣涓績瀵圭О鐨勫崟浣嶅渾锛屾帹瀵间笁瑙掑嚱鏁扮殑璇卞鍏紡.
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /></p>
+ <p>
+ 鎴戜滑鐭ラ亾锛�<math display="0">
+ <mfrac>
+ <mi>伪</mi>
+ <mn>3</mn>
+ </mfrac>
+ </math>鍜�<math display="0">
+ <mfrac>
+ <mrow>
+ <mn>7</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ </math>锛�<math display="0">
+ <mfrac>
+ <mrow>
+ <mn>7</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ </math>鍙啓涓�<math display="0">
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ </math>锛夋墍瀵瑰簲鐨勮鏄粓杈圭浉鍚岀殑瑙�.鎯充竴鎯筹紝<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ </math>涓�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>7</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ </math>锛�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ </math>涓�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>7</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ </math>涔嬮棿鏈変粈涔堝叧绯伙紵
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0189-9.jpg" /></p>
+ <p class="img">鍥�5-19</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 鍦ㄥ钩闈㈢洿瑙掑潗鏍囩郴涓紝鐢变簬<math display="0">
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ </math>鍜�<math display="0">
+ <mfrac>
+ <mrow>
+ <mn>7</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ </math>鎵�瀵瑰簲鐨勮鐨勭粓杈圭浉鍚岋紝鎵�浠ョ敱涓夎鍑芥暟鐨勫畾涔夊彲鐭ワ紝<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>7</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ </math>锛�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>7</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ 濡傚浘5-19鎵�绀猴紝瑙�<i>伪</i>鐨勭粓杈逛笌鍗曚綅鍦嗙殑浜ょ偣涓�<i>P</i>锛坈os<i>伪</i>锛宻in<i>伪</i>锛夛紝缁堣竟缁х画鏃嬭浆2<i>蟺k</i>锛�<i>k</i>鈭�<b>Z</b>锛夊悗锛岀偣<i>P</i>锛坈os<i>伪</i>锛宻in<i>伪</i>锛夊張鍥炲埌鍘熸潵鐨勪綅缃紝鎵�浠ュ悇涓夎鍑芥暟鍊煎苟涓嶅彂鐢熷彉鍖�.
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+ <p>
+ 鎴戜滑鐭ラ亾锛屾墍鏈変笌<i>伪</i>缁堣竟鐩稿悓鐨勮锛岃繛鍚�<i>伪</i>鍦ㄥ唴锛屽彲浠ョ粍鎴愪竴涓泦鍚�
+ </p>
+ <p class="center">
+ <i>S</i>={<i>尾</i>|<i>尾</i>=<i>伪</i>+2<i>k蟺</i>锛�<i>k</i>鈭�<b>Z</b>}.
+ </p>
+ <p>
+ 鐢变笁瑙掑嚱鏁扮殑瀹氫箟鍙煡锛岃<i>伪</i>+2<i>k蟺</i>锛�<i>k</i>鈭�<b>Z</b>锛変笌瑙�<i>伪</i>鐨勫悓鍚嶄笁瑙掑嚱鏁扮殑鍊肩浉绛夛紙鈥滃悓鍚嶁�濇寚鍚屼负姝ｅ鸡銆佷綑寮︽垨姝ｅ垏锛屼笅鍚岋級.浜庢槸锛屽綋<i>k</i>鈭�<b>Z</b>鏃讹紝
+ </p>
+ <div class="bj">
+ <p class="center">
+ 鏈塻in锛�<i>伪</i>+2<i>k蟺</i>锛�=sin <i>伪</i>锛�<i>k</i>鈭�<b>Z</b>锛夛紱
+ </p>
+ <p class="center">
+ 銆�銆�銆�銆�cos锛�<i>伪</i>+2<i>k蟺</i>锛�=cos<i>伪</i>锛�<i>k</i>鈭�<i>Z</i>锛夛紱
+ 鍏紡涓�
+ </p>
+ <p class="center">
+ tan锛�<i>伪</i>+2<i>k蟺</i>锛�=tan<i>伪</i>锛�<i>k</i>鈭�<b>Z</b>锛�.
+ </p>
+ </div>
+ <p>鍗崇粓杈圭浉鍚岀殑瑙掑悓鍚嶄笁瑙掑嚱鏁板�肩浉绛�.</p>
+ </div>
</div>
</div>
@@ -360,7 +3887,326 @@
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�姹備笅鍒椾笁瑙掑嚱鏁扮殑鍊�.
+ </p>
+ <p>
+ 锛�1锛�
+ <math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>13</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>6</mn>
+ </mfrac>
+ </math>锛涳紙2锛�
+ <math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>5</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛涳紙3锛� tan 405掳.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>13</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>6</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛�
+ </p>
+ <p>
+ 锛�2锛�
+ <math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>5</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛�
+ </p>
+ <p>锛�3锛� tan405掳=tan锛�45掳+360掳锛�=tan45掳=1.</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>1.sin 750掳=锛堛��锛�.</p>
+ <p>
+ A.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ B.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ C.<math display="0">
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ D.<math display="0">
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ 2.<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>25</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>6</mn>
+ </mfrac>
+ <mo>=</mo>
+ </math>锛堛��锛�.
+ </p>
+ <p>
+ A.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ B.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ C.<math display="0">
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ D.<math display="0">
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ 3.<math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>7</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ </math>=锛堛��锛�.
+ </p>
+ <p>A.-1</p>
+ <p>B.1</p>
+ <p>
+ C.<math display="0">
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>3</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ D.<math display="0">
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ </math>
+ </p>
+ </div>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" /></p>
+ <p>
+ 濡傚浘5-20鎵�绀猴紝<math display="0">
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ </math>鍜�<math display="0">
+ <mfrac>
+ <mrow>
+ <mn>7</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>6</mn>
+ </mfrac>
+ </math>锛�<math display="0">
+ <mfrac>
+ <mrow>
+ <mn>7</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>6</mn>
+ </mfrac>
+ </math>鍙啓涓�<math display="0">
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ </math>锛夋墍瀵瑰簲鐨勮鐨勭粓杈瑰叧浜庡潗鏍囧師鐐瑰绉�.鎯充竴鎯筹紝<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ </math>涓�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>7</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>6</mn>
+ </mfrac>
+ </math>锛�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ </math>涓�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>7</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>6</mn>
+ </mfrac>
+ </math>涔嬮棿鏈変粈涔堝叧绯伙紵
+ </p>
+ <p class="center"><img class="img-f" alt="" src="../../assets/images/0190-25.jpg" /></p>
+ <p class="img">鍥�5-20</p>
+ </div>
</div>
</div>
<!-- 180 -->
@@ -371,7 +4217,162 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 濡傚浘5-20鎵�绀猴紝<math display="0">
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ </math>鍜�<math display="0">
+ <mfrac>
+ <mrow>
+ <mn>7</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>6</mn>
+ </mfrac>
+ </math>鎵�瀵瑰簲鐨勮鐨勭粓杈逛笌鍗曚綅鍦嗙殑浜ょ偣鍒嗗埆鏄偣<i>P</i>涓庣偣<i>P</i>鈥�.鏍规嵁瀵圭О鎬у彲鐭ワ紝瀹冧滑鐨勬í鍧愭爣涓庣旱鍧愭爣閮戒簰涓虹浉鍙嶆暟.
+ </p>
+ <p>鐢辨寰楀埌</p>
+ <math display="block">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>7</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>6</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>,</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>7</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>6</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>.</mo>
+ </math>
+ <p>
+ 濡傚浘5-21鎵�绀猴紝璁惧崟浣嶅渾涓庝换鎰忚<i>伪</i>锛屜�+<i>伪</i>鐨勭粓杈瑰垎鍒浉浜や簬鐐�<i>P</i>鍜�<i>P</i>鈥诧紝鍒欑偣<i>P</i>鍜�<i>P</i>鈥插叧浜庡師鐐逛腑蹇冨绉�.濡傛灉鐐�<i>P</i>鐨勫潗鏍囨槸锛坈os
+ <i>伪</i>锛宻in
+ <i>伪</i>锛夛紝閭ｄ箞鐐�<i>P</i>鈥茬殑鍧愭爣搴旇鏄紙-cos<i>伪</i>锛�-sin<i>伪</i>锛�.鍙堢敱浜庣偣<i>P</i>鈥蹭綔涓鸿蟺+<i>伪</i>鐨勭粓杈逛笌鍗曚綅鍦嗙殑浜ょ偣锛屽叾鍧愭爣搴旇鏄紙cos锛埾�+<i>伪</i>锛夛紝sin锛埾�+<i>伪</i>锛夛級锛岀敱姝ゅ緱鍒�
+ </p>
+ <p class="center">
+ cos锛埾�+<i>伪</i>锛�=-cos<i>伪</i>锛宻in锛埾�+<i>伪</i>锛�=-sin<i>伪</i>.
+ </p>
+ <p>鐢卞悓瑙掍笁瑙掑嚱鏁扮殑鍏崇郴寮忕煡</p>
+ <math display="block">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mo>鈭�</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ <mrow>
+ <mo>鈭�</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>.</mo>
+ </math>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0191-5.jpg" /></p>
+ <p class="img">鍥�5-21</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+ <p>
+ 涓庝换鎰忚<i>伪</i>鐨勭粓杈瑰叧浜庡師鐐逛腑蹇冨绉扮殑瑙捪�+<i>伪</i>鐨勬寮﹀嚱鏁般�佷綑寮﹀嚱鏁板拰姝ｅ垏鍑芥暟鐨勮绠楀叕寮忓涓�.
+ </p>
+ <div class="bj">
+ <p class="center">銆�sin锛埾�+<i>伪</i>锛�=-sin<i>伪</i>锛�</p>
+ <p class="center">銆�銆�銆�銆�cos锛埾�+<i>伪</i>锛�=-cos<i>伪</i>锛涘叕寮忎簩</p>
+ <p class="center">tan锛埾�+<i>伪</i>锛�=tan<i>伪</i>.</p>
+ </div>
+ </div>
</div>
</div>
<!-- 181 -->
@@ -385,7 +4386,391 @@
<p><span>181</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�姹備笅鍒椾笁瑙掑嚱鏁扮殑鍊�.
+ </p>
+ <p>
+ 锛�1锛� sin 225掳锛涳紙2锛�
+ <math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ </math>锛涳紙3锛� tan 570掳.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>225</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mn>180</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <msup>
+ <mn>45</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>45</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <msqrt>
+ <mn>2</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛�
+ </p>
+ <p>
+ 銆�锛�2锛�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛�
+ </p>
+ <p>
+ 銆�锛�3锛�<math display="0">
+ <mtable displaystyle="true"
+ columnalign="right left right left right left right left right left right left"
+ columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt">
+ <mtr>
+ <mtd>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>570</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ </mtd>
+ <mtd>
+ <mi></mi>
+ <mo>=</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mn>210</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <msup>
+ <mn>360</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>210</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mn>180</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <msup>
+ <mn>30</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>30</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd></mtd>
+ <mtd>
+ <mi></mi>
+ <mo>=</mo>
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>3</mn>
+ </mfrac>
+ </mtd>
+ </mtr>
+ </mtable>
+ </math>
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>1.sin 240掳锛堛��锛�.</p>
+ <p>
+ A.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ B.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ C.<math display="0">
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ D.<math display="0">
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ 2.<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>10</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mo>=</mo>
+ </math>锛堛��锛�.
+ </p>
+ <p>
+ A.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ B.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ C.<math display="0">
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ D.<math display="0">
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ 3.<math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>21</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ <mo>=</mo>
+ </math>锛堛��锛�.
+ </p>
+ <p>A.-1</p>
+ <p>
+ B.<math display="0">
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>3</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>C.1</p>
+ <p>
+ D.<math display="0">
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ </math>
+ </p>
+ </div>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" /></p>
+ <p>
+ 濡傚浘5-22鎵�绀猴紝<math display="0">
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ </math>鍜�<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ </math>鎵�瀵瑰簲鐨勮鐨勭粓杈瑰叧浜�<i>x</i>杞村绉�.鎯充竴鎯筹紝<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ </math>涓�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ </math>涓�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>涔嬮棿鏈変粈涔堝叧绯伙紵
+ </p>
+ <p class="center"><img class="img-f" alt="" src="../../assets/images/0192-23.jpg" /></p>
+ <p class="img">鍥�5-22</p>
+ </div>
</div>
</div>
<!-- 182 -->
@@ -396,7 +4781,368 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 濡傚浘5-22鎵�绀猴紝<math display="0">
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ </math>鍜�<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ </math>鎵�瀵瑰簲鐨勮鐨勭粓杈逛笌鍗曚綅鍦嗙殑浜ょ偣鍒嗗埆鏄偣<i>P</i>涓庣偣<i>P</i>鈥�.鏍规嵁瀵圭О鎬у彲鐭ワ紝鐐�<i>P</i>涓庣偣<i>P</i>鈥茬殑妯潗鏍囩浉鍚屻�佺旱鍧愭爣浜掍负鐩稿弽鏁�.
+ </p>
+ <p>
+ 鐢辨寰楀埌<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0193-5.jpg" /></p>
+ <p class="img">鍥�5-23</p>
+ <p>
+ 濡傚浘5-23鎵�绀猴紝璁惧崟浣嶅渾涓庝换鎰忚<i>伪</i>锛�-<i>伪</i>鐨勭粓杈瑰垎鍒浉浜や簬鐐�<i>P</i>鍜岀偣<i>P</i>鈥诧紝鍒欑偣<i>P</i>涓庣偣<i>P</i>鈥插叧浜�<i>x</i>杞村绉�.濡傛灉鐐�<i>P</i>鐨勫潗鏍囨槸锛坈os<i>伪</i>锛宻in<i>伪</i>锛夛紝閭ｄ箞鐐�<i>P</i>鈥茬殑鍧愭爣鏄紙cos<i>伪</i>锛�-sin<i>伪</i>锛�.鐢变簬鐐�<i>P</i>鈥蹭綔涓鸿-<i>伪</i>鐨勭粓杈逛笌鍗曚綅鍦嗙殑浜ょ偣锛屽叾鍧愭爣搴旇鏄紙cos锛�-<i>伪</i>锛夛紝sin锛�-<i>伪</i>锛夛級锛屼簬鏄緱鍒�
+ </p>
+ <p class="center">
+ cos锛�-<i>伪</i>锛�=cos<i>伪</i>锛宻in锛�-<i>伪</i>锛�=-sin<i>伪</i>.
+ </p>
+ <p>鐢卞悓瑙掍笁瑙掑嚱鏁扮殑鍏崇郴寮忕煡</p>
+ <math display="block">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mo>鈭�</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>.</mo>
+ </math>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+ <p>
+ 涓庝换鎰忚<i>伪</i>鐨勭粓杈瑰叧浜�<i>x</i>杞村绉扮殑瑙�-<i>伪</i>鐨勬寮﹀嚱鏁般�佷綑寮﹀嚱鏁板拰姝ｅ垏鍑芥暟鐨勮绠楀叕寮忓涓�.
+ </p>
+ <div class="bj">
+ <p class="center">sin锛�-<i>伪</i>锛�=-sin<i>伪</i>锛�</p>
+ <p class="center">cos锛�-<i>伪</i>锛�=cos<i>伪</i>锛涘叕寮忎笁</p>
+ <p class="center">tan锛�-<i>伪</i>锛�=-tan<i>伪</i>.</p>
+ </div>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 鍒╃敤鍏紡涓夛紝鍙互鎶婅礋瑙掔殑涓夎鍑芥暟杞寲涓烘瑙掔殑涓夎鍑芥暟.
+ </p>
+ </div>
+ <p>
+ <span class="zt-ls"><b>渚�3</b></span>銆�姹備笅鍒椾笁瑙掑嚱鏁扮殑鍊�.
+ </p>
+ <p>
+ 锛�1锛� sin锛�-45掳锛夛紱锛�2锛� cos锛�-390掳锛夛紱锛�3锛�
+ <math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>16</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mo stretchy="false">)</mo>
+ </math>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mo stretchy="false">锛�1锛�</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <msup>
+ <mn>45</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>45</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <msqrt>
+ <mn>2</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ <mo>;</mo>
+ </math>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mo stretchy="false">锛�2锛�</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <msup>
+ <mn>390</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>390</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mn>30</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <msup>
+ <mn>360</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>30</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ <mo>;</mo>
+ </math>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mo stretchy="false">锛�3锛�</mo>
+ <mtable displaystyle="true"
+ columnalign="right left right left right left right left right left right left"
+ columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt">
+ <mtr>
+ <mtd>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>16</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </mtd>
+ <mtd>
+ <mi></mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>16</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mn>4</mn>
+ <mi>蟺</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd></mtd>
+ <mtd>
+ <mi></mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ </mtd>
+ </mtr>
+ </mtable>
+ </math>
+ </p>
+ </div>
</div>
</div>
<!-- 183 -->
@@ -410,7 +5156,223 @@
<p><span>183</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>
+ 1.<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛堛��锛�.
+ </p>
+ <p>
+ A.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ B.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ C.<math display="0">
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ D.<math display="0">
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ 2.<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ </math>锛堛��锛�.
+ </p>
+ <p>
+ A.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ B.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ C.<math display="0">
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ D.<math display="0">
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ 3.<math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>9</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ </math>锛堛��锛�.
+ </p>
+ <p>A.1</p>
+ <p>
+ B.<math display="0">
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>3</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>C.-1</p>
+ <p>
+ D.<math display="0">
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ </math>
+ </p>
+ </div>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" /></p>
+ <p>
+ 濡傚浘5-24鎵�绀猴紝<i>伪</i>鍜屜�-<i>伪</i>鎵�瀵瑰簲鐨勮鐨勭粓杈瑰叧浜�<i>y</i>杞村绉�.鎯充竴鎯筹紝sin<i>伪</i>涓巗in锛埾�-<i>伪</i>锛夛紝cos<i>伪</i>涓巆os锛埾�-<i>伪</i>锛変箣闂存湁浠�涔堝叧绯伙紵
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0194-14.jpg" /></p>
+ <p class="img">鍥�5-24</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 濡傚浘5-24鎵�绀猴紝璁惧崟浣嶅渾涓庤<i>伪</i>锛屜�-<i>伪</i>鐨勭粓杈瑰垎鍒浉浜や簬鐐�<i>P</i>鍜岀偣<i>P</i>鈥诧紝鍒欑偣<i>P</i>涓庣偣<i>P</i>鈥插叧浜�<i>y</i>杞村绉�.濡傛灉鐐�<i>P</i>鐨勫潗鏍囨槸锛坈os<i>伪</i>锛宻in<i>伪</i>锛夛紝閭ｄ箞鐐�<i>P</i>鈥茬殑鍧愭爣鏄紙-cos<i>伪</i>锛宻in<i>伪</i>锛�.鐢变簬鐐�<i>P</i>鈥蹭綔涓鸿蟺-<i>伪</i>鐨勭粓杈逛笌鍗曚綅鍦嗙殑浜ょ偣锛屽叾鍧愭爣搴旇鏄紙cos锛埾�-<i>伪</i>锛夛紝sin锛埾�-<i>伪</i>锛夛級锛�
+ </p>
+ <p class="center">
+ cos锛埾�-<i>伪</i>锛�=-cos<i>伪</i>锛� sin锛埾�-<i>伪</i>锛�=sin<i>伪</i>.
+ </p>
+ <p>鐢卞悓瑙掍笁瑙掑嚱鏁扮殑鍏崇郴寮忕煡</p>
+ <math display="block">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ <mrow>
+ <mo>鈭�</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>.</mo>
+ </math>
+ </div>
</div>
</div>
<!-- 184 -->
@@ -421,7 +5383,420 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+ <p>
+ 涓庝换鎰忚<i>伪</i>鐨勭粓杈瑰叧浜�<i>y</i>杞村绉扮殑瑙捪�-<i>伪</i>鐨勬寮﹀嚱鏁般�佷綑寮﹀嚱鏁板拰姝ｅ垏鍑芥暟鐨勮绠楀叕寮忓涓�.
+ </p>
+ <div class="bj">
+ <p class="center">sin锛埾�-<i>伪</i>锛�=sin<i>伪</i>锛�</p>
+ <p class="center">cos锛埾�-<i>伪</i>锛�=-cos<i>伪</i>锛� 鍏紡鍥�</p>
+ <p class="center">tan锛埾�-<i>伪</i>锛�=-tan<i>伪</i>.</p>
+ </div>
+ <p>
+ 鍏紡涓�鑷冲叕寮忓洓缁熺О涓轰笁瑙掑嚱鏁扮殑璇卞鍏紡.鍒╃敤杩欎簺鍏紡鍙互鎶婁换鎰忚鐨勪笁瑙掑嚱鏁拌浆鍖栦负閿愯涓夎鍑芥暟.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�4</b></span>銆�姹備笅鍒椾笁瑙掑嚱鏁扮殑鍊�.
+ </p>
+ <p>
+ 锛�1锛� cos 135掳锛涳紙2锛�
+ <math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>8</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ </math>锛涳紙3锛�
+ <math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>11</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mo stretchy="false">锛�1锛�</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>135</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <msup>
+ <mn>180</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>鈭�</mo>
+ <msup>
+ <mn>45</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <msup>
+ <mn>45</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <msqrt>
+ <mn>2</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ <mo>;</mo>
+ </math>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mo stretchy="false">锛�2锛�</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>8</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mrow>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mo>;</mo>
+ </math>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mo stretchy="false">锛�3锛�</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>11</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>4</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>4</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <msqrt>
+ <mn>2</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ <mo>.</mo>
+ </math>
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�5</b></span>銆�鍖栫畝锛�<math display="0">
+ <mfrac>
+ <mrow>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ <mo>鈰�</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ <mo>鈰�</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ <mo>鈰�</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mi>伪</mi>
+ <mo>鈭�</mo>
+ <mi>蟺</mi>
+ <mo stretchy="false">)</mo>
+ </mrow>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ </p>
+ <p class="left1">
+ <math display="">
+ <mtable displaystyle="true"
+ columnalign="right left right left right left right left right left right left"
+ columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" rowspacing="3pt">
+ <mtr>
+ <mtd>
+ <mtext> 鍘熷紡 </mtext>
+ </mtd>
+ <mtd>
+ <mi></mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mo>鈭�</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>鈰�</mo>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ </mrow>
+ <mrow>
+ <mo>鈭�</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ </mrow>
+ </mfrac>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd></mtd>
+ <mtd>
+ <mi></mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>鈰�</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>鈰�</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>鈰�</mo>
+ <mfrac>
+ <mrow>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ </mfrac>
+ </mrow>
+ </mfrac>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd></mtd>
+ <mtd>
+ <mi></mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>.</mo>
+ </mtd>
+ </mtr>
+ </mtable>
+ </math>
+ </p>
+ <p><b>褰掔撼鎬荤粨</b></p>
+ <p>
+ 鍒╃敤璇卞鍏紡锛屾妸浠绘剰瑙掔殑涓夎鍑芥暟鍊艰浆鍖栦负閿愯鐨勪笁瑙掑嚱鏁板�肩殑涓�鑸楠や负锛�
+ </p>
+ <p class="center"><img class="img-d" alt="" src="../../assets/images/0195-6.jpg" /></p>
+ </div>
</div>
</div>
@@ -436,7 +5811,189 @@
<p><span>185</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ 浜嬪疄涓婏紝浠ヤ笂姝ラ浣撶幇浜嗗皢鏈煡杞寲涓哄凡鐭ョ殑鍖栧綊鎬濇兂.鍒╃敤鍏紡涓�鑷冲叕寮忓洓锛屾寜涓婅堪姝ラ瑙ｅ喅浜嗘眰涓夎鍑芥暟鍊艰繖涓噸瑕佽�屽洶闅剧殑闂.鐜板湪锛岀敱浜庤绠楀伐鍏风殑渚挎嵎浣跨敤锛屽浜庝笁瑙掑嚱鏁扮殑鈥滄眰鍊尖�濆凡涓嶆槸闂锛屼絾鍏朵腑鐨勬�濇兂鏂规硶鍦ㄨВ鍐充笁瑙掑嚱鏁扮殑鍚勭闂涓嵈渚濈劧鏈夐噸瑕佺殑浣滅敤.
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>1.sin 150掳=锛堛��锛�.</p>
+ <p>
+ A.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ B.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ C.<math display="0">
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ D.<math display="0">
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ 2.<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>14</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ </math>锛堛��锛�.
+ </p>
+ <p>
+ A.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ B.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ C.<math display="0">
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ D.<math display="0">
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ 3.<math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>29</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>6</mn>
+ </mfrac>
+ <mo>=</mo>
+ </math>锛堛��锛�.
+ </p>
+ <p>A.-1</p>
+ <p>
+ B.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>3</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>C.1</p>
+ <p>
+ D.<math display="0">
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ </math>
+ </p>
+ </div>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /></p>
+ <p>
+ 鍓嶉潰鎴戜滑鎺㈢┒浜嗘眰鐗规畩瑙掔殑涓夎鍑芥暟鍊肩殑鏂规硶锛岃�屽浜庝笉鏄壒娈婅鐨勪笁瑙掑嚱鏁板�煎張璇ュ浣曟眰鍊煎憿锛熶娇鐢ㄨ绠楀伐鍏峰氨鑳藉緢瀹规槗鍦拌В鍐宠繖涓棶棰�.
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 鍒╃敤绉戝璁＄畻鍣ㄧ殑<img class="inline" alt="" src="../../assets/images/0196-13.jpg" />閿紝鍙互鏂逛究鍦拌绠椾换鎰忚鐨勪笁瑙掑嚱鏁板��.
+ </p>
+ <p>
+ 涓昏姝ラ濡備笅锛氳缃簿纭害鈫掕缃ā寮忥紙瑙掑害鍒舵垨寮у害鍒讹級鈫掓寜閿�<img class="inline" alt="" src="../../assets/images/0196-14.jpg" />锛堟垨閿�<img
+ class="inline" alt="" src="../../assets/images/0196-15.jpg" />锛夆啋杈撳叆瑙掔殑澶у皬鈫掓寜閿�<img class="inline" alt=""
+ src="../../assets/images/0196-16.jpg" />鏄剧ず缁撴灉.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�6</b></span>銆�鍒╃敤绉戝璁＄畻鍣ㄨ绠�.锛堢粨鏋滅簿纭埌0.01锛�
+ </p>
+ <p>
+ 锛�1锛� sin 63掳52鈥�41鈥筹紱锛�2锛�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ </math>锛涳紙3锛�
+ <math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>6</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>5</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>.
+ </p>
+ </div>
</div>
</div>
<!-- 186 -->
@@ -447,7 +6004,90 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+ 鍏堝皢绮剧‘搴﹁缃负0.01锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓鸿搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸変笅鍒楀悇閿細
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0197-1.jpg" /></p>
+ <p>缁撴灉鏄剧ず锛�</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0197-2.jpg" /></p>
+ <p>鎵�浠� sin 63掳52鈥�41鈥斥増0.90.</p>
+ <p>
+ 锛�2锛�
+ 鍏堝皢绮剧‘搴﹁缃负0.01锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓哄姬搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸変笅鍒楀悇閿細
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0197-3.jpg" /></p>
+ <p>缁撴灉鏄剧ず锛�</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0197-4.jpg" /></p>
+ <p>
+ 鎵�浠�
+ <math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mn>0.50</mn>
+ <mo>.</mo>
+ </math>
+ </p>
+ <p>
+ 锛�3锛�
+ 鍏堝皢绮剧‘搴﹁缃负0.01锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓哄姬搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸変笅鍒楀悇閿細
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0197-6.jpg" /></p>
+ <p>缁撴灉鏄剧ず锛�</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0197-7.jpg" /></p>
+ <p>
+ 鎵�浠�<math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>6</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>5</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>鈮�</mo>
+ <mo>鈭�</mo>
+ <mn>0.73</mn>
+ <mo>.</mo>
+ </math>
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>1.鍒╃敤绉戝璁＄畻鍣ㄦ眰鍊�.锛堢粨鏋滅簿纭埌0.01锛�</p>
+ <p>
+ 锛�1锛� sin 1 480掳10鈥�12鈥砡___锛涳紙2锛�
+ <math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>9</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>7</mn>
+ </mfrac>
+ <mo>鈮�</mo>
+ </math>____锛�
+ </p>
+ <p>锛�3锛� tan锛�-3.6锛夆増____.</p>
+ </div>
+ </div>
</div>
</div>
@@ -462,7 +6102,344 @@
<p><span>187</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bj">
+ <p>2.鍏堝～鈥滐紲鈥濃�滐紴鈥濇垨鈥�=鈥濓紝鍐嶇敤绉戝璁＄畻鍣ㄥ姞浠ラ獙璇�.</p>
+ <p>
+ 锛�1锛� sin 516掳____0锛涳紙2锛�
+ <math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>16</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>5</mn>
+ </mfrac>
+ </math>锛�
+ </p>
+ <p>锛�3锛� tan锛�-1 050掳锛塤___0.</p>
+ </div>
+ <h3 id="c056">涔犻5.5<span class="fontsz2">锛烇紴锛�</span></h3>
+ <div class="bj">
+ <p>
+ <span class="bj-sp"><b>姘村钩涓�</b></span>
+ </p>
+ <p>
+ 1.<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>14</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mo>=</mo>
+ </math>锛堛��锛�.
+ </p>
+ <p>
+ A.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ B.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ C.<math display="0">
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ D.<math display="0">
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>2.tan 315掳=锛堛��锛�.</p>
+ <p>A.1</p>
+ <p>B.-1</p>
+ <p>
+ C.<math display="0">
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ D.<math display="0">
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>3.濉┖棰�.锛堬紙7锛夛綖锛�9锛夊皬棰樼敤绉戝璁＄畻鍣ㄥ畬鎴愶紝缁撴灉绮剧‘鍒�0.001锛�</p>
+ <p>锛�1锛� sin 240掳=____锛涳紙2锛� cos330掳=____锛�</p>
+ <p>
+ 锛�3锛� tan 225掳=____锛涳紙4锛�
+ <math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>13</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mo>=</mo>
+ </math>锛�
+ </p>
+ <p>
+ 锛�5锛�
+ <math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>7</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>6</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ </math>锛涳紙6锛�
+ <math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>17</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ <mo>=</mo>
+ </math>____锛�
+ </p>
+ <p>
+ 锛�7锛�
+ <math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>12</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>5</mn>
+ </mfrac>
+ <mo>鈮�</mo>
+ </math>____锛涳紙8锛�
+ <math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>7</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>鈮�</mo>
+ </math>____锛�
+ </p>
+ <p>锛�9锛� tan236掳7鈥测増____.</p>
+ <p>
+ 4.璁＄畻<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>5</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>6</mn>
+ </mfrac>
+ <mo>鈭�</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>4</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>.
+ </p>
+ <p>
+ 5.鍖栫畝<math display="0">
+ <mfrac>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ <mo>鈰�</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mi>伪</mi>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ <mo stretchy="false">)</mo>
+ <mo>鈰�</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ </mrow>
+ <mrow>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ </mrow>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ <span class="bj-sp"><b>姘村钩浜�</b></span>
+ </p>
+ <p>
+ 1.宸茬煡<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mi>伪</mi>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ </math>锛屾眰sin锛埾�-<i>伪</i>锛夌殑鍊�.
+ </p>
+ <p>2.姹傚�約in锛�-1 200掳锛壜穋os 1 290掳+cos锛�-1 020掳锛壜穝in锛�-1 050掳锛�.</p>
+ <p>
+ 3.鍖栫畝<math display="0">
+ <mfrac>
+ <mrow>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ <mo>鈰�</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ <mo>鈰�</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mo>鈭�</mo>
+ <mi>伪</mi>
+ <mo>鈭�</mo>
+ <mi>蟺</mi>
+ <mo stretchy="false">)</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ </mrow>
+ <mrow>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mn>4</mn>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ <mo>鈰�</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mo stretchy="false">(</mo>
+ <mn>5</mn>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mi>伪</mi>
+ <mo stretchy="false">)</mo>
+ </mrow>
+ </mfrac>
+ </math>.
+ </p>
+ </div>
+ </div>
</div>
</div>
<!-- 188 -->
@@ -473,7 +6450,50 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h2 id="b035">
+ 5.6 姝ｅ鸡鍑芥暟鐨勫浘鍍忓拰鎬ц川<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+ </h2>
+ <h3 id="c057">5.6.1 姝ｅ鸡鍑芥暟鐨勫浘鍍�<span class="fontsz2">锛烇紴锛�</span></h3>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/gcsk.jpg" /></p>
+ <p>
+ 濡傛灉浠婂ぉ鏄�2021骞�3鏈�17鏃ユ槦鏈熶笁锛岄偅涔堝線鍓嶆帹7澶╂槸鍛ㄥ嚑锛熷線鍚庢帹7澶╂槸鍛ㄥ嚑锛熷啀杩�7澶╁張鏄懆鍑狅紵
+ </p>
+ <p>鏄剧劧锛屽墠闈㈡墍鏈夐棶棰橀兘鏄悓涓�涓瓟妗堬細鍛ㄤ笁.</p>
+ <p>
+ 鐢熸椿涓紝鍍忚繖鏍锋瘡闅�7澶╋紝鈥滃懆涓夆�濆張浼氶噸澶嶅嚭鐜帮紝杩欎釜鈥�7澶┾�濆氨鏄垜浠父璇寸殑涓�鍛紙涓�涓懆鏈燂級锛岃繖绉嶆瘡闅斾竴娈垫椂闂翠究浼氶噸澶嶅嚭鐜扮殑鐜拌薄绉颁负鍛ㄦ湡鐜拌薄.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0199-1.jpg" /></p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 鎴戜滑鐭ラ亾锛屽崟浣嶅渾涓婁换鎰忎竴鐐瑰湪鍦嗗懆涓婃棆杞竴鍛ㄥ氨鍥炲埌鍘熸潵鐨勪綅缃紝杩欒鏄庯紝
+ 鍦ㄥ嚱鏁�<i>y</i>=sin<i>x</i>涓紝褰撹嚜鍙橀噺姣忛棿闅�2蟺涓崟浣嶉暱搴︽椂锛屽搴旂殑鍑芥暟鍊奸兘浼氶噸澶嶅嚭鐜帮紝鍗硈in锛�<i>x</i>+2蟺锛�=sin<i>x</i>.
+ </p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left"><img class="img-gn1" alt="" src="../../assets/images/gn.jpg" /></p>
+ </div>
+ <p class="block">鍛ㄦ湡鍑芥暟</p>
+ <p class="block">鍛ㄦ湡</p>
+ <p class="block">鏈�灏忔鍛ㄦ湡</p>
+ </div>
+ <p>
+ 涓�鑸湴锛屽浜庡嚱鏁�<i>y</i>=<i>f</i>锛�<i>x</i>锛夛紝濡傛灉瀛樺湪涓�涓潪闆跺父鏁�<i>T</i>锛屽綋<i>x</i>鍙栧畾涔夊煙<i>D</i>鍐呯殑姣忎竴涓�兼椂锛岄兘鏈�<i>x</i>+<i>T</i>鈭�<i>D</i>锛屽苟涓旈兘婊¤冻
+ </p>
+ <p class="center"><i>f</i>锛�<i>x</i>+<i>T</i>锛�=<i>f</i>锛�<i>x</i>锛夛紝</p>
+ <p>
+ 鍒欑О鍑芥暟<i>y</i>=<i>f</i>锛�<i>x</i>锛変负<b>鍛ㄦ湡鍑芥暟</b>锛岄潪闆跺父鏁�<i>T</i>鍙綔杩欎釜鍑芥暟鐨勪竴涓�<b>鍛ㄦ湡</b>.
+ </p>
+ <p>
+ 渚嬪锛屽嚱鏁�<i>y</i>=sin<i>x</i>涓紝瀵逛簬浠绘剰<i>x</i>鈭�<b>R</b>锛岄兘鏈�<i>x</i>+2蟺鈭�<b>R</b>锛屼笖婊¤冻<i>f</i>锛�<i>x</i>+2蟺锛�=<i>f</i>锛�<i>x</i>锛�.鍙锛屾寮﹀嚱鏁版槸鍛ㄦ湡鍑芥暟锛屼笖2蟺鏄畠鐨勪竴涓懆鏈�.
+ </p>
+ <p>
+ 鍙堢敱sin锛�<i>x</i>+2蟺<i>k</i>锛�=sin<i>x</i>锛�<i>k</i>鈭�<b>Z</b>锛夛紝鍙煡2蟺锛�4蟺锛�6蟺锛屸�﹀強-2蟺锛�-4蟺锛�-6蟺锛屸�﹂兘鏄寮﹀嚱鏁�<i>y</i>=sin<i>x</i>鐨勫懆鏈�.
+ </p>
+ <p>
+ 瀵逛簬涓�涓懆鏈熷嚱鏁�<i>y</i>=<i>f</i>锛�<i>x</i>锛夛紝濡傛灉鍦ㄥ畠鐨勬墍鏈夌殑鍛ㄦ湡涓瓨鍦ㄤ竴涓渶灏忕殑姝ｆ暟锛屽氨绉拌繖涓渶灏忕殑姝ｆ暟涓�<i>y</i>=<i>f</i>锛�<i>x</i>锛夌殑<b>鏈�灏忔鍛ㄦ湡</b>.
+ </p>
+ </div>
</div>
</div>
@@ -488,7 +6508,82 @@
<p><span>189</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ 鐢辨鍙锛�2蟺灏辨槸姝ｅ鸡鍑芥暟<i>y</i>=sin<i>x</i>鐨勬渶灏忔鍛ㄦ湡.涓轰簡绠�渚胯捣瑙侊紝鏈功鎵�鎸囩殑涓夎鍑芥暟鐨勫懆鏈熶竴鑸寚鍑芥暟鐨勬渶灏忔鍛ㄦ湡.鍥犳锛屾垜浠姝ｅ鸡鍑芥暟鐨勫懆鏈熸槸2蟺.
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ <i>y</i>=sin<i>x</i>鏄互2蟺涓哄懆鏈熺殑鍑芥暟锛屾墍浠ュ彧瑕佺敾鍑哄畠鍦ㄤ竴涓畬鏁村懆鏈熷唴鐨勫浘鍍忥紝鍐嶅埄鐢ㄥ懆鏈熸�у氨鍙互寰楀埌姝ｅ鸡鍑芥暟鐨勫浘鍍�.
+ </p>
+ <p>
+ 棣栧厛锛屽垪琛�.鑷彉閲�<i>x</i>鐨勫彇鍊煎琛�5-5鎵�绀猴紝鍒╃敤绉戝璁＄畻鍣ㄦ眰鍑�<i>y</i>=sin<i>x</i>鐨勫悇涓�煎苟濉叆琛ㄤ腑.
+ </p>
+ <p class="img">琛�5-5</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0200-1.jpg" /></p>
+ <p>
+ 鍏舵锛屾弿鐐硅繛绾�.鏍规嵁琛ㄤ腑鏁板�兼弿鐐癸紝鐒跺悗鐢ㄥ厜婊戠殑鏇茬嚎鎶婂悇鐐硅繛鎺ヨ捣鏉ワ紝缁樺埗鍑哄湪锛�0锛�2蟺锛戒笂鐨勫浘鍍忥紝濡傚浘5-25鎵�绀�.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0200-2.jpg" /></p>
+ <p class="img">鍥�5-25</p>
+ <p>
+ 鐢卞浘5-25鍙互鐪嬪嚭锛屽喅瀹氬嚱鏁�<i>y</i>=sin<i>x</i>锛�<i>x</i>鈭�0锛�2蟺锛�
+ 鍥惧儚褰㈢姸鐨勬湁浜斾釜鍏抽敭鐐癸紝鍗�
+ </p>
+ <math display="block">
+ <mo stretchy="false">(</mo>
+ <mn>0</mn>
+ <mo>,</mo>
+ <mn>0</mn>
+ <mo stretchy="false">)</mo>
+ <mo>,</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>,</mo>
+ <mn>1</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>,</mo>
+ <mo stretchy="false">(</mo>
+ <mi>蟺</mi>
+ <mo>,</mo>
+ <mn>0</mn>
+ <mo stretchy="false">)</mo>
+ <mo>,</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ <mo>,</mo>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>,</mo>
+ <mo stretchy="false">(</mo>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ <mo>,</mo>
+ <mn>0</mn>
+ <mo stretchy="false">)</mo>
+ <mo>.</mo>
+ </math>
+ <p>
+ 鍥犳锛屽湪绮剧‘搴﹁姹備笉楂樻椂锛岀粡甯稿厛鎵惧嚭杩欎簲涓叧閿偣锛屽啀鐢ㄥ厜婊戠殑鏇茬嚎灏嗗畠浠繛鎺ヨ捣鏉ワ紝寰楀埌鍑芥暟<i>y</i>=sin<i>x</i>锛�<i>x</i>鈭�0锛�2蟺锛夌殑绠�鍥撅紝鎴戜滑绉拌繖绉嶇敾鍥炬柟娉曚负鈥滀簲鐐癸紙鐢诲浘锛夋硶鈥�.
+ </p>
+ <p>
+ 鏈�鍚庯紝鍒╃敤姝ｅ鸡鍑芥暟鐨勫懆鏈熸�э紝鎴戜滑灏嗗嚱鏁�<i>y</i>=sin<i>x</i>锛�<i>x</i>鈭�0锛�2蟺锛夌殑鍥惧儚鍚戝乏鎴栧悜鍙冲钩绉�2蟺锛�4蟺锛屸�︼紝鍗冲彲鐢诲嚭<i>y</i>=sin<i>x</i>鍦�<b>R</b>鐨勫浘鍍忥紝濡傚浘5-26鎵�绀�.
+ </p>
+ </div>
</div>
</div>
@@ -500,7 +6595,33 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0201-1.jpg" /></p>
+ <p class="img">鍥�5-26</p>
+ <p>姝ｅ鸡鍑芥暟<i>y</i>=sin<i>x</i>锛�<i>x</i>鈭�<b>R</b>鐨勫浘鍍忓彨浣滄寮︽洸绾�.</p>
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�鐢ㄢ�滀簲鐐规硶鈥濈敾鍑轰笅鍒楀嚱鏁板湪鍖洪棿锛�0锛�2蟺锛藉唴鐨勭畝鍥�.
+ </p>
+ <p>锛�1锛� <i>y</i>=-sin<i>x</i>锛涳紙2锛� <i>y</i>=1+sin<i>x</i>.</p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍒楄〃锛堣〃5-6锛�.
+ </p>
+ <p class="img">琛�5-6</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0201-2.jpg" /></p>
+ <p>
+ 鎻忕偣杩炵嚎寰�<i>y</i>=-sin<i>x</i>鍦ㄥ尯闂达蓟0锛�2蟺锛藉唴鐨勭畝鍥撅紝濡傚浘5-27鎵�绀�.
+ </p>
+ <p class="center"><img class="img-d" alt="" src="../../assets/images/0201-3.jpg" /></p>
+ <p class="img">鍥�5-27</p>
+ <p>锛�2锛� 鍒楄〃锛堣〃5-7锛�.</p>
+ <p class="img">琛�5-7</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0201-4.jpg" /></p>
+ <p>
+ 鎻忕偣杩炵嚎寰�<i>y</i>=1+sin<i>x</i>鍦ㄥ尯闂达蓟0锛�2蟺锛藉唴鐨勭畝鍥撅紝濡傚浘5-28鎵�绀�.
+ </p>
+ <p class="center"><img class="img-d" alt="" src="../../assets/images/0201-5.jpg" /></p>
+ <p class="img">鍥�5-28</p>
+ </div>
</div>
</div>
@@ -516,7 +6637,89 @@
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bk-hzjl">
+ <div class="bj1-hzjl">
+ <p class="left">
+ <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ <i>y</i>=-sin<i>x</i>涓�<i>y</i>=sin<i>x</i>鐨勫浘鍍忔湁浠�涔堝叧绯伙紵
+ <i>y</i>=1+sin<i>x</i>涓�<i>y</i>=sin<i>x</i>鐨勫浘鍍忔湁浠�涔堝叧绯伙紵
+ </p>
+ </div>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>
+ 瀹屾垚涓嬭〃锛堣〃5-8锛夛紝骞跺埄鐢ㄢ�滀簲鐐规硶鈥濈敾鍑�<i>y</i>=3sin
+ <i>x</i>鍦ㄥ尯闂达蓟0锛�2蟺锛藉唴鐨勭畝鍥撅紝骞惰鏄�<i>y</i>=3sin
+ <i>x</i>鐨勫浘鍍忎笌姝ｅ鸡鍑芥暟<i>y</i>=sin <i>x</i>鐨勫浘鍍忕殑鍖哄埆鍜岃仈绯�.
+ </p>
+ <p class="img">琛�5-8</p>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0202-1.jpg" />
+ </p>
+ <p class="center">
+ <img class="img-d" alt="" src="../../assets/images/0202-2.jpg" />
+ </p>
+ </div>
+ <h3 id="c058">
+ 5.6.2 姝ｅ鸡鍑芥暟鐨勬�ц川锛堜竴锛�<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+ <p>
+ 閫氳繃瑙傚療<i>y</i>=sin<i>x</i>鐨勫浘鍍忓彲鐭ユ寮﹀嚱鏁�<i>y</i>=sin<i>x</i>鐨勬�ц川.鏈妭涓昏鐮旂┒姝ｅ鸡鍑芥暟鐨勫畾涔夊煙銆佸�煎煙銆佸懆鏈熸�у拰濂囧伓鎬�.
+ </p>
+ <p>1.瀹氫箟鍩�.</p>
+ <p><i>y</i>=sin<i>x</i>鐨勫畾涔夊煙鏄�<b>R</b>.</p>
+ <p>2.鍊煎煙.</p>
+ <p>
+ 鏇茬嚎澶瑰湪涓ゆ潯鐩寸嚎<i>y</i>=1鍜�<i>y</i>=-1涔嬮棿锛屽洜姝�-1鈮in<i>x</i>鈮�1锛屽嵆<i>y</i>=sin<i>x</i>鐨勫�煎煙鏄蓟-1锛�1锛�.
+ </p>
+ <p>
+ 褰�<math display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mn>2</mn>
+ <mi>k</mi>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo stretchy="false">(</mo>
+ <mi>k</mi>
+ <mo>鈭�</mo>
+ <mrow>
+ <mi mathvariant="bold">Z</mi>
+ </mrow>
+ <mo stretchy="false">)</mo>
+ </math>鏃讹紝<i>y</i>=sin <i>x</i>鍙栧緱鏈�澶у��1锛�
+ </p>
+ <p>
+ 褰�<math display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mn>2</mn>
+ <mi>k</mi>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo stretchy="false">(</mo>
+ <mi>k</mi>
+ <mo>鈭�</mo>
+ <mrow>
+ <mi mathvariant="bold">Z</mi>
+ </mrow>
+ <mo stretchy="false">)</mo>
+ </math>鏃讹紝<i>y</i>=sin <i>x</i>鍙栧緱鏈�灏忓��-1.
+ </p>
+ </div>
</div>
</div>
@@ -528,8 +6731,207 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
-
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>3.鍛ㄦ湡鎬�.</p>
+ <p><i>y</i>=sin<i>x</i>鏄懆鏈熷嚱鏁帮紝鍛ㄦ湡鏄�2蟺.</p>
+ <p>4.濂囧伓鎬�.</p>
+ <p>
+ 鍥犱负sin锛�-<i>x</i>锛�=-sin<i>x</i>锛屾墍浠�<i>y</i>=sin<i>x</i>鏄鍑芥暟锛屽叾鍥惧儚鍏充簬鍘熺偣瀵圭О.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�宸茬煡<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mo>鈭�</mo>
+ <mi>a</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛屾眰<i>a</i>鐨勫彇鍊艰寖鍥�.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 鍥犱负銆�-1鈮in<i>x</i>鈮�1锛�
+ </p>
+ <p>
+ 鎵�浠ャ��<math display="0">
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ <mo>猢�</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mo>鈭�</mo>
+ <mi>a</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ <mo>猢�</mo>
+ <mn>1</mn>
+ </math>锛�
+ </p>
+ <p>瑙ｅ緱銆�1鈮�<i>a</i>鈮�5.</p>
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�姹備娇涓嬪垪鍑芥暟鍙栧緱鏈�澶у�笺�佹渶灏忓�肩殑<i>x</i>鐨勯泦鍚堬紝骞舵眰鍑鸿繖浜涘嚱鏁扮殑鏈�澶у�笺�佹渶灏忓��.
+ </p>
+ <p>锛�1锛� <i>y</i>=3+sin<i>x</i>锛涳紙2锛� <i>y</i>=-2sin<i>x</i>.</p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
+ 浣垮嚱鏁�<i>y</i>=3+sin<i>x</i>鍙栧緱鏈�澶у�肩殑<i>x</i>鐨勯泦鍚堬紝灏辨槸浣垮嚱鏁�<i>y</i>=sin<i>x</i>鍙栧緱鏈�澶у�肩殑<i>x</i>鐨勯泦鍚�<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mi>x</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">|</mo>
+ <mstyle scriptlevel="0">
+ <mspace width="thinmathspace"></mspace>
+ </mstyle>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mn>2</mn>
+ <mi>k</mi>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ <mo>,</mo>
+ <mi>k</mi>
+ <mo>鈭�</mo>
+ <mrow>
+ <mi mathvariant="bold">Z</mi>
+ </mrow>
+ <mo data-mjx-texclass="CLOSE">}</mo>
+ </mrow>
+ </math>.杩欐椂鍑芥暟<i>y</i>=3+sin<i>x</i>鐨勬渶澶у�间负<i>y</i>=3+1=4.
+ </p>
+ <p>
+ 浣垮嚱鏁�<i>y</i>=3+sin<i>x</i>鍙栧緱鏈�灏忓�肩殑<i>x</i>鐨勯泦鍚堬紝灏辨槸浣垮嚱鏁�<i>y</i>=sin<i>x</i>鍙栧緱鏈�灏忓�肩殑<i>x</i>鐨勯泦鍚�<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mi>x</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">|</mo>
+ <mstyle scriptlevel="0">
+ <mspace width="thinmathspace"></mspace>
+ </mstyle>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mn>2</mn>
+ <mi>k</mi>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ <mo>,</mo>
+ <mi>k</mi>
+ <mo>鈭�</mo>
+ <mrow>
+ <mi mathvariant="bold">Z</mi>
+ </mrow>
+ <mo data-mjx-texclass="CLOSE">}</mo>
+ </mrow>
+ </math>.杩欐椂鍑芥暟<i>y</i>=3+sin<i>x</i>鐨勬渶灏忓�间负<i>y</i>=3+锛�-1锛�=2.
+ </p>
+ <p>
+ 锛�2锛�
+ 浣垮嚱鏁�<i>y</i>=-2sin<i>x</i>鍙栧緱鏈�澶у�肩殑<i>x</i>鐨勯泦鍚堬紝灏辨槸浣垮嚱鏁�<i>y</i>=sin<i>x</i>鍙栧緱鏈�灏忓�肩殑<i>x</i>鐨勯泦鍚�<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mi>x</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">|</mo>
+ <mstyle scriptlevel="0">
+ <mspace width="thinmathspace"></mspace>
+ </mstyle>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mn>2</mn>
+ <mi>k</mi>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ <mo>,</mo>
+ <mi>k</mi>
+ <mo>鈭�</mo>
+ <mrow>
+ <mi mathvariant="bold">Z</mi>
+ </mrow>
+ <mo data-mjx-texclass="CLOSE">}</mo>
+ </mrow>
+ </math>.杩欐椂鍑芥暟<i>y</i>=-2sin<i>x</i>鐨勬渶澶у�间负<i>y</i>=-2脳锛�-1锛�=2.
+ </p>
+ <p>
+ 浣垮嚱鏁�<i>y</i>=-2sin<i>x</i>鍙栧緱鏈�灏忓�肩殑<i>x</i>鐨勯泦鍚堬紝灏辨槸浣垮嚱鏁�<i>y</i>=sin<i>x</i>鍙栧緱鏈�澶у�肩殑<i>x</i>鐨勯泦鍚�<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">{</mo>
+ <mi>x</mi>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">|</mo>
+ <mstyle scriptlevel="0">
+ <mspace width="thinmathspace"></mspace>
+ </mstyle>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mn>2</mn>
+ <mi>k</mi>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE" fence="true" stretchy="true" symmetric="true"></mo>
+ </mrow>
+ <mo>,</mo>
+ <mi>k</mi>
+ <mo>鈭�</mo>
+ <mrow>
+ <mi mathvariant="bold">Z</mi>
+ </mrow>
+ <mo data-mjx-texclass="CLOSE">}</mo>
+ </mrow>
+ </math>.杩欐椂鍑芥暟<i>y</i>=-2sin<i>x</i>鐨勬渶灏忓�间负<i>y</i>=-2脳1=-2.
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>
+ 1.宸茬煡<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>a</mi>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ </mrow>
+ <mn>5</mn>
+ </mfrac>
+ </math>锛屽垯<i>a</i>鐨勫彇鍊艰寖鍥翠负____.
+ </p>
+ <p>
+ 2.锛�1锛夊嚱鏁�<i>y</i>=1+0.6sin <i>x</i>鐨勬渶澶у�间负____锛� 鏈�灏忓�间负____锛�
+ </p>
+ </div>
+ </div>
</div>
</div>
@@ -544,7 +6946,257 @@
<p><span>193</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bj">
+
+ <p>
+ 锛�2锛夊嚱鏁�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>2</mn>
+ <mn>3</mn>
+ </mfrac>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ </math>鐨勬渶澶у�间负____锛屾渶灏忓�间负____.
+ </p>
+ </div>
+ <h3 id="c059">
+ 5.6.3 姝ｅ鸡鍑芥暟鐨勬�ц川锛堜簩锛�<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>5.鍗曡皟鎬�.</p>
+ <p>
+ 濡傚浘5-29鎵�绀猴紝閫夊彇姝ｅ鸡鏇茬嚎鍦ㄩ暱搴︿负2蟺鐨勫尯闂�<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">[</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>,</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">]</mo>
+ </mrow>
+ </math>鍐呯殑鍥惧儚杩涜鑰冩煡.
+ </p>
+ <p class="center"><img class="img-d" alt="" src="../../assets/images/0204-3.jpg" /></p>
+ <p class="img">鍥�5-29</p>
+ <p>
+ <i>y</i>=sin<i>x</i> 鍦ㄥ尯闂�<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">[</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>,</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">]</mo>
+ </mrow>
+ </math>涓婃槸澧炲嚱鏁帮紝鍦ㄥ尯闂�<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">[</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>,</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">]</mo>
+ </mrow>
+ </math>涓婃槸鍑忓嚱鏁�.鐢辨寮﹀嚱鏁扮殑鍛ㄦ湡鎬у彲鐭ワ細<i>y</i>=sin<i>x</i>鍦ㄦ瘡涓�涓尯闂�<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">[</mo>
+ <mn>2</mn>
+ <mi>k</mi>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>,</mo>
+ <mn>2</mn>
+ <mi>k</mi>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">]</mo>
+ </mrow>
+ </math>涓婇兘鏄鍑芥暟锛屽嚱鏁板�肩敱-1澧炲ぇ鍒�1锛涘湪姣忎竴涓尯闂�<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">[</mo>
+ <mn>2</mn>
+ <mi>k</mi>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>,</mo>
+ <mn>2</mn>
+ <mi>k</mi>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">]</mo>
+ </mrow>
+ </math>涓婇兘鏄噺鍑芥暟锛屽嚱鏁板�肩敱1鍑忓皬鍒�-1.
+ </p>
+ <p><b>渚�</b> 涓嶆眰鍊硷紝鍒╃敤姝ｅ鸡鍑芥暟鐨勫崟璋冩�э紝姣旇緝涓嬪垪鍚勫姝ｅ鸡鍊肩殑澶у皬.</p>
+ <p>
+ 锛�1锛�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ </math>涓�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ </math>锛涳紙2锛�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>9</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>涓�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>10</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负銆�<math display="0">
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo><</mo>
+ <mfrac>
+ <mrow>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mo><</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ <mo><</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛�
+ </p>
+ <p>
+ 鑰�<i>y</i>=sin <i>x</i> 鍦�<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">[</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>,</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">]</mo>
+ </mrow>
+ </math>涓婃槸鍑忓嚱鏁帮紝鎵�浠�
+ </p>
+ <math display="block">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ <mo><</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mtext>. </mtext>
+ </math>
+ </div>
</div>
</div>
@@ -556,7 +7208,211 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+
+ <p>
+ 锛�2锛� 鍥犱负銆�<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo><</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>9</mn>
+ </mfrac>
+ <mo><</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>10</mn>
+ </mfrac>
+ <mo><</mo>
+ <mn>0</mn>
+ </math>锛�
+ </p>
+ <p>
+ 鑰�<i>y</i>=sin <i>x</i>鍦�<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">[</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>,</mo>
+ <mn>0</mn>
+ <mo data-mjx-texclass="CLOSE">]</mo>
+ </mrow>
+ </math>涓婃槸澧炲嚱鏁帮紝鎵�浠�
+ </p>
+ <math display="block">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>9</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo><</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>10</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>涓嶆眰鍊硷紝鍒╃敤姝ｅ鸡鍑芥暟鐨勫崟璋冩�э紝姣旇緝涓嬪垪鍚勫姝ｅ鸡鍑芥暟鍊肩殑澶у皬.</p>
+ <p>
+ 锛�1锛�
+ <math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>12</mn>
+ </mfrac>
+ </math>____<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>11</mn>
+ </mfrac>
+ </math>锛涳紙2锛� sin 250掳____sin 260掳.
+ </p>
+ </div>
+ <h3 id="c060">涔犻5.6<span class="fontsz2">锛烇紴锛�</span></h3>
+ <div class="bj">
+ <p>
+ <span class="bj-sp"><b>姘村钩涓�</b></span>
+ </p>
+ <p>1.姣旇緝澶у皬.</p>
+ <p>
+ 锛�1锛� sin 53掳____sin 78掳锛涳紙2锛�
+ <math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>5</mn>
+ </mfrac>
+ </math>____<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>5</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>2.鍑芥暟<i>y</i>=2sin <i>x</i>鐨勬渶澶у�间负____锛屾渶灏忓�间负____.</p>
+ <p>
+ 3.宸茬煡<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>a</mi>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛屽垯<i>a</i>鐨勫彇鍊艰寖鍥翠负____.
+ </p>
+ <p>
+ 4.姹傚嚱鏁�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ </math>锛�<i>x</i>鈭�0锛�2蟺鐨勫崟璋冨尯闂�.
+ </p>
+ <p>
+ 5.鍒╃敤鈥滀簲鐐规硶鈥濈敾鍑哄嚱鏁�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ </math>鍦ㄤ竴涓懆鏈熷唴鐨勫浘鍍�.
+ </p>
+ <p>
+ <span class="bj-sp"><b>姘村钩浜�</b></span>
+ </p>
+ <p>1.姹傚嚱鏁�<i>y</i>=-1-1.5sin <i>x</i>鐨勬渶澶у�间笌鏈�灏忓��.</p>
+ <p>2.姹傚嚱鏁�<i>y</i>=3-2sin <i>x</i>锛�<i>x</i>鈭�<b>R</b>鐨勫崟璋冨尯闂�.</p>
+ <p>3.涓嶆眰鍊硷紝鍒╃敤鍑芥暟鐨勫崟璋冩�э紝姣旇緝涓嬪垪鍚勫姝ｅ鸡鍊肩殑澶у皬.</p>
+ <p>锛�1锛� sin 500掳涓巗in 140掳锛�</p>
+ <p>
+ 锛�2锛�
+ <math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>5</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>6</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>涓�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>6</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>7</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>.
+ </p>
+ </div>
+ </div>
</div>
</div>
@@ -571,7 +7427,41 @@
<p><span>195</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h2 id="b036">
+ 5.7 浣欏鸡鍑芥暟鐨勫浘鍍忓拰鎬ц川<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+ </h2>
+ <h3 id="c061">5.7.1 浣欏鸡鍑芥暟鐨勫浘鍍�<span class="fontsz2">锛烇紴锛�</span></h3>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /></p>
+ <p>
+ 鎴戜滑瀛︿範浜嗘寮﹀嚱鏁扮殑鍥惧儚鍜屾�ц川锛屼綘鑳界敤绫讳技鐨勬柟娉曠粯鍒跺嚭浣欏鸡鍑芥暟鐨勫浘鍍忥紝骞舵牴鎹浘鍍忕爺绌跺畠鐨勬�ц川鍚楋紵
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>鏍规嵁璇卞鍏紡鍙煡锛�</p>
+ <p class="center">cos锛�<i>x</i>+2蟺锛�=cos <i>x</i>.</p>
+ <p>
+ 鐢卞懆鏈熷嚱鏁扮殑瀹氫箟鍙煡锛屼綑寮﹀嚱鏁�<i>y</i>=cos<i>x</i>鏄互2蟺涓哄懆鏈熺殑鍛ㄦ湡鍑芥暟.涓虹敾鍑哄嚱鏁�<i>y</i>=cos<i>x</i>鐨勫浘鍍忥紝鍙豢鐓ф寮︽洸绾跨殑鐢绘硶锛屽厛鐢ㄦ弿鐐规硶鐢诲嚭瀹冨湪涓�涓懆鏈燂蓟0锛�2蟺锛藉唴鐨勫浘鍍忥紝鐒跺悗鍒╃敤鍛ㄦ湡鎬х敾鍑哄叾瀹屾暣鍥惧儚.
+ </p>
+ <p>
+ 棣栧厛锛屽垪琛�.鑷彉閲�<i>x</i>鍙栧�煎琛�5-9鎵�绀猴紝鍒╃敤绉戝璁＄畻鍣ㄦ眰鍑篶os
+ <i>x</i>鐨勫悇涓�煎苟濉叆琛ㄤ腑.
+ </p>
+ <p class="img">琛�5-9</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0206-1.jpg" /></p>
+ <p>
+ 鍏舵锛屾弿鐐硅繛绾�.鏍规嵁琛ㄤ腑鏁板�兼弿鐐癸紝鐢ㄥ厜婊戠殑鏇茬嚎鎶婂悇鐐硅繛鎺ヨ捣鏉ワ紝寰楀嚭鍥惧儚濡傚浘5-30鎵�绀�.
+ </p>
+ <p class="center"><img class="img-d" alt="" src="../../assets/images/0206-2.jpg" /></p>
+ <p class="img">鍥�5-30</p>
+ <p>
+ 鏈�鍚庯紝鍒╃敤浣欏鸡鍑芥暟鐨勫懆鏈熸�э紝鎶�<i>y</i>=cos
+ <i>x</i>鍦蓟0锛�2蟺锛藉唴鐨勫浘鍍忓悜宸︽垨鍚戝彸骞崇Щ2蟺锛�4蟺锛屸�﹀氨鍙互鐢诲嚭<i>y</i>=cos
+ <i>x</i>鍦�<b>R</b>涓婄殑鍥惧儚锛屽鍥�5-31鎵�绀�.
+ </p>
+ <p>
+ 浣欏鸡鍑芥暟<i>y</i>=cos<i>x</i>锛�<i>x</i>鈭�<b>R</b>鐨勫浘鍍忓彨浣�<b>浣欏鸡鏇茬嚎</b>.
+ </p>
+ </div>
</div>
</div>
<!-- 196 -->
@@ -582,7 +7472,90 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0207-1.jpg" /></p>
+ <p class="img">鍥�5-31</p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 1.涓庣敾姝ｅ鸡鍑芥暟鐨勫浘鍍忎竴鏍凤紝涔熷彲浠ョ敤鈥滀簲鐐规硶鈥濈敾鍑�<i>y</i>=cos<i>x</i>鍦�0锛�2蟺鍐呯殑绠�鍥撅紝杩欎簲涓叧閿偣鏄細
+ </p>
+ <math display="block">
+ <mo stretchy="false">(</mo>
+ <mn>0</mn>
+ <mo>,</mo>
+ <mn>1</mn>
+ <mo stretchy="false">)</mo>
+ <mo>,</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>,</mo>
+ <mn>0</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>,</mo>
+ <mo stretchy="false">(</mo>
+ <mi>蟺</mi>
+ <mo>,</mo>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ <mo stretchy="false">)</mo>
+ <mo>,</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ <mo>,</mo>
+ <mn>0</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>,</mo>
+ <mo stretchy="false">(</mo>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ <mo>,</mo>
+ <mn>1</mn>
+ <mo stretchy="false">)</mo>
+ <mtext>. </mtext>
+ </math>
+ <p class="block">
+ 2.姝ｅ鸡鍑芥暟鐨勫浘鍍忓悜宸﹀钩绉�<math display="0">
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ </math>涓崟浣嶉暱搴﹀嵆鍙緱鍒颁綑寮﹀嚱鏁扮殑鍥惧儚锛屽鍥�5-32鎵�绀�.
+ </p>
+ <p class="center">
+ <img class="img-c" alt="" src="../../assets/images/0207-4.jpg" />
+ </p>
+ <p class="img">鍥�5-32</p>
+ </div>
+ <p><b>渚�</b> 鐢ㄢ�滀簲鐐规硶鈥濈敾鍑轰笅鍒楀嚱鏁板湪鍖洪棿锛�0锛�2蟺锛藉唴鐨勭畝鍥�.</p>
+ <p>锛�1锛� <i>y</i>=2cos <i>x</i>锛涳紙2锛� <i>y</i>=-1+cos <i>x</i>.</p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍒楄〃锛堣〃5-10锛�.
+ </p>
+ <p class="img">琛�5-10</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0207-5.jpg" /></p>
+ <p class="center"><img class="img-f" alt="" src="../../assets/images/0207-6.jpg" /></p>
+ <p class="img">鍥�5-33</p>
+ <p>鎻忕偣杩炵嚎寰�<i>y</i>=2cos <i>x</i>鍦ㄥ尯闂达蓟0锛�2蟺锛�</p>
+ <p>鍐呯殑绠�鍥撅紝濡傚浘5-33鎵�绀�.</p>
+ </div>
</div>
</div>
@@ -597,7 +7570,35 @@
<p><span>197</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>锛�2锛� 鍒楄〃锛堣〃5-11锛�.</p>
+ <p class="img">琛�5-11</p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0208-1.jpg" /></p>
+ <p>
+ 鎻忕偣杩炵嚎寰�<i>y</i>=-1+cos <i>x</i>鍦ㄥ尯闂达蓟0锛�2蟺锛藉唴鐨勭畝鍥撅紝濡傚浘5-34鎵�绀�.
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0208-2.jpg" /></p>
+ <p class="img">鍥�5-34</p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>
+ 瀹屾垚涓嬭〃锛堣〃5-12锛夛紝鍒╃敤鈥滀簲鐐规硶鈥濈敾鍑�<i>y</i>=1-cos
+ <i>x</i>鍦ㄥ尯闂达蓟0锛�2蟺锛藉唴鐨勭畝鍥撅紝骞惰鏄�<i>y</i>=1-cos
+ <i>x</i>鐨勫浘鍍忎笌<i>y</i>=cos <i>x</i>鐨勫浘鍍忕殑鍖哄埆鍜岃仈绯�.
+ </p>
+ <p class="img">琛�5-12</p>
+ <p class="center">
+ <img class="img-a" alt="" src="../../assets/images/0208-3.jpg" />
+ </p>
+ <p>
+ 瀵规瘮<i>y</i>=cos <i>x</i>鐨勫浘鍍忥紝<i>y</i>=1-cos
+ <i>x</i>鍥惧儚鏄皢<i>y</i>=cos <i>x</i>鐨勫浘鍍忛�氳繃____鍙樺寲鑰屽緱鍒扮殑.
+ </p>
+ <p class="center">
+ <img class="img-d" alt="" src="../../assets/images/0208-4.jpg" />
+ </p>
+ </div>
+ </div>
</div>
</div>
@@ -609,7 +7610,60 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c062">5.7.2 浣欏鸡鍑芥暟鐨勬�ц川<span class="fontsz2">锛烇紴锛�</span></h3>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /></p>
+ <p>
+ 閫氳繃瑙傚療<i>y</i>=cos <i>x</i>鐨勫浘鍍忓彲鐭ワ紝浣欏鸡鍑芥暟<i>y</i>=cos
+ <i>x</i>鐨勬�ц川鏈夛細
+ </p>
+ <p>1.瀹氫箟鍩�.</p>
+ <p><i>y</i>=cos <i>x</i>鐨勫畾涔夊煙鏄�<b>R</b>.</p>
+ <p>2.鍊煎煙.</p>
+ <p>
+ 鐢变綑寮﹀嚱鏁扮殑鍥惧儚鍙互鐪嬪嚭锛屾洸绾垮す鍦ㄤ袱鏉＄洿绾�<i>y</i>=1鍜�<i>y</i>=-1涔嬮棿锛屽洜姝�-1鈮os
+ <i>x</i>鈮�1锛屽嵆<i>y</i>=cos <i>x</i>鐨勫�煎煙鏄蓟-1锛�1锛�.
+ </p>
+ <p>
+ 褰�<i>x</i>=2<i>k</i>蟺锛�<i>k</i>鈭�<b>Z</b>锛夋椂锛�<i>y</i>=cos
+ <i>x</i>鍙栧緱鏈�澶у��1锛�
+ </p>
+ <p>
+ 褰�<i>x</i>=2<i>k</i>蟺+蟺锛�<i>k</i>鈭�<b>Z</b>锛夋椂锛�<i>y</i>=cos
+ <i>x</i>鍙栧緱鏈�灏忓��-1.
+ </p>
+ <p>3.鍛ㄦ湡鎬�.</p>
+ <p><i>y</i>=cos <i>x</i>鏄懆鏈熷嚱鏁帮紝鍛ㄦ湡鏄�2蟺.</p>
+ <p>4.濂囧伓鎬�.</p>
+ <p>
+ 鍥犱负cos锛�-<i>x</i>锛�=cos <i>x</i>锛屾墍浠�<i>y</i>=cos
+ <i>x</i>鏄伓鍑芥暟锛屽叾鍥惧儚鍏充簬<i>y</i>杞村绉�.
+ </p>
+ <p>5.鍗曡皟鎬�.</p>
+ <p>
+ <i>y</i>=cos <i>x</i>鍦ㄥ尯闂达蓟0锛屜�锛戒笂鏄噺鍑芥暟锛屽湪锛幌�锛�2蟺锛戒笂鏄鍑芥暟.
+ </p>
+ <p>
+ 浣欏鸡鍑芥暟<i>y</i>=cos
+ <i>x</i>鍦ㄦ瘡涓�涓尯闂达蓟2<i>k</i>蟺锛�2<i>k</i>蟺+蟺锛斤紙<i>k</i>鈭�<b>Z</b>锛変笂閮芥槸鍑忓嚱鏁帮紝鍏跺�肩敱1鍑忓皬鍒�-1锛涘湪姣忎竴涓尯闂达蓟2<i>k</i>蟺+蟺锛�2<i>k</i>蟺+2蟺锛斤紙<i>k</i>鈭�<b>Z</b>锛変笂閮芥槸澧炲嚱鏁帮紝鍏跺�肩敱-1澧炲ぇ鍒�1.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�姹傚嚱鏁�<i>y</i>=-1+cos <i>x</i>鐨勬渶澶у�笺�佹渶灏忓�笺�佹渶灏忔鍛ㄦ湡鍙婂�煎煙.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>
+ 褰�<i>x</i>=2<i>k</i>蟺锛�<i>k</i>鈭�<b>Z</b>锛夋椂锛屽嚱鏁�<i>y</i>=-1+cos
+ <i>x</i>鐨勬渶澶у�间负<i>y</i>=1-1=0锛�
+ </p>
+ <p>
+ 褰�<i>x</i>=2<i>k</i>蟺+蟺锛�<i>k</i>鈭�<i>Z</i>锛夋椂锛屽嚱鏁�<i>y</i>=-1+cos
+ <i>x</i>鐨勬渶灏忓�间负<i>y</i>=-1-1=-2锛�
+ </p>
+ <p>
+ 鍑芥暟<i>y</i>=-1+cos <i>x</i>鐨勬渶灏忔鍛ㄦ湡涓�2蟺锛涘嚱鏁�<i>y</i>=-1+cos
+ <i>x</i>鐨勫�煎煙涓篬-2锛�0].
+ </p>
+ </div>
</div>
</div>
<!-- 199 -->
@@ -624,7 +7678,319 @@
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bk-hzjl">
+ <div class="bj1-hzjl">
+ <p class="left">
+ <img class="img-gn2" alt="" src="../../assets/images/hzjl.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 1.<i>y</i>=2cos <i>x</i>涓�<i>y</i>=cos <i>x</i>鐨勫浘鍍忔湁浠�涔堝叧绯伙紵
+ </p>
+ <p class="block">
+ 2.<i>y</i>=-1+cos <i>x</i>涓�<i>y</i>=cos <i>x</i>鐨勫浘鍍忔湁浠�涔堝叧绯伙紵
+ </p>
+ </div>
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�涓嶆眰鍊硷紝鍒╃敤浣欏鸡鍑芥暟鐨勫崟璋冩�э紝姣旇緝涓嬪垪鍚勫浣欏鸡鍊肩殑澶у皬.
+ </p>
+ <p>
+ 锛�1锛�
+ <math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>6</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>5</mn>
+ </mfrac>
+ </math>涓�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>5</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ </math>锛涳紙2锛�
+ <math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>7</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>涓�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>8</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>锛�1锛� 鍥犱负<math display="0">
+ <mi>蟺</mi>
+ <mo><</mo>
+ <mfrac>
+ <mrow>
+ <mn>6</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>5</mn>
+ </mfrac>
+ <mo><</mo>
+ <mfrac>
+ <mrow>
+ <mn>5</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ <mo><</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛岃�屽嚱鏁�<i>y</i>=cos <i>x</i>鍦�<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">[</mo>
+ <mi>蟺</mi>
+ <mo>,</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">]</mo>
+ </mrow>
+ </math>涓婃槸澧炲嚱鏁帮紝鎵�浠�
+ </p>
+ <math display="block">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>6</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>5</mn>
+ </mfrac>
+ <mo><</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>5</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ <mo>.</mo>
+ </math>
+ <p>
+ 锛�2锛�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>7</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>7</mn>
+ </mfrac>
+ </math>锛�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>8</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>8</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ 鍥犱负<math display="0">
+ <mn>0</mn>
+ <mo><</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>8</mn>
+ </mfrac>
+ <mo><</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>7</mn>
+ </mfrac>
+ <mo><</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛岃�屽嚱鏁�<i>y</i>=cos <i>x</i>鍦�0锛�<math display="0">
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">[</mo>
+ <mn>0</mn>
+ <mo>,</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">]</mo>
+ </mrow>
+ </math>涓婃槸鍑忓嚱鏁帮紝鎵�浠�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>7</mn>
+ </mfrac>
+ <mo><</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>8</mn>
+ </mfrac>
+ </math>锛屽嵆
+ </p>
+ <math display="block">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>7</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo><</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>8</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>.</mo>
+ </math>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>
+ 1.锛�1锛� 鍑芥暟<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <mn>1</mn>
+ <mo>+</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ </math>鐨勬渶澶у�间负____锛屾渶灏忓�间负____锛屾渶灏忔鍛ㄦ湡涓篲___锛�
+ </p>
+ <p>锛�2锛� 鍑芥暟<i>y</i>=1+4cos <i>x</i>鐨勬渶澶у�间负____锛屾渶灏忓�间负____.</p>
+ <p>2.姣旇緝澶у皬.</p>
+ <p>
+ 锛�1锛� cos 157掳____cos 160掳锛涳紙2锛�
+ <math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>5</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>______<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>.
+ </p>
+ <p>3.涓嬪垪绛夊紡鏄惁鎴愮珛锛熷苟璇存槑鐞嗙敱.</p>
+ <p>锛�1锛� cos<sup>2</sup><i>x</i>=1锛涳紙2锛� 2cos <i>x</i>=3.</p>
+ <p>
+ 4.姹備娇涓嬪垪鍑芥暟鍙栧緱鏈�澶у�笺�佹渶灏忓�肩殑<i>x</i>鐨勯泦鍚堬紝骞舵眰鍑鸿繖涓嚱鏁扮殑鏈�澶у�笺�佹渶灏忓��.
+ </p>
+ <p>
+ 锛�1锛� <i>y</i>=-3cos <i>x</i>锛涳紙2锛�
+ <math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <mn>4</mn>
+ <mo>+</mo>
+ <mfrac>
+ <mn>5</mn>
+ <mn>6</mn>
+ </mfrac>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ </math>.
+ </p>
+ </div>
+ </div>
</div>
</div>
@@ -636,7 +8002,174 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h3 id="c063">涔犻5.7<span class="fontsz2">锛烇紴锛�</span></h3>
+ <div class="bj">
+ <p>
+ <span class="bj-sp"><b>姘村钩涓�</b></span>
+ </p>
+ <p>1.姣旇緝澶у皬.</p>
+ <p>
+ 锛�1锛� cos 153掳____cos 173掳锛涳紙2锛�
+ <math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>8</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>7</mn>
+ </mfrac>
+ </math>____<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>9</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>7</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>2.锛�1锛� 鍑芥暟<i>y</i>=3cos <i>x</i>鐨勬渶澶у�间负____锛屾渶灏忓�间负____锛�</p>
+ <p>锛�2锛� 鍑芥暟<i>y</i>=-0.5cos <i>x</i>鐨勬渶澶у�间负____锛屾渶灏忓�间负____.</p>
+ <p>
+ 3.鍑芥暟<i>y</i>=1+3cos
+ <i>x</i>锛�<i>x</i>鈭�0锛�2蟺锛屽綋<i>x</i>=____鏃讹紝<i>y</i>鍙栨渶澶у�硷紱褰�<i>x</i>=____鏃讹紝<i>y</i>鍙栨渶灏忓��.
+ </p>
+ <p>4.姹傚嚱鏁�<i>y</i>=2+cos <i>x</i>锛�<i>x</i>鈭�0锛�2蟺鐨勫崟璋冨尯闂�.</p>
+ <p>5.鍒╃敤鈥滀簲鐐规硶鈥濈敾鍑哄嚱鏁�<i>y</i>=-4cos <i>x</i>鍦ㄥ尯闂�0锛�2蟺鍐呯殑鍥惧儚.</p>
+ <p>
+ <span class="bj-sp"><b>姘村钩浜�</b></span>
+ </p>
+ <p>1.姹傚嚱鏁�<i>y</i>=|cos <i>x</i>鐨勬渶灏忔鍛ㄦ湡.</p>
+ <p>
+ 2.姹傚嚱鏁�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>2</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ <mn>1</mn>
+ <mo>+</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ </mrow>
+ </mfrac>
+ </math>鐨勫畾涔夊煙.
+ </p>
+ <p>3.涓嶆眰鍊硷紝鍒╃敤鍑芥暟鐨勫崟璋冩�э紝姣旇緝涓嬪垪鍚勫鍑芥暟鍊肩殑澶у皬.</p>
+ <p>
+ 锛�1锛�
+ <math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>23</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>5</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>涓�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>17</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛�
+ </p>
+ <p>
+ 锛�2锛�
+ <math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>7</mn>
+ </mfrac>
+ </math>涓�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>5</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>.
+ </p>
+ </div>
+ <h2 id="b037">
+ 5.8 宸茬煡涓夎鍑芥暟鍊硷紝姹傛寚瀹氳寖鍥寸殑瑙�<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span>
+ </h2>
+ <h3 id="c064">
+ 5.8.1 宸茬煡鐗规畩涓夎鍑芥暟鍊兼眰瑙�<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /></p>
+ <p>
+ 濡傛灉<math display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ </math>锛岄偅涔�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛涘弽涔嬶紝濡傛灉<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛岄偅涔�<math display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ </math>鍚楋紵
+ </p>
+ </div>
</div>
</div>
<!-- 201 -->
@@ -650,7 +8183,247 @@
<p><span>201</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 鐢�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>鍙煡锛�<math display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ </math>鏄弧瓒�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>鐨勪竴涓锛岃繕鏈夋病鏈夋洿澶氱殑瑙掍篃鑳芥弧瓒�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>鍛紵鎴戜滑鍊熷姪姝ｅ鸡鏇茬嚎鏉ユ帰绌堕棶棰�.
+ </p>
+ <p>
+ 濡傚浘5-35鎵�绀猴紝鏉′欢涓殑<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛屽湪鍥惧儚涓氨鍙互琛ㄧず涓�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛岄棶棰樺氨杞寲涓烘眰褰�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>鐨勫�硷紝鍗崇洿绾�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>涓庢寮︽洸绾�<i>y</i>=sin <i>x</i>浜ょ偣鎵�瀵瑰簲鐨�<i>x</i>鐨勫��.
+ </p>
+ <p class="center"><img class="img-a" alt="" src="../../assets/images/0212-9.jpg" /></p>
+ <p class="img">鍥�5-35</p>
+ <p>
+ 瑙傚療鍥惧儚鍙煡锛岀洿绾�<math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>涓庢寮︽洸绾�<i>y</i>=sin <i>x</i>鐨勪氦鐐规湁鏃犳暟涓�.
+ </p>
+ <p>
+ 鐜板皢闂鐨勮寖鍥撮檺瀹氫负<i>x</i>鈭堬蓟0锛�2蟺锛斤紝鐢卞浘鍍忓彲鐭ワ紝婊¤冻鏉′欢鐨勪氦鐐瑰叡鏈変袱涓�.
+ </p>
+ <p>
+ 鍥犱负<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ </math>锛屾墍浠�<i>x</i>鏄涓�鎴栫浜岃薄闄愯.
+ </p>
+ <p>
+ 婊¤冻<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>鐨勯攼瑙掓槸<math display="0">
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ </math>锛屾墍浠ョ鍚堟潯浠剁殑绗竴璞￠檺鐨勮鏄�<math display="0">
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ 鐢辫瀵煎叕寮�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>鍙煡锛�<math display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mn>5</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>6</mn>
+ </mfrac>
+ </math>锛屾墍浠ョ鍚堟潯浠剁殑绗簩璞￠檺瑙掓槸<math display="0">
+ <mfrac>
+ <mrow>
+ <mn>5</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>6</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ 鎵�浠�
+ <math display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>6</mn>
+ </mfrac>
+ </math>鎴�<math display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mn>5</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>6</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�宸茬煡<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <msqrt>
+ <mn>2</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛屼笖<i>x</i>鈭堬蓟0锛�2蟺锛� 锛屾眰<i>x</i>鐨勫��.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 鍥犱负<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <msqrt>
+ <mn>2</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ </math>锛屾墍浠�<i>x</i>鏄浜屾垨绗笁璞￠檺瑙�.
+ </p>
+ </div>
</div>
</div>
@@ -662,7 +8435,335 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ 婊¤冻<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <msqrt>
+ <mn>2</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>鐨勯攼瑙掓槸<math display="0">
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>4</mn>
+ </mfrac>
+ </math>锛屾墍浠�
+ </p>
+ <p>
+ 绗﹀悎鏉′欢鐨勭浜岃薄闄愯鏄�<math display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mi>蟺</mi>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>4</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ </math>锛�
+ </p>
+ <p>
+ 绗﹀悎鏉′欢鐨勭涓夎薄闄愯鏄�<math display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mi>蟺</mi>
+ <mo>+</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>4</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mn>5</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ 鎵�浠�<math display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ </math>鎴�<math display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mn>5</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�宸茬煡<math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mi>k</mi>
+ <mi>蟺</mi>
+ <mo>,</mo>
+ <mi>k</mi>
+ <mo>鈭�</mo>
+ <mrow>
+ <mi mathvariant="bold">Z</mi>
+ </mrow>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛屼笖0掳鈮�<i>x</i>鈮�360掳锛屾眰<i>x</i>鐨勫��.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 鍥犱负<math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ </math>锛屾墍浠�<i>x</i>鏄涓�鎴栫涓夎薄闄愯.
+ </p>
+ <p>
+ 鐢�<math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>60</mn>
+ <mrow>
+ <mo>掳</mo>
+ </mrow>
+ <mo>=</mo>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ </math>鍙煡锛岀鍚堟潯浠剁殑绗竴璞￠檺瑙掓槸<i>x</i>=60掳.
+ </p>
+ <p>
+ 鍙堝洜涓�<math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mn>180</mn>
+ <mrow>
+ <mo>掳</mo>
+ </mrow>
+ <mo>+</mo>
+ <mn>60</mn>
+ <mrow>
+ <mo>掳</mo>
+ </mrow>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>60</mn>
+ <mrow>
+ <mo>掳</mo>
+ </mrow>
+ <mo>=</mo>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ </math>锛�
+ </p>
+ <p>鎵�浠ョ鍚堟潯浠剁殑绗笁璞￠檺瑙掓槸<i>x</i>=180掳+60掳=240掳.</p>
+ <p>鎵�浠�<i>x</i>=60掳鎴�<i>x</i>=240掳.</p>
+ <div class="bk">
+ <div class="bj1">
+ <p class="left">
+ <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" />
+ </p>
+ </div>
+ <p class="block">
+ 宸茬煡涓夎鍑芥暟鍊硷紝姹傜粰瀹氳寖鍥寸殑瑙�<i>x</i>鐨勫�硷紝鍏跺熀鏈楠ゅ涓�.
+ </p>
+ <p class="block">
+ 锛�1锛� 鏍规嵁宸茬煡涓夎鍑芥暟鍊肩殑绗﹀彿锛屽垽瀹氳<i>x</i>鎵�鍦ㄧ殑璞￠檺锛�
+ </p>
+ <p class="block">锛�2锛� 姹傚嚭婊¤冻涓夎鍑芥暟鍊肩殑閿愯<i>x</i>鈥诧紱</p>
+ <p class="block">
+ 锛�3锛�
+ 鏍规嵁<i>x</i>鎵�鍦ㄧ殑璞￠檺鍜岃瀵煎叕寮忥紝鍐欏嚭婊¤冻棰樼洰缁欏畾鑼冨洿鐨�<i>x</i>鐨勫��.
+ </p>
+ </div>
+ <p>
+ <span class="zt-ls"><b>渚�3</b></span>銆�宸茬煡<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛屼笖<i>x</i>鈭堬蓟-蟺锛屜�锛斤紝姹�<i>x</i>鐨勫��.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 鍥犱负<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ </math>锛屾墍浠�<i>x</i>鏄涓�鎴栫鍥涜薄闄愯.
+ </p>
+ <p>
+ 婊¤冻<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>鐨勯攼瑙掓槸<math display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ </math>锛屾墍浠ョ鍚堟潯浠剁殑绗竴璞￠檺瑙掓槸<math display="0">
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ 鍥犱负<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛�
+ </p>
+ <p>
+ 鎵�浠ョ鍚堟潯浠剁殑绗洓璞￠檺瑙掓槸<math display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p>
+ 鎵�浠�<math display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ </math>鎴�<math display="0">
+ <mi>x</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>3</mn>
+ </mfrac>
+ </math>.
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>
+ 1.宸茬煡<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <msqrt>
+ <mn>2</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛屼笖<i>x</i>鈭堬蓟0锛�2蟺锛斤紝鍒�<i>x</i>鐨勫�间负____.
+ </p>
+ <p>
+ 2.宸茬煡<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛屼笖<i>x</i>鈭堬蓟0锛�2蟺锛斤紝鍒�<i>x</i>鐨勫�间负____.
+ </p>
+
+ </div>
+ </div>
</div>
</div>
@@ -677,7 +8778,113 @@
<p><span>203</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bj">
+ <p>
+ 3.宸茬煡<math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>3</mn>
+ </mfrac>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mi>k</mi>
+ <mi>蟺</mi>
+ <mo>,</mo>
+ <mi>k</mi>
+ <mo>鈭�</mo>
+ <mrow>
+ <mi mathvariant="bold">Z</mi>
+ </mrow>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛屼笖<i>x</i>鈭堬蓟0锛�2蟺锛斤紝鍒�<i>x</i>鐨勫�间负____.
+ </p>
+ </div>
+ <h3 id="c065">
+ 5.8.2 宸茬煡浠绘剰涓夎鍑芥暟鍊兼眰瑙�<span class="fontsz2">锛烇紴锛�</span>
+ </h3>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/wttc.jpg" /></p>
+ <p>
+ 鎴戜滑宸茬粡鎺㈢┒浜嗗凡鐭ョ壒娈婄殑涓夎鍑芥暟鍊兼眰瑙掔殑鏂规硶锛岃�屽浜庝笉鏄壒娈婄殑涓夎鍑芥暟鍊硷紝鍙堣濡備綍姹傝鍛紵
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/fxlj.jpg" /></p>
+ <p>
+ 鏍规嵁宸茬煡鐗规畩鐨勪笁瑙掑嚱鏁板�兼眰瑙掔殑鏂规硶锛屽�熷姪璁＄畻宸ュ叿锛屽彲浠ヨВ鍐冲凡鐭ヤ换鎰忎笁瑙掑嚱鏁板�兼眰瑙掔殑闂.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�1</b></span>銆�宸茬煡<math display="0">
+ <mi>伪</mi>
+ <mo>鈭�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">[</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>,</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">]</mo>
+ </mrow>
+ </math>锛屾眰<i>伪</i>鐨勫��.锛堢粨鏋滅簿纭埌0.000 1锛�
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 鍥犱负<math display="0">
+ <mi>伪</mi>
+ <mo>鈭�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">[</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>,</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">]</mo>
+ </mrow>
+ </math>锛屾墍浠�<i>伪</i>鍦�<i>y</i>=sin <i>伪</i>鐨勪竴涓崟璋冨尯闂村唴锛岃繖鏃朵娇sin
+ <i>伪</i>=0.943 7鐨勮<i>伪</i>鐨勫�兼槸鍞竴鐨�.
+ </p>
+ <p>
+ 鍏堝皢绉戝璁＄畻鍣ㄧ殑绮剧‘搴﹁缃负0.000
+ 1锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓哄姬搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸夐敭锛�
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0214-4.jpg" /></p>
+ <p>缁撴灉鏄剧ず锛�</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0214-5.jpg" /></p>
+ <p>鎵�浠ャ��<i>伪</i>鈮�1.233 6.</p>
+ <p>
+ <span class="zt-ls"><b>渚�2</b></span>銆�宸茬煡cos <i>伪</i>=0.694
+ 3锛�0掳鈮�<i>伪</i>鈮�180掳锛屾眰<i>伪</i>鐨勫��.锛堢粨鏋滅簿纭埌0.000 1锛�
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span>銆�鍥犱负0掳鈮�<i>伪</i>鈮�180掳锛屾墍浠�<i>伪</i>鍦�<i>y</i>=cos
+ <i>伪</i>鐨勪竴涓崟璋冨尯闂村唴锛岃繖鏃朵娇cos <i>伪</i>=0.694
+ 3鐨勮<i>伪</i>鐨勫�兼槸鍞竴鐨�.
+ </p>
+ </div>
</div>
</div>
<!-- 204 -->
@@ -689,7 +8896,85 @@
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>
+ 鍏堝皢绉戝璁＄畻鍣ㄧ殑绮剧‘搴﹁缃负0.000
+ 1锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓鸿搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸夐敭锛�
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0215-1.jpg" /></p>
+ <p>缁撴灉鏄剧ず锛�</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0215-2.jpg" /></p>
+ <p>鎵�浠�<i>伪</i>鈮�46.028 5掳.</p>
+ <p>
+ 娉ㄦ剰锛氬簲褰撳尯鍒嗘墍缁欐潯浠朵腑瑙掔殑鍗曚綅鏄搴﹁繕鏄姬搴�.濡傛灉鏄搴︼紝璁＄畻鏃跺簲鐢ㄨ搴﹁绠楁ā寮忥紱
+ 濡傛灉鏄姬搴︼紝璁＄畻鏃跺簲鐢ㄥ姬搴﹁绠楁ā寮�.
+ </p>
+ <p>
+ <span class="zt-ls"><b>渚�3</b></span>銆�宸茬煡tan <i>伪</i>=-2.747 0锛�<math display="0">
+ <mi>伪</mi>
+ <mo>鈭�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>,</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛屾眰<i>伪</i>鐨勫��.锛堢粨鏋滅簿纭埌0.000 1锛�
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 鍥犱负<math display="0">
+ <mi>伪</mi>
+ <mo>鈭�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>,</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛屾墍浠�<i>伪</i>鍦�<i>y</i>=tan <i>伪</i>鐨勪竴涓崟璋冨尯闂村唴锛岃繖鏃朵娇tan
+ <i>伪</i>=-2.747 0鐨勮<i>伪</i>鐨勫�兼槸鍞竴鐨�.
+ </p>
+ <p>
+ 鍏堝皢绉戝璁＄畻鍣ㄧ殑绮剧‘搴﹁缃负0.000
+ 1锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓哄姬搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸夐敭锛�
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0215-5.jpg" /></p>
+ <p>缁撴灉鏄剧ず锛�</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0215-6.jpg" /></p>
+ <p>鎵�浠ャ��<i>伪</i>鈮�-1.221 7.</p>
+ <p>
+ <span class="zt-ls"><b>渚�4</b></span>銆�宸茬煡sin <i>伪</i>=-0.857
+ 2锛�<i>伪</i>鈭堬蓟0锛�2蟺锛斤紝姹�<i>伪</i>鐨勫��.锛堢粨鏋滅簿纭埌0.000 1锛�
+ </p>
+ <p class="block">
+ <span class="zt-ls2"><b>鍒嗘瀽</b></span>銆�鍥犱负sin <i>伪</i>=-0.857
+ 2锛�0锛屽湪锛�0锛�2蟺锛借寖鍥村唴鏈変袱涓�<i>伪</i>鍊兼弧瓒虫潯浠讹紝瀹冧滑鍒嗗埆浣嶄簬绗笁璞￠檺鍜岀鍥涜薄闄愶紝鍗�<i>伪</i>鍦蓟蟺锛�2蟺锛借寖鍥村唴.鍙敤绉戝璁＄畻鍣ㄥ厛姹傚嚭sin
+ <i>伪</i>=0.857 2鎵�瀵瑰簲鐨勯攼瑙掞紝鍐嶅埄鐢ㄨ瀵煎叕寮忔眰鍑烘墍姹傜殑瑙�.
+ </p>
+ <p>
+ <span class="zt-ls"><b>瑙�</b></span> 鍏堝皢绉戝璁＄畻鍣ㄧ殑绮剧‘搴﹁缃负0.000
+ 1锛屽啀灏嗙瀛﹁绠楀櫒璁剧疆涓哄姬搴﹁绠楁ā寮忥紝鐒跺悗渚濇鎸夐敭锛�
+ </p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0215-7.jpg" /></p>
+ <p>缁撴灉鏄剧ず锛�</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0215-8.jpg" /></p>
+ </div>
</div>
</div>
@@ -705,7 +8990,132 @@
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>鍗�</p>
+ <p class="center">sin 1.029 8鈮�0.857 2.</p>
+ <p>鍥犱负</p>
+ <p class="center">sin锛埾�+1.029 8锛�=-sin 1.029 8鈮�-0.857 2锛�</p>
+ <p>鎵�浠ョ鍚堟潯浠剁殑绗笁璞￠檺瑙掓槸蟺+1.029 8鈮�4.171 4.</p>
+ <p>鍥犱负</p>
+ <p class="center">sin锛�2蟺-1.029 8锛�=-sin 1.029 8鈮�-0.857 2锛�</p>
+ <p>鎵�浠ョ鍚堟潯浠剁殑绗洓璞￠檺瑙掓槸2蟺-1.029 8鈮�5.253 4.</p>
+ <p>
+ 鎵�浠ユ弧瓒硈in <i>伪</i>=-0.857
+ 2锛�<i>伪</i>鈭堬蓟0锛�2蟺锛界殑瑙�<i>伪</i>鐨勯泦鍚堜负{4.171 4锛�5.253 4}.
+ </p>
+ <p class="left"><img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /></p>
+ <div class="bj">
+ <p>鍊熷姪绉戝璁＄畻鍣紝姹傚嚭涓嬪垪鎸囧畾鑼冨洿鍐呯殑瑙�.锛堢粨鏋滅簿纭埌0.000 1锛�</p>
+ <p>
+ 1.宸茬煡<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>尾</mi>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mn>7</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mn>0</mn>
+ </math>锛�<i>尾</i>鈭堬蓟0锛屜�锛斤紝鍒�<i>尾</i>鐨勫�间负____.
+ </p>
+ <p>
+ 2.宸茬煡tan<i>纬</i>=-0.234 5锛�-90掳锛�<i>纬</i>锛�90掳锛屽垯<i>纬</i>鐨勫�间负____.
+ </p>
+ <p>
+ 3.宸茬煡sin <i>伪</i>=0.973 4锛�0掳鈮�<i>伪</i>鈮�360掳锛屽垯<i>伪</i>鐨勫�间负____.
+ </p>
+ <p>
+ 4.宸茬煡cos <i>尾</i>=-0.202 8锛�<i>尾</i>鈭堬蓟-蟺锛屜�锛斤紝鍒�<i>尾</i>鐨勫�间负____.
+ </p>
+ </div>
+ <h3 id="c066">涔犻5.8<span class="fontsz2">锛烇紴锛�</span></h3>
+ <div class="bj">
+ <p>
+ <span class="bj-sp"><b>姘村钩涓�</b></span>
+ </p>
+ <p>
+ 1.宸茬煡<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛�<math display="0">
+ <mi>x</mi>
+ <mo>鈭�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">[</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>,</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">]</mo>
+ </mrow>
+ </math>锛屽垯<i>x</i>鐨勫�间负____.
+ </p>
+ <p>
+ 2.宸茬煡<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <msqrt>
+ <mn>2</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛�0掳鈮�<i>x</i>鈮�180掳锛屽垯<i>x</i>鐨勫�间负____.
+ </p>
+ <p>
+ 3.宸茬煡<math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ </math>锛�-90掳锛�<i>x</i>锛�90掳锛屽垯<i>x</i>鐨勫�间负____.
+ </p>
+ <p>
+ 4.鍊熷姪绉戝璁＄畻鍣紝姹傞�傚悎涓嬪垪鍚勫紡涓殑<i>x</i>锛�0鈮�<i>x</i>锛�2蟺锛夌殑鍊肩殑闆嗗悎.锛堢粨鏋滅簿纭埌0.000
+ 1锛�
+ </p>
+ <p>锛�1锛� sin <i>x</i>=0.318 5锛涳紙2锛� cos <i>x</i>=-0.789 0.</p>
+ <p>5.姹傞�傚悎涓嬪垪鍚勫紡涓殑<i>x</i>锛�-蟺鈮�<i>x</i>鈮は�锛夌殑鍊肩殑闆嗗悎.</p>
+ <p>
+ 锛�1锛�
+ <math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛涳紙2锛� cos <i>x</i>=-0.5锛涳紙3锛� tan <i>x</i>=-1.
+ </p>
+ </div>
+ </div>
</div>
</div>
@@ -717,7 +9127,109 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bj">
+
+ <p>
+ <span class="bj-sp"><b>姘村钩浜�</b></span>
+ </p>
+ <p>
+ 1.鍊熷姪绉戝璁＄畻鍣紝姹傞�傚悎涓嬪垪鍚勫紡涓�<i>x</i>鐨勫��.锛堢粨鏋滅簿纭埌0.000 1锛�
+ </p>
+ <p>
+ 锛�1锛�
+ <math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>5</mn>
+ </mfrac>
+ </math>锛�<math display="0">
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mi>蟺</mi>
+ </math>锛涳紙2锛�
+ <math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>4</mn>
+ </mfrac>
+ </math>锛�<math display="0">
+ <mi>蟺</mi>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛�
+ </p>
+ <p>
+ 锛�3锛�
+ <math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>3</mn>
+ </mfrac>
+ </math>锛�<math display="0">
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>2</mn>
+ </mfrac>
+ <mo>锛�</mo>
+ <mi>x</mi>
+ <mo>锛�</mo>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ </math>.
+ </p>
+ <p>
+ 2.姹傛弧瓒�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mn>2</mn>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ </math>鐨勮<i>x</i>锛�0掳鈮�<i>x</i>鈮�180掳锛夌殑鍊肩殑闆嗗悎.
+ </p>
+ <p>
+ 3.鍊熷姪绉戝璁＄畻鍣紝姹傚嚭涓嬮潰鎸囧畾鑼冨洿鍐呯殑瑙�<i>尾</i>鐨勫�肩殑闆嗗悎锛歝os
+ 2<i>尾</i>=-0.690 9锛�0掳鈮�<i>尾</i>鈮�180掳.锛堢粨鏋滅簿纭埌0.000 1锛�
+ </p>
+ </div>
+ </div>
</div>
</div>
@@ -733,7 +9245,33 @@
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+
+ <h2 id="b038">鏁板鍥湴<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span></h2>
+ <p class="center">涓夎瀛﹀湪鎴戝浗鐨勫彂灞�</p>
+ <p>
+ 鎴戝浗寰堟棭灏卞紑濮嬩簡瀵逛笁瑙掔煡璇嗙殑鐮旂┒.鎴戝浗鍙よ�佺殑鏁板涔︾睄銆婂懆楂�绠楃粡銆嬩竴涔︿腑锛岃杞戒簡鍙ゆ椂鍊欎汉浠绠楀湴闈笂涓�鐐瑰埌澶槼璺濈鐨勬柟娉�.榄忔檵鏃舵湡鐨勮憲鍚嶆暟瀛﹀鍒樺窘鍦ㄥ彜浜衡�滈噸宸湳鈥濈殑鍩虹涓婏紝缂栨挵浜嗐�婃捣宀涚畻缁忋�嬩竴涔�.
+ </p>
+ <p>
+ 鏄ョ鏃舵湡鐨勩�婅�冨伐璁般�嬩竴涔︼紝瀵光�滆鈥濆凡鏈夊垵姝ヨ璇嗭紝骞剁敤鈥滃�ㄥ彞鈥濊〃绀鸿搴︾殑澶氬皯锛屽叾涓洿瑙掑彨浣溾�滅煩鈥�.
+ </p>
+ <p>
+ 鍞愭湞寮�鍏冨叚骞磋嚦鍗佸洓骞达紙718鈥�726锛夛紝鍞愪唬鏂囧瀹剁繜鏄欐倝杈句慨鎾般�婂紑鍏冨崰缁忋�嬩竴鐧句簩鍗佸嵎锛屽皢鍗板害鏁板瀹剁紪鍒剁殑涓夎鍑芥暟琛ㄨ浇浜庡叾涓紝杩欐槸浼犲叆鎴戝浗鐨勬渶鏃╃殑涓夎鍑芥暟琛�.
+ </p>
+ <p>
+ 鐢辨垜鍥借憲鍚嶆暟瀛﹀寰愬厜鍚紙1562鈥�1633锛夌瓑浜哄叡鍚岀紪璇戠殑銆婂ぇ娴嬨�嬩簩鍗峰簭瑷�涓锛氣�滃ぇ娴嬭�咃紝娴嬩笁瑙掍箣娉曚篃.鈥濇垜鍥解�滀笁瑙掑鈥濅竴璇嶅嵆鐢辨鑰屾潵.璇ヤ功浠嬬粛浜嗕笁瑙掑嚱鏁板�肩殑閫犺〃鏂规硶鍜屾寮﹀畾鐞嗐�佷綑寮﹀畾鐞嗙瓑.
+ </p>
+ <p>
+ 鏄庢湯娓呭垵鏁板瀹惰枦鍑ょ钁楁湁銆婁笁瑙掔畻娉曘�嬩竴涔︼紝杩欐槸鎴戝浗鏁板瀹惰嚜宸辨挵鍐欑殑绗竴閮ㄤ笁瑙掑钁椾綔.涔︿腑鎵�浠嬬粛鐨勪笁瑙掑鐭ヨ瘑锛岃姣斻�婂ぇ娴嬨�嬨�婃祴閲忓叏涔夈�嬩腑鐨勫唴瀹规洿璇︾粏涓庡畬澶�.
+ </p>
+ <p>
+ 娓呭垵钁楀悕鏁板瀹舵鏂囬紟鐮旂┒涓夎瀛︽暟骞达紝瀵规墍浼犲叆鐨勪笁瑙掑鐭ヨ瘑杩涜浜嗛�氫織鐨勮В閲婏紝骞惰憲鏈夈�婂钩涓夎涓捐銆嬩簲鍗�.鍏跺唴瀹圭敱娴呭叆娣憋紝寰簭娓愯繘锛屾潯鐞嗘竻妤氾紝鏄綋鏃朵互鍙婂悗浜哄涔犱笁瑙掑鐨勪富瑕佹暀绉戜功.
+ </p>
+ <p>
+ 濡傛灉鎯崇煡閬撴洿澶氱殑鍏充簬涓夎瀛﹀湪鎴戝浗鍙戝睍鍘嗙▼涓墍缁忓巻鐨勪汉鍜屼簨锛屼綘鍙互閫氳繃涓嶅悓鐨勯�斿緞锛堝涓婄綉鎼滅储锛夋煡鎵捐祫鏂欙紝鏁寸悊鍑烘洿涓轰赴瀵岀殑鍙叉枡鏉�.瀵规锛屼綘涓嶅Θ涓庡悓瀛﹀悎浣滐紝璇曚竴璇�.
+ </p>
+ <p>鈥斺�旀憳褰曡嚜娌堟枃閫夈�佹潹娓呮缂栬憲鐨勩�婃暟瀛﹀彶璇濊鑳溿�嬩竴涔︼紝寮曠敤鏃舵湁鏀瑰姩</p>
+ </div>
</div>
</div>
@@ -745,7 +9283,178 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h2 id="b039">鍗曞厓灏忕粨<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span></h2>
+ <p class="bj2"><b>瀛︿範瀵煎浘</b></p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0219-1.jpg" /></p>
+ <p class="bj2"><b>瀛︿範鎸囧</b></p>
+ <p>
+ 1.涓庤<i>伪</i>缁堣竟鐩稿悓鐨勮鐨勯泦鍚堬細<i>S</i>={<i>尾</i>|<i>尾</i>=<i>伪</i>+<i>k</i>路2蟺锛�<i>k</i>鈭�<b>Z</b>}.
+ </p>
+ <p>2.寮у害涓庤搴︾殑鎹㈢畻.</p>
+ <math display="block">
+ <mtable columnspacing="1em" rowspacing="4pt">
+ <mtr>
+ <mtd>
+ <mi>蟺</mi>
+ <mo>=</mo>
+ <msup>
+ <mn>180</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>;</mo>
+ <mn>2</mn>
+ <mi>蟺</mi>
+ <mo>=</mo>
+ <msup>
+ <mn>360</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>.</mo>
+ </mtd>
+ </mtr>
+ <mtr>
+ <mtd>
+ <mn>1</mn>
+ <mrow>
+ <mi mathvariant="normal">r</mi>
+ <mi mathvariant="normal">a</mi>
+ <mi mathvariant="normal">d</mi>
+ </mrow>
+ <mo>=</mo>
+ <mfrac>
+ <msup>
+ <mn>180</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mi>蟺</mi>
+ </mfrac>
+ <mo>鈮�</mo>
+ <msup>
+ <mn>57.30</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <msup>
+ <mn>57</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <msup>
+ <mn>18</mn>
+ <mrow>
+ <mi data-mjx-alternate="1" mathvariant="normal">鈥�</mi>
+ </mrow>
+ </msup>
+ <mo>;</mo>
+ <msup>
+ <mn>1</mn>
+ <mrow>
+ <mo>鈭�</mo>
+ </mrow>
+ </msup>
+ <mo>=</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>180</mn>
+ </mfrac>
+ <mrow>
+ <mi mathvariant="normal">r</mi>
+ <mi mathvariant="normal">a</mi>
+ <mi mathvariant="normal">d</mi>
+ </mrow>
+ <mo>鈮�</mo>
+ <mn>0.01745</mn>
+ <mrow>
+ <mi mathvariant="normal">r</mi>
+ <mi mathvariant="normal">a</mi>
+ <mi mathvariant="normal">d</mi>
+ </mrow>
+ <mo>.</mo>
+ </mtd>
+ </mtr>
+ </mtable>
+ </math>
+ <p>
+ 3.寮ч暱鍏紡涓�<i>l</i>=<i>伪r</i>锛屾墖褰㈢殑闈㈢Н鍏紡涓�<math display="0">
+ <mi>S</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>1</mn>
+ <mn>2</mn>
+ </mfrac>
+ <mi>r</mi>
+ <mi>l</mi>
+ </math>.
+ </p>
+ <p>4.浠绘剰瑙掔殑姝ｅ鸡銆佷綑寮﹀拰姝ｅ垏.</p>
+ <p>
+ 鐐�<i>P</i>锛�<i>x</i>锛�<i>y</i>锛夋槸瑙�<i>伪</i>鐨勭粓杈逛笂寮備簬鍘熺偣鐨勪换鎰忎竴鐐癸紝鐐�<i>P</i>鍒板師鐐圭殑璺濈涓�<math display="0">
+ <mi>r</mi>
+ <mo>=</mo>
+ <msqrt>
+ <msup>
+ <mi>x</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo>+</mo>
+ <msup>
+ <mi>y</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ </msqrt>
+ <mo>></mo>
+ <mn>0</mn>
+ </math>锛屽垯<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>y</mi>
+ <mi>r</mi>
+ </mfrac>
+ </math>锛�<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>x</mi>
+ <mi>r</mi>
+ </mfrac>
+ </math>锛�<math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mi>y</mi>
+ <mi>x</mi>
+ </mfrac>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mn>0</mn>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>.
+ </p>
+ </div>
</div>
</div>
<!-- 209 -->
@@ -759,7 +9468,59 @@
<p><span>209</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <p>5.浠绘剰瑙掔殑姝ｅ鸡鍑芥暟銆佷綑寮﹀嚱鏁板拰姝ｅ垏鍑芥暟.</p>
+ <p>姝ｅ鸡鍑芥暟 <i>y</i>=sin <i>x</i>锛�<i>x</i>鈭�<b>R</b>锛�</p>
+ <p>浣欏鸡鍑芥暟 <i>y</i>=cos <i>x</i>锛�<i>x</i>鈭�<b>R</b>锛�</p>
+ <p>
+ 姝ｅ垏鍑芥暟 <i>y</i>=tan <i>x</i>锛�<math display="0">
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mi>k</mi>
+ <mi>蟺</mi>
+ <mo stretchy="false">(</mo>
+ <mi>k</mi>
+ <mo>鈭�</mo>
+ <mrow>
+ <mi mathvariant="bold">Z</mi>
+ </mrow>
+ <mo stretchy="false">)</mo>
+ </math>.
+ </p>
+ <p>6.鍚岃涓夎鍑芥暟鍩烘湰鍏崇郴寮�.</p>
+ <p>
+ 锛�1锛� 骞虫柟鍏崇郴锛歴in <sup>2</sup> <i>伪</i>+cos <sup>2</sup> <i>伪</i>=1锛�
+ </p>
+ <p>
+ 锛�2锛� 鍟嗘暟鍏崇郴锛�<math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ </mfrac>
+ </math>.
+ </p>
+ <p>7.璇卞鍏紡琛紙<i>k</i>鈭�<b>Z</b>锛�.</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0220-3.jpg" /></p>
+ <p>8.姝ｅ鸡鍑芥暟銆佷綑寮﹀嚱鏁扮殑鍥惧儚鍜屾�ц川.</p>
+ <p class="center"><img class="img-c" alt="" src="../../assets/images/0220-4.jpg" /></p>
+ </div>
</div>
</div>
<!-- 210 -->
@@ -771,7 +9532,267 @@
<li>鏁板.鍩虹妯″潡</li>
<li>涓婂唽</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <h2 id="b040">鍗曞厓妫�娴�<span class="fontsz1">锛烇紴锛烇紴锛烇紴锛烇紴</span></h2>
+ <div class="bj">
+ <p>
+ <span class="bj-sp"><b>姘村钩涓�</b></span>
+ </p>
+ <p>1.閫夋嫨棰�.</p>
+ <p>锛�1锛� 涓嬪垪姝ｇ‘鐨勬槸锛堛��锛�.</p>
+ <p>
+ A.<math display="0">
+ <mn>15</mn>
+ <mrow>
+ <mo>掳</mo>
+ </mrow>
+ <mo>=</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>11</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ B.<math display="0">
+ <mn>1200</mn>
+ <mrow>
+ <mo>掳</mo>
+ </mrow>
+ <mo>=</mo>
+ <mfrac>
+ <mrow>
+ <mn>21</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ C.<math display="0">
+ <mfrac>
+ <mrow>
+ <mn>5</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>6</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mn>150</mn>
+ <mrow>
+ <mo>掳</mo>
+ </mrow>
+ </math>
+ </p>
+ <p>
+ D.<math display="0">
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>7</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>8</mn>
+ </mfrac>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mn>220</mn>
+ <mrow>
+ <mo>掳</mo>
+ </mrow>
+ </math>
+ </p>
+ <p>锛�2锛� 涓嬪垪姝ｇ‘鐨勬槸锛堛��锛�.</p>
+ <p>A.cos锛�-60掳锛夛紲0</p>
+ <p>B.tan 320掳锛�0</p>
+ <p>
+ C.<math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>5</mn>
+ </mfrac>
+ <mo>锛�</mo>
+ <mn>0</mn>
+ </math>
+ </p>
+ <p>D.cos 330掳锛�0</p>
+ <p>锛�3锛� 涓嬪垪姝ｇ‘鐨勬槸锛堛��锛�.</p>
+ <p>
+ A.<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>7</mn>
+ </mfrac>
+ <mo><</mo>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>5</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>7</mn>
+ </mfrac>
+ </math>
+ </p>
+ <p>
+ B.<math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>3</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>5</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>></mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>4</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>5</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>
+ </p>
+ <p>
+ C.<math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>9</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>7</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>></mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>9</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>8</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>
+ </p>
+ <p>D.sin 6锛瀞in 7</p>
+ <p>
+ 2.锛�1锛� 鍦�0掳锝�360掳鑼冨洿鍐咃紝涓�1
+ 458掳瑙掔粓杈圭浉鍚岀殑瑙掓槸____锛屽畠鏄____璞￠檺瑙掞紱
+ </p>
+ <p>
+ 锛�2锛� 鍦�0掳锝�360掳鑼冨洿鍐咃紝涓�-330掳瑙掔粓杈圭浉鍚岀殑瑙掓槸____锛屽畠鏄____璞￠檺瑙�.
+ </p>
+ <p>3.璁＄畻.</p>
+ <p>
+ 锛�1锛�
+ <math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mfrac>
+ <mrow>
+ <mn>25</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>3</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>17</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>4</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>+</mo>
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <mrow>
+ <mn>23</mn>
+ <mi>蟺</mi>
+ </mrow>
+ <mn>6</mn>
+ </mfrac>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ <mo>=</mo>
+ </math>______锛�
+ </p>
+ <p>
+ 锛�2锛� sin <sup>2</sup>150掳+2sin 390掳+cos
+ <sup>2</sup>锛�-120掳锛�+tan锛�-60掳锛�= 锛�
+ </p>
+ <p>锛�3锛� tan1+cos 2+sin 3=______.锛堜娇鐢ㄧ瀛﹁绠楀櫒锛�</p>
+ <p>
+ 4.宸茬煡瑙�<i>伪</i>鐨勭粓杈逛笂鏈変竴鐐� <i>P</i>锛�5锛�-12锛夛紝姹� sin
+ <i>伪</i>锛宑os <i>伪</i>锛宼an <i>伪</i>鐨勫��.
+ </p>
+ <p>
+ 5.宸茬煡<i>伪</i>涓洪攼瑙掞紝涓�<math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>=</mo>
+ <mfrac>
+ <mn>3</mn>
+ <mn>5</mn>
+ </mfrac>
+ </math>锛屾眰cos <i>伪</i>锛宼an <i>伪</i>鐨勫��.
+ </p>
+ <p>
+ 6.宸茬煡 <i>tan胃</i>=3锛屼笖<i>胃</i>涓虹涓夎薄闄愯锛屾眰sin <i>胃</i>锛宑os
+ <i>胃</i>鐨勫��.
+ </p>
+ </div>
+ </div>
</div>
</div>
<!-- 211 -->
@@ -785,7 +9806,244 @@
<p><span>211</span></p>
</li>
</ul>
- <div class="padding-116"></div>
+ <div class="padding-116">
+ <div class="bj">
+ <p>7.宸茬煡tan <i>伪</i>=2锛屾眰涓嬪垪鍚勫紡鐨勫��.</p>
+ <p>
+ 锛�1锛�
+ <math display="0">
+ <mfrac>
+ <mrow>
+ <mn>2</mn>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>+</mo>
+ <mn>3</mn>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ <mrow>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>+</mo>
+ <mn>2</mn>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ </mfrac>
+ </math>锛�
+ </p>
+ <p>
+ 锛�2锛�
+ <math display="0">
+ <mfrac>
+ <mrow>
+ <msup>
+ <mi>sin</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>+</mo>
+ <mn>3</mn>
+ <msup>
+ <mi>cos</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ <mrow>
+ <mn>3</mn>
+ <msup>
+ <mi>sin</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ <msup>
+ <mi>cos</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ </mfrac>
+ </math>.
+ </p>
+ <p>8.姹備娇涓嬪垪鍑芥暟鍙栧緱鏈�澶у�笺�佹渶灏忓�兼椂<i>x</i>鐨勯泦鍚�.</p>
+ <p>锛�1锛� <i>y</i>=-1+2sin <i>x</i>锛�</p>
+ <p>
+ 锛�2锛�
+ <math display="0">
+ <mi>y</mi>
+ <mo>=</mo>
+ <mn>1</mn>
+ <mo>+</mo>
+ <msqrt>
+ <mn>2</mn>
+ </msqrt>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ </math>.
+ </p>
+ <p>
+ <span class="bj-sp"><b>姘村钩浜�</b></span>
+ </p>
+ <p>
+ 1.鍦ㄥ崐寰勪负10 cm
+ 鐨勫渾涓紝60掳鐨勫渾蹇冭鎵�瀵圭殑寮ч暱鏄痏___锛屽搴旂殑鎵囧舰闈㈢Н鏄痏___.
+ </p>
+ <p>2.姹備笅鍒楁寚瀹氳寖鍥村唴鐨勮<i>x</i>鐨勯泦鍚�.</p>
+ <p>
+ 锛�1锛�
+ <math display="0">
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mo>鈭�</mo>
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛�<i>x</i>鈭�-蟺锛屜�锛屽垯<i>x</i>=____锛�
+ </p>
+ <p>
+ 锛�2锛�
+ <math display="0">
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <msqrt>
+ <mn>2</mn>
+ </msqrt>
+ <mn>2</mn>
+ </mfrac>
+ </math>锛� <i>x</i>鈭�0锛�2蟺锛屽垯<i>x</i>=____锛�
+ </p>
+ <p>
+ 锛�3锛�
+ <math display="0">
+ <mi>tan</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>x</mi>
+ <mo>=</mo>
+ <mfrac>
+ <msqrt>
+ <mn>3</mn>
+ </msqrt>
+ <mn>3</mn>
+ </mfrac>
+ <mrow data-mjx-texclass="INNER">
+ <mo data-mjx-texclass="OPEN">(</mo>
+ <mi>x</mi>
+ <mo>鈮�</mo>
+ <mfrac>
+ <mi>蟺</mi>
+ <mn>2</mn>
+ </mfrac>
+ <mo>+</mo>
+ <mi>k</mi>
+ <mi>蟺</mi>
+ <mo>,</mo>
+ <mi>k</mi>
+ <mo>鈭�</mo>
+ <mrow>
+ <mi mathvariant="bold">Z</mi>
+ </mrow>
+ <mo data-mjx-texclass="CLOSE">)</mo>
+ </mrow>
+ </math>锛� <i>x</i>鈭�-蟺锛屜�锛屽垯<i>x</i>=____.
+ </p>
+ <p>
+ 3.宸茬煡<i>m</i>锛�0锛岃<i>伪</i>鐨勭粓杈圭粡杩囩偣<i>P</i>锛�-3<i>m</i>锛�4<i>m</i>锛夛紝姹俿in
+ <i>伪</i>+2cos <i>伪</i>鐨勫��.
+ </p>
+ <p>4.宸茬煡tan锛埾�-<i>伪</i>锛�=3锛屾眰涓嬪垪鍚勫紡鐨勫��.</p>
+ <p>锛�1锛� 2sin <i>伪</i>路cos <i>伪</i>锛�</p>
+ <p>
+ 锛�2锛�
+ <math display="0">
+ <mfrac>
+ <mrow>
+ <msup>
+ <mi>sin</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>鈭�</mo>
+ <mn>2</mn>
+ <mi>sin</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>鈰�</mo>
+ <mi>cos</mi>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>鈭�</mo>
+ <msup>
+ <mi>cos</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ </mrow>
+ <mrow>
+ <mn>4</mn>
+ <msup>
+ <mi>cos</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>鈭�</mo>
+ <mn>3</mn>
+ <msup>
+ <mi>sin</mi>
+ <mrow>
+ <mn>2</mn>
+ </mrow>
+ </msup>
+ <mo data-mjx-texclass="NONE">鈦�</mo>
+ <mi>伪</mi>
+ <mo>+</mo>
+ <mn>1</mn>
+ </mrow>
+ </mfrac>
+ </math>.
+ </p>
+ <p>5.鐢ㄢ�滀簲鐐规硶鈥濈敾鍑轰笅鍒楀嚱鏁扮殑鍥惧儚锛屽苟鍐欏嚭瀹冧滑鐨勫懆鏈�.</p>
+ <p>锛�1锛� <i>y</i>=-5+2sin <i>x</i>锛�</p>
+ <p>锛�2锛� <i>y</i>=5-cos <i>x</i>.</p>
+ </div>
+ </div>
</div>
</div>
diff --git a/src/books/mathBook/view/components/header.vue b/src/books/mathBook/view/components/header.vue
index cad201c..9f8d1e8 100644
--- a/src/books/mathBook/view/components/header.vue
+++ b/src/books/mathBook/view/components/header.vue
@@ -76,30 +76,17 @@
<div class="page-box" page="4">
<div v-if="showPageList.indexOf(4) > -1">
<div class="padding-116" style="padding-top:50px ;">
-
<div class="publishTitle">
-
-
-
-
-
<div>
<div class="indentation">鈥滃崄鍥涗簲鈥� 鑱屼笟鏁欒偛鍥藉瑙勫垝鏁欐潗</div>
<div class="indentation">(涓瓑鑱屼笟瀛︽牎鍏叡鍩虹璇剧▼鏁欐潗)鍑虹増璇存槑</div>
<div class="indentation" style="color: #000; font-size: 16px; letter-spacing: 10px; ">
....................................</div>
</div>
-
-
<div style="margin-left: 15px;">
>>>>
</div>
</div>
-
-
-
-
-
<p style="margin-top: 30px; line-height: 30px; ">
涓鸿疮褰诲厷鐨勪簩鍗佸ぇ绮剧锛岃惤瀹炪�婁腑鍗庝汉姘戝叡鍜屽浗鑱屼笟鏁欒偛娉曘�嬭瀹氾紝娣卞寲鑱屼笟鏁欒偛鈥滀笁鏁欌�濇敼闈╋紝鍏ㄩ潰鎻愰珮鎶�鏈妧鑳藉瀷浜烘墠鍩瑰吇璐ㄩ噺锛屾寜鐓с�婅亴涓氶櫌鏍℃暀鏉愮鐞嗗姙娉曘�嬨�婁腑绛夎亴涓氬鏍″叕鍏卞熀纭�璇剧▼鏂规銆嬪拰鏈夊叧璇剧▼鏍囧噯鐨勮姹傦紝鍦ㄥ浗瀹舵暀鏉愬鍛樹細鐨勭粺绛归瀵间笅锛屾牴鎹暀鑲查儴鑱屼笟鏁欒偛涓庢垚浜烘暀鑲插徃瀹夋帓锛屾暀鑲查儴鑱屼笟鏁欒偛鍙戝睍涓績缁勭粐鏈夊叧鍑虹増鍗曚綅瀹屾垚瀵规暟瀛︺�佽嫳璇�佷俊鎭妧鏈�佷綋鑲蹭笌鍋ュ悍銆佽壓鏈�佺墿鐞嗐�佸寲瀛�7闂ㄥ叕鍏卞熀纭�璇剧▼鍥藉瑙勫垝鏂版暀鏉愪慨璁㈠伐浣滐紝淇鏁欐潗缁忎笓瀹跺鍛樹細瀹℃牳閫氳繃锛岀粺涓�鏍囨敞鈥滃崄鍥涗簲鈥濊亴涓氭暀鑲插浗瀹惰鍒掓暀鏉愶紙涓瓑鑱屼笟瀛︽牎鍏叡鍩虹璇剧▼鏁欐潗锛夈��
</p>
@@ -109,7 +96,6 @@
<p style=" line-height: 30px; ">
鍚勫湴瑕佹寚瀵煎尯鍩熷唴涓瓑鑱屼笟瀛︽牎寮�榻愬紑瓒冲紑濂藉叕鍏卞熀纭�璇剧▼锛岃鐪熻疮褰诲疄鏂姐�婅亴涓氶櫌鏍℃暀鏉愮鐞嗗姙娉曘�嬶紝纭繚閫夌敤鏈瀹℃牳閫氳繃鐨勫浗瀹惰鍒掍慨璁㈡暀鏉愩�傚浣跨敤杩囩▼涓彂鐜伴棶棰樿鍙婃椂鍙嶉缁欏嚭鐗堝崟浣嶏紝浠ユ帹鍔ㄧ紪鍐欍�佸嚭鐗堝崟浣嶇簿鐩婃眰绮撅紝涓嶆柇鎻愰珮鏁欐潗璐ㄩ噺銆�
</p>
-
<div class="information">
<p>涓瓑鑱屼笟瀛︽牎鍏叡鍩虹璇剧▼鏁欐潗寤鸿涓撳濮斿憳浼�</p>
<p>2023骞�6鏈�</p>
@@ -131,27 +117,19 @@
>>>>>>>>
</div>
</div>
-
<p>
涓瓑鑱屼笟瀛︽牎鏁板璇剧▼鏄腑绛夎亴涓氬鏍″悇涓撲笟瀛︾敓蹇呬慨鐨勫叕鍏卞熀纭�璇剧▼锛屾壙杞界潃钀藉疄绔嬪痉鏍戜汉鏍规湰浠诲姟銆佸彂灞曠礌璐ㄦ暀鑲茬殑鍔熻兘锛屽叿鏈夊熀纭�鎬с�佸彂灞曟�с�佸簲鐢ㄦ�у拰鑱屼笟鎬х瓑鐗圭偣銆傛湰濂楁暀鏉愭槸鈥滃崄鍥涗簲鈥濊亴涓氭暀鑲插浗瀹惰鍒掓暀鏉愶紙涓瓑鑱屼笟瀛︽牎鍏叡鍩虹璇剧▼鏁欐潗锛夛紝渚濇嵁銆婁腑绛夎亴涓氬鏍″叕鍏卞熀纭�璇剧▼鏂规銆嬪拰銆婁腑绛夎亴涓氬鏍℃暟瀛﹁绋嬫爣鍑嗐�嬶紙浠ヤ笅绠�绉扳�滄柊璇炬爣鈥濓級缂栧啓銆�
</p>
-
-
<div class="zt-ls1" style="margin-top: 30px;">
-
涓�銆佹湰濂楁暀鏉愮殑涓昏鍐呭
</div>
-
<p>
鏈鏁欐潗娉ㄩ噸鎻愬崌瀛︾敓鏁板杩愮畻銆佺洿瑙傛兂璞°�侀�昏緫鎺ㄧ悊銆佹暟瀛︽娊璞°�佹暟鎹垎鏋愬拰鏁板寤烘ā鍏ぇ鏁板瀛︾鏍稿績绱犲吇锛涙敞閲嶆彁楂樺鐢熷涔犳暟瀛︾殑鍏磋叮锛屽寮哄鐢熷濂芥暟瀛︾殑涓诲姩鎬у拰鑷俊蹇冿紝浣垮鐢熷吇鎴愮悊鎬ф�濈淮銆佹暍浜庤川鐤戙�佸杽浜庢�濊�冪殑绉戝绮剧鍜岀簿鐩婃眰绮剧殑宸ュ尃绮剧锛屽姞娣卞鏁板鐨勭瀛︿环鍊笺�佸簲鐢ㄤ环鍊笺�佹枃鍖栦环鍊煎拰瀹＄編浠峰�肩殑璁よ瘑锛涙敞閲嶄緷鎹腑鑱屽鐢熺殑瀹為檯鎯呭喌锛屼负涓嶅悓闇�姹傜殑瀛︾敓鎻愪緵鏈潵鍙戝睍鎵�闇�鐨勬暟瀛︾煡璇嗭紝骞跺煿鍏诲叾鐩稿簲鐨勬暟瀛﹁兘鍔涖��
</p>
-
<p>鏈鏁欐潗鍐呭浣撶郴濡備笅銆�</p>
-
<p class="center openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0004-1.jpg" />
+ <img class="img-b" alt="" src="../../assets/images/0004-1.jpg" />
</p>
- <!-- <p class="img">鍥�3-16</p> -->
</div>
</div>
</div>
@@ -160,9 +138,8 @@
<div v-if="showPageList.indexOf(6) > -1">
<div class="padding-116" style="padding-top:50px ;">
<p class="center openImgBox">
- <img class="img-c" alt="" src="../../assets/imgs/0005-1.jpg" />
+ <img class="img-d" alt="" src="../../assets/images/0005-1.jpg" />
</p>
-
<div class="zt-ls1" style="margin-top: 30px;">
浜屻�佹湰濂楁暀鏉愮殑涓昏鐗硅壊
</div>
@@ -179,25 +156,18 @@
<div class="textIndentation">
鏈鏁欐潗鍏呭垎鑰冭檻涓瓑鑱屼笟鏁欒偛鐨勬暀瀛﹁寰嬨�佷竴绾胯亴涓氬鏍″鐢熺殑瀹為檯鎯呭喌鍜屽鐢熸湭鏉ヨ亴涓氬彂灞曢渶姹傦紝娉ㄩ噸鍒涜璐磋繎瀛︾敓鐢熸椿銆佹湭鏉ヨ亴鍦虹殑鏁板鎯呭锛岀敓鍔ㄨ嚜鐒跺湴寮曞叆銆佸憟鐜般�佸睍寮�鏁板鐭ヨ瘑鐨勫涔犮�傛暟瀛︽儏澧冨婧愯嚜鏃ュ父鐢熸椿銆佺ぞ浼氱敓娲绘垨鐢熶骇瀹炶返妗堜緥锛屾敞閲嶅湪妗堜緥鎯呭涓彁鍑烘暟瀛﹂棶棰橈紝浣垮鐢熷浼氳繍鐢ㄦ暟瀛︾煡璇嗗拰鏁板鎬濈淮瑙ｅ喅瀹為檯闂锛屾彁鍗囧鐢熺殑鏁板杩愮敤鑳藉姏銆�
</div>
-
-
-
<p class="zt-ls1" style="margin-top: 30px;">
路鏂扮煡鐢熸垚鏃х煡杩佺Щ锛屾湁鏈烘瀯寤烘暟瀛︽暣浣�
</p>
<div class="textIndentation">
鏈鏁欐潗娉ㄩ噸鏁板鏂扮煡璇嗙殑鑷劧鐢熸垚锛岃缃�滅煡璇嗗洖椤锯�濃�滈棶棰樻彁鍑�/瑙傚療鎬濊�冣�濃�滃垎鏋愮悊瑙ｂ�濃�滄娊璞℃鎷�濈瓑鏍忕洰锛岄�氳繃灞傚眰閫掕繘鐨勭鍚堥�昏緫瑙勫緥鐨勭粨鏋勪綋渚嬶紝璁╁鐢熶簡瑙ｆ暟瀛︾煡璇嗙殑鏉ラ緳鍘昏剦銆傛暀鏉愭敞鎰忓悇閮ㄥ垎鐭ヨ瘑涔嬮棿鐨勫唴鍦ㄨ仈绯伙紝閫氳繃绫绘瘮銆佽仈鎯炽�佺煡璇嗙殑杩佺Щ鍜屽簲鐢ㄧ瓑鎵嬫锛屼娇瀛︾敓浣撲細鐭ヨ瘑涔嬮棿鐨勬湁鏈鸿仈绯伙紝鎰熷彈鏁板鐨勬暣浣撴�э紝姝ｇ‘璁よ瘑鏁板鐨勬湰璐ㄣ��
</div>
-
-
-
<p class="zt-ls1" style="margin-top: 30px;">
路灏婇噸瀛︾敓涓讳綋鍦颁綅锛屼綋鐜板垎灞傛暀瀛︾悊蹇�
</p>
<div class="textIndentation">
鏈鏁欐潗娉ㄩ噸鏁板鏂扮煡璇嗙殑鑷劧鐢熸垚锛岃缃�滅煡璇嗗洖椤锯�濃�滈棶棰樻彁鍑�/鏈鏁欐潗鍧氭寔浠ュ鐢熶负鏈紝灏婇噸瀛︾敓涓讳綋鍦颁綅锛屽叧娉ㄥ鐢熺殑涓綋宸紓銆傚湪渚嬮閫夋嫨銆佷範棰樼紪鎺掔瓑鏂归潰鍧囧樊鍒寲璁剧疆闅惧害锛岀獊鍑哄涓氭按骞宠瘎浠疯绱狅紝浣撶幇鍒嗗眰鏁欏鐨勭悊蹇碉紝鏃㈤�傚簲涓嶅悓鍦板尯銆佷笉鍚屼笓涓氱被鍒�佷笉鍚屾暟瀛﹀熀纭�瀛︾敓鐨勭壒鐐癸紝鍙堝吋椤惧鐢熷崌瀛﹀拰灏变笟鐨勯渶瑕併��
</div>
-
<div class="zt-ls1" style="margin-top: 30px;">
涓夈�佹湰濂楁暀鏉愮殑閰嶅璧勬簮
</div>
@@ -209,11 +179,9 @@
<div class="page-box" page="7">
<div v-if="showPageList.indexOf(7) > -1">
<div class="padding-116" style="padding-top:50px ;">
-
<p>
鈥滀含甯圗璇锯�濅负鏈鏁欐潗閰嶅璧勬簮鏈嶅姟骞冲彴锛屼负鏁欏笀寮�灞曞鏍峰寲鏁欏銆佸鐢熷紑灞曚釜鎬у寲鑷富瀛︿範鎻愪緵鍏ㄦ柟浣嶇殑鏀寔鍜屾湇鍔°�傛湰濂楁暀鏉愰厤澶囦赴瀵岀殑鏁板瓧璧勬簮锛岃祫婧愮被鍨嬪寘鎷暀瀛﹁浠躲�佸悓姝ユ暀妗堛�侀噸闅剧偣鐭ヨ瘑璁茶В瑙嗛銆侀噸闅剧偣涔犻璁茶В瑙嗛浠ュ強鍦ㄧ嚎浜や簰涔犻绛夈�傛垜浠皢缁х画寮�灞曞叾浠栦紭璐ㄦ暟瀛楁暀瀛﹁祫婧愮殑鐮斿彂鍜屽缓璁撅紝涓嶆柇鏇存柊鍜屼赴瀵岀浉鍏冲唴瀹癸紝鍋氬埌涓庢椂淇辫繘銆傚笀鐢熷彲璁块棶浜笀E璇惧畼鏂圭綉绔欙細https锛氣垾jsek.bnuic.com锛岀櫥褰曞悗鎼滅储涔﹀悕杩涜鏌ョ湅銆�
</p>
-
<div class="zt-ls1" style="margin-top: 30px;">
鍥涖�佹湰鏁欐潗鐨勭紪鍐欏洟闃熷強鍒嗗伐
</div>
@@ -224,7 +192,6 @@
闄や笂杩颁富瑕佺紪鑰呭锛屽弬鍔犳湰鏁欐潗璁ㄨ銆佷慨鏀瑰拰鐩稿叧鏁欏璧勬簮鍒朵綔鐨勮繕鏈夛紙浠ュ姘忕瑪鐢讳负搴忥級锛氱帇绔嬩笢锛堝寳浜笀鑼冨ぇ瀛︼級锛屽垬闆烽浄锛堥噸搴嗗競鍖楃鑱屼笟鏁欒偛涓績锛夛紝涓ュ嚡锛堜笂娴峰競鏉愭枡宸ョ▼瀛︽牎锛夛紝寮犻噾鐜诧紙閲嶅簡甯傝偛鎵嶈亴涓氭暀鑲蹭腑蹇冿級锛屾灄闆锛堜笂娴峰競鍟嗕笟浼氳瀛︽牎锛夛紝鏌村厜绁ワ紙缁ラ槼鍘夸腑绛夎亴涓氭妧鏈鏍★級锛屽緪姘告槍锛堥暱鍨ｈ亴涓氫腑绛変笓涓氬鏍★級锛岄珮鏅撳叺锛堝寳閮ㄦ咕鑱屼笟鎶�鏈鏍★級锛屾浘鍠勯箯锛堟澀宸炲競鐢靛瓙淇℃伅鑱屼笟瀛︽牎锛夈�傚悓鏃讹紝鍦ㄦ暀鏉愬墠鏈熺殑璇曟暀璇曠敤杩囩▼涓紝鎴戜滑鏀跺埌浜嗗緢澶氱渷甯傛暟瀛︽暀鐮斿憳銆佹暀甯堢殑瀹濊吹鎰忚鍜屽缓璁紝鍦ㄦ涓�骞惰〃绀烘劅璋紒
</p>
<p>鐢变簬鏃堕棿杈冧负浠撲績锛屾暀鏉愰毦鍏嶅瓨鍦ㄤ笉瓒充箣澶勶紝鎴戜滑璇氭伋鍦版湡寰呭悇浣嶈鑰呮彁鍑哄疂璐电殑淇敼鎰忚鍜屽缓璁紙璇峰彂閭欢鑷硑jp@bnupg.com锛夈��</p>
-
</div>
</div>
</div>
diff --git a/src/books/mathBook/view/components/index.vue b/src/books/mathBook/view/components/index.vue
index e4c31fa..04469b0 100644
--- a/src/books/mathBook/view/components/index.vue
+++ b/src/books/mathBook/view/components/index.vue
@@ -13,11 +13,11 @@
</chapterOne>
<chapterTwo v-if="showCatalogList.indexOf(3) > -1" :showPageList="loadPageList" :questionData="questionDataMap">
</chapterTwo>
- <chapterThree v-if="showCatalogList.indexOf(4) > -1" :showPageList="loadPageList">
+ <chapterThree v-if="showCatalogList.indexOf(4) > -1" :showPageList="loadPageList" :questionData="questionDataMap">
</chapterThree>
- <chapterFour v-if="showCatalogList.indexOf(5) > -1" :showPageList="loadPageList">
+ <chapterFour v-if="showCatalogList.indexOf(5) > -1" :showPageList="loadPageList" :questionData="questionDataMap">
</chapterFour>
- <chapterFive v-if="showCatalogList.indexOf(6) > -1" :showPageList="loadPageList">
+ <chapterFive v-if="showCatalogList.indexOf(6) > -1" :showPageList="loadPageList" :questionData="questionDataMap">
</chapterFive>
</div>
@@ -32,7 +32,6 @@
import chapterThree from "./chapter003.vue";
import chapterFour from './chapter004.vue'
import chapterFive from './chapter005.vue'
-// import chapterSix from './chapter006.vue'
import NoteIcon from "@/assets/images/biji.png";
import _ from "lodash";
import Swiper from "swiper/bundle";
@@ -57,7 +56,7 @@
renderSignMap: {},
highlightData: null,
questionId: {},
- collectId: []
+ collectId: [],
};
},
computed: {
@@ -162,8 +161,8 @@
}, 500);
// 娴嬭瘯椤甸潰璺宠浆
- // setTimeout(() => {
- // this.gotoPage(2, 8);
+ setTimeout(() => {
+ this.gotoPage(4, 157);
// // setTimeout(() => {
// // this.renderSign("Highlight", {
// // id: "2ACA9359",
@@ -191,7 +190,7 @@
// // txt: " 杩愬姩绯荤粺鏄敱楠ㄣ�侀杩炵粨鍜岄楠艰倢涓夐儴鍒嗙粍鎴愮殑銆傚叏韬殑楠ㄩ�氳繃楠ㄨ繛缁撶粍鎴愪汉浣撻楠硷紙瑙佸浘1-1锛夈�傞楠兼槸浜轰綋鐨勬敮鏋讹紝鍏锋湁淇濇姢鍐呰剰鍣ㄥ畼銆佷緵鑲岃倝闄勭潃鍜屼綔涓鸿倢鑲夎繍鍔ㄧ殑鏉犳潌绛変綔鐢ㄣ�傚湪绁炵粡绯荤粺鐨勬敮閰嶄笅锛岃倢鑲夋敹缂╃壍鍔ㄦ墍闄勭潃鐨勯缁曠潃鍏宠妭杞姩锛屼娇韬綋浜х敓鍚勭鍔ㄤ綔銆傛墍浠ワ紝杩愬姩绯荤粺鍏锋湁杩愬姩銆佹敮鎸佸拰淇濇姢绛夊姛鑳斤紝骞煎勾鏃舵湡鐨勯楠艰繕鍏锋湁閫犺鍔熻兘銆� ",
// // txtIndex: 57
// // });
- // }, 500);
+ }, 500);
// 鑾峰彇棰樼洰id鍒楄〃
this.getQuestionId();
@@ -709,7 +708,6 @@
pageHeader,
chapterOne,
chapterTwo,
-
chapterThree,
chapterFour,
chapterFive,
@@ -820,11 +818,11 @@
.get(this.config.activeBook.resourceUrl + "/question.json")
.then((res) => {
this.questionId = res.data.data;
-
});
},
// 鑾峰彇棰樼洰鏀惰棌id鍒楄〃
getCollect() {
+ if(!localStorage.getItem(this.config.tokenKey)) return false
this.MG.identity
.getUserKey({
domain: "collectData",
@@ -845,7 +843,6 @@
},
// 鑾峰彇绔犺妭棰樼洰
async getQuestion(num, page) {
- // debugger
let cardList = [
{
catalogName: "鍗曢�夐",
@@ -873,17 +870,10 @@
const res = await axios.get(
this.config.activeBook.resourceUrl + "/question-" + num + ".json"
);
-
console.log(1, res);
-
-
-
- // debugger
if (!res.data) return [];
- // debugger
for (let index = 0; index < res.data.data.length; index++) {
const item = res.data.data[index];
- // debugger
// 鏁板鍏紡鍔犵被鍚嶅幓淇敼鏍峰紡
if (item.type && item.type == 'material') {
if (!item.infoList.length) return false
@@ -894,7 +884,6 @@
if (item.answer) item.answer = item.answer.replace(/\<math/gi, '<math class="examination-math"')
}
item.isCollect = this.collectId.indexOf(item.id) > -1 ? true : false
- // debugger
if (this.questionId[num][page].indexOf(item.id) > -1) {
if (item.type && item.type == "material") {
cardList.push(item);
@@ -913,9 +902,6 @@
}
}
}
-
- console.log(cardList.filter((item) => item.infoList.length > 0));
-
return cardList.filter((item) => item.infoList.length > 0);
}
} else {
@@ -948,9 +934,7 @@
chapterTwo,
chapterThree,
chapterFour,
- chapterFive
-
-
+ chapterFive,
},
};
</script>
diff --git a/src/books/mathBook/view/components/sample.vue b/src/books/mathBook/view/components/sample.vue
index 4782a20..88f47d7 100644
--- a/src/books/mathBook/view/components/sample.vue
+++ b/src/books/mathBook/view/components/sample.vue
@@ -63,10 +63,17 @@
<img class="img-gn" alt="" src="../../assets/images/wttc.jpg" />
</p>
<p>
- 鍑芥暟<i>f</i>锛�<i>x</i>锛�=|<i>x</i>|鍜�<i>g</i>锛�<i>x</i>锛�=<i>x</i><sup>2</sup>鐨勫浘鍍忕殑瀵圭О鎬у浣曪紵
+ 鍑芥暟<i>f</i>锛�<i>x</i>锛�=|<i>x</i>|鍜�<i>g</i>锛�<i>x</i>锛�=<i>x</i
+ ><sup>2</sup>鐨勫浘鍍忕殑瀵圭О鎬у浣曪紵
</p>
- <textarea cols="30" rows="4" v-model="chapterData.txtOne" placeholder="璇疯緭鍏ュ唴瀹�" class="w100 ta-br textarea-text"
- @input="handleChapterData"></textarea>
+ <textarea
+ cols="30"
+ rows="4"
+ v-model="chapterData.txtOne"
+ placeholder="璇疯緭鍏ュ唴瀹�"
+ class="w100 ta-br textarea-text"
+ @input="handleChapterData"
+ ></textarea>
<p class="left">
<img class="img-gn" alt="" src="../../assets/images/tjfx.jpg" />
</p>
@@ -83,7 +90,11 @@
<p class="center">
<img class="img-a" alt="" src="../../assets/images/0100-2.jpg" />
</p>
- <iframe src="https://www.geogebra.org/calculator" frameborder="0" class="iframe-box"></iframe>
+ <iframe
+ src="https://www.geogebra.org/calculator"
+ frameborder="0"
+ class="iframe-box"
+ ></iframe>
<p class="center openImgBox">
<img class="img-c" alt="" src="../../assets/images/0100-3.jpg" />
</p>
@@ -93,8 +104,12 @@
鍙戠幇锛屽嚱鏁�<i>f</i>锛�<i>x</i>锛�=|<i>x</i>|鐨勫畾涔夊煙鏄紙-鈭烇紝+鈭烇級锛屽嚱鏁板浘鍍忓叧浜�<i>y</i>杞村绉�.浠庤〃3-11涓繕鍙戠幇锛屽綋鑷彉閲忓彇涓�瀵圭浉鍙嶆暟鏃讹紝瀵瑰簲鐨勫嚱鏁板�肩浉绛夛紝濡�<i>f</i>锛�-1锛�=<i>f</i>锛�1锛�=1锛�<i>f</i>锛�-2锛�=<i>f</i>锛�2锛�=2锛�<i>f</i>锛�-3锛�=<i>f</i>锛�3锛�=3锛屸�﹀疄闄呬笂锛屽浠绘剰<i>x</i>鈭堬紙-鈭烇紝+鈭烇級锛岄兘鏈�<i>f</i>锛�-<i>x</i>锛�=|-<i>x</i>|=|<i>x</i>|=<i>f</i>锛�<i>x</i>锛夛紝鍗�<i>f</i>锛�-<i>x</i>锛�=<i>f</i>锛�<i>x</i>锛�.
</p>
<p>
- 鍥�3-14锛�2锛�
- 涓紝鍑芥暟<i>g</i>锛�<i>x</i>锛�=<i>x</i><sup>2</sup>鐨勫畾涔夊煙鏄紙-鈭烇紝+鈭烇級锛屽嚱鏁板浘鍍忎篃鍏充簬<i>y</i>杞村绉�.琛�3-12涓紝褰撹嚜鍙橀噺鍙栦竴瀵圭浉鍙嶆暟鏃讹紝瀵瑰簲鐨勫嚱鏁板�肩浉绛夛紝濡�<i>g</i>锛�-1锛�=<i>g</i>锛�1锛�=1锛�<i>g</i>锛�-2锛�=<i>g</i>锛�2锛�=4锛�<i>g</i>锛�-3锛�=<i>g</i>锛�3锛�=9锛屸�﹀疄闄呬笂锛屽浠绘剰<i>x</i>鈭堬紙-鈭烇紝+鈭烇級锛岄兘鏈�<i>g</i>锛�-<i>x</i>锛�=锛�-<i>x</i>锛�<sup>2</sup>=<i>x</i><sup>2</sup>=<i>g</i>锛�<i>x</i>锛夛紝鍗�<i>g</i>锛�-<i>x</i>锛�=<i>g</i>锛�<i>x</i>锛�.
+ 鍥�3-14锛�2锛� 涓紝鍑芥暟<i>g</i>锛�<i>x</i>锛�=<i>x</i
+ ><sup>2</sup
+ >鐨勫畾涔夊煙鏄紙-鈭烇紝+鈭烇級锛屽嚱鏁板浘鍍忎篃鍏充簬<i>y</i>杞村绉�.琛�3-12涓紝褰撹嚜鍙橀噺鍙栦竴瀵圭浉鍙嶆暟鏃讹紝瀵瑰簲鐨勫嚱鏁板�肩浉绛夛紝濡�<i>g</i>锛�-1锛�=<i>g</i>锛�1锛�=1锛�<i>g</i>锛�-2锛�=<i>g</i>锛�2锛�=4锛�<i>g</i>锛�-3锛�=<i>g</i>锛�3锛�=9锛屸�﹀疄闄呬笂锛屽浠绘剰<i>x</i>鈭堬紙-鈭烇紝+鈭烇級锛岄兘鏈�<i>g</i>锛�-<i>x</i>锛�=锛�-<i>x</i>锛�<sup>2</sup>=<i
+ >x</i
+ ><sup>2</sup
+ >=<i>g</i>锛�<i>x</i>锛夛紝鍗�<i>g</i>锛�-<i>x</i>锛�=<i>g</i>锛�<i>x</i>锛�.
</p>
<p>
杩欎袱涓嚱鏁扮殑鍥惧儚閮藉叧浜� <i>y</i> 杞村绉帮紱褰撹嚜鍙橀噺鍙栧畾涔夊煙涓换鎰忎竴瀵圭浉
@@ -115,44 +130,96 @@
<img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" />
</p>
<p>
- 涓�鑸湴锛岃鍑芥暟<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熶负<i>D</i>锛屽鏋滃浜�<span class="u">浠绘剰</span><i>x</i>鈭�<i>D</i>锛�<span
- class="u">閮芥湁</span>-<i>x</i>鈭�<i>D</i>锛屼笖<i>f</i>锛�-<i>x</i>锛�=<i>f</i>锛�<i>x</i>锛夛紝閭ｄ箞鍑芥暟<i>f</i>锛�<i>x</i>锛夊氨鍙綔<b>鍋跺嚱鏁�</b>锛屽鍥�3-15鎵�绀�.<b>鍋跺嚱鏁扮殑鍥惧儚鍏充簬<i>y</i>杞村绉�</b>.
+ 涓�鑸湴锛岃鍑芥暟<i>f</i>锛�<i>x</i>锛夌殑瀹氫箟鍩熶负<i>D</i>锛屽鏋滃浜�<span
+ class="u"
+ >浠绘剰</span
+ ><i>x</i>鈭�<i>D</i>锛�<span class="u">閮芥湁</span
+ >-<i>x</i>鈭�<i>D</i>锛屼笖<i>f</i>锛�-<i>x</i>锛�=<i>f</i>锛�<i>x</i>锛夛紝閭ｄ箞鍑芥暟<i>f</i>锛�<i>x</i>锛夊氨鍙綔<b>鍋跺嚱鏁�</b>锛屽鍥�3-15鎵�绀�.<b>鍋跺嚱鏁扮殑鍥惧儚鍏充簬<i>y</i>杞村绉�</b>.
</p>
<p>
鎴戜滑鍙互鐢卞嚱鏁扮殑鍥惧儚鏄惁鍏充簬<i>y</i>杞村绉版潵鍒ゆ柇鍑芥暟鏄笉鏄伓鍑芥暟.
</p>
<p class="center openImgBox">
- <img class="img-c" alt="" src="../../assets/images/0101-1.jpg" style="width: 40%" />
+ <img
+ class="img-c"
+ alt=""
+ src="../../assets/images/0101-1.jpg"
+ style="width: 40%"
+ />
</p>
<p class="img fl fl-cn ju-cn">
<span>鍥�3-15</span>
- <el-tooltip class="item" effect="dark" :content="chapterData.isCollectImg ? '鐐瑰嚮鍙栨秷' : '鐐瑰嚮鏀惰棌'"
- placement="top-start">
- <img :src="collectResourceList.findIndex(item => item.id == '722FE833') > -1 ? collectCheck : collectImg"
- alt="" class="collect-btn" @click="handleCollect('img')" />
+ <el-tooltip
+ class="item"
+ effect="dark"
+ :content="chapterData.isCollectImg ? '鐐瑰嚮鍙栨秷' : '鐐瑰嚮鏀惰棌'"
+ placement="top-start"
+ >
+ <img
+ :src="
+ collectResourceList.findIndex(
+ (item) => item.id == '722FE833'
+ ) > -1
+ ? collectCheck
+ : collectImg
+ "
+ alt=""
+ class="collect-btn"
+ @click="handleCollect('img')"
+ />
</el-tooltip>
</p>
- <video :src="videoPath" webkit-playsinline="true" x-webkit-airplay="true" playsinline="true"
- x5-video-orientation="h5" x5-video-player-fullscreen="true" x5-playsinline="" controls
- controlslist="nodownload" class="video-border w100"></video>
+ <video
+ :src="videoPath"
+ webkit-playsinline="true"
+ x-webkit-airplay="true"
+ playsinline="true"
+ x5-video-orientation="h5"
+ x5-video-player-fullscreen="true"
+ x5-playsinline=""
+ controls
+ controlslist="nodownload"
+ class="video-border w100"
+ ></video>
<p class="img fl fl-cn ju-cn">
<span>瑙嗛锛氬垽鏁板嚱鏁板鍋舵�х殑鏂规硶鍜屾楠� </span>
- <el-tooltip class="item" effect="dark" :content="chapterData.isCollectVideo ? '鐐瑰嚮鍙栨秷' : '鐐瑰嚮鏀惰棌'"
- placement="top-start">
+ <el-tooltip
+ class="item"
+ effect="dark"
+ :content="chapterData.isCollectVideo ? '鐐瑰嚮鍙栨秷' : '鐐瑰嚮鏀惰棌'"
+ placement="top-start"
+ >
<img
- :src="collectResourceList.findIndex(item => item.id == 'a28cd862d61b5df2201406b76e9f01b0') > -1 ? collectCheck : collectImg"
- alt="" class="collect-btn" @click="handleCollect('video')" />
+ :src="
+ collectResourceList.findIndex(
+ (item) => item.id == 'a28cd862d61b5df2201406b76e9f01b0'
+ ) > -1
+ ? collectCheck
+ : collectImg
+ "
+ alt=""
+ class="collect-btn"
+ @click="handleCollect('video')"
+ />
</el-tooltip>
</p>
<p class="fl">
<span>
- <span class="zt-ls"><b>渚�1</b></span>銆�鏍规嵁鍥�3-16涓嚱鏁扮殑鍥惧儚锛屽垽鏂摢浜涘嚱鏁版槸鍋跺嚱鏁�.
+ <span class="zt-ls"><b>渚�1</b></span
+ >銆�鏍规嵁鍥�3-16涓嚱鏁扮殑鍥惧儚锛屽垽鏂摢浜涘嚱鏁版槸鍋跺嚱鏁�.
</span>
<span class="btn-box" @click="isShowExampleOne = !isShowExampleOne">
- <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
- <path class="a"
+ <svg
+ xmlns="http://www.w3.org/2000/svg"
+ width="16.501"
+ height="16.501"
+ viewBox="0 0 20.501 20.501"
+ >
+ <path
+ class="a"
d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
- transform="translate(-3327.144 15329)" />
+ transform="translate(-3327.144 15329)"
+ />
</svg>
</span>
</p>
@@ -188,15 +255,27 @@
銆�宸茬煡<i>f</i>锛�<i>x</i>锛�=|<i>x</i>|+1鍥惧儚鍦�<i>y</i>杞村彸杈圭殑閮ㄥ垎濡傚浘3-17鎵�绀�.璇曠敾鍑鸿繖涓嚱鏁板浘鍍忓湪<i>y</i>杞村乏杈圭殑閮ㄥ垎.
</span>
<span class="btn-box" @click="isShowExampleTwo = !isShowExampleTwo">
- <svg xmlns="http://www.w3.org/2000/svg" width="16.501" height="16.501" viewBox="0 0 20.501 20.501">
- <path class="a"
+ <svg
+ xmlns="http://www.w3.org/2000/svg"
+ width="16.501"
+ height="16.501"
+ viewBox="0 0 20.501 20.501"
+ >
+ <path
+ class="a"
d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
- transform="translate(-3327.144 15329)" />
+ transform="translate(-3327.144 15329)"
+ />
</svg>
</span>
</p>
<p class="center openImgBox">
- <img class="img-c" alt="" src="../../assets/images/0102-1.jpg" style="width: 40%" />
+ <img
+ class="img-c"
+ alt=""
+ src="../../assets/images/0102-1.jpg"
+ style="width: 40%"
+ />
</p>
<p class="img">鍥�3-17</p>
<p v-if="isShowExampleTwo">
@@ -207,13 +286,22 @@
濡傚浘3-18鎵�绀猴紝鍦�<i>y</i>杞村彸杈圭殑鍥惧儚涓婂彇涓ょ偣<i>A</i>鍜�<i>B</i>锛屽垎鍒敾鍑哄畠浠叧浜�<i>y</i>杞村绉扮殑鐐�<i>A</i>鈥插拰<i>B</i>鈥诧紝鐒跺悗杩炵嚎<i>A</i>鈥�<i>B</i>鈥诧紝灏卞緱鍒拌繖涓嚱鏁扮殑鍥惧儚鍦�<i>y</i>杞村乏杈圭殑閮ㄥ垎.
</p>
<p class="center openImgBox">
- <img class="img-c" alt="" src="../../assets/images/0102-2.jpg" style="width: 40%" />
+ <img
+ class="img-c"
+ alt=""
+ src="../../assets/images/0102-2.jpg"
+ style="width: 40%"
+ />
</p>
<p class="img">鍥�3-18</p>
<div class="bk">
<div class="bj1">
<p class="left">
- <img class="img-gn1" alt="" src="../../assets/images/tbts.jpg" />
+ <img
+ class="img-gn1"
+ alt=""
+ src="../../assets/images/tbts.jpg"
+ />
</p>
</div>
<p class="block">
@@ -221,103 +309,187 @@
</p>
</div>
<p>
- <span class="zt-ls"><b>渚�3</b></span>銆�鍒ゆ柇涓嬪垪鍑芥暟鏄笉鏄伓鍑芥暟.
+ <span class="zt-ls"><b>渚�3</b></span
+ >銆�鍒ゆ柇涓嬪垪鍑芥暟鏄笉鏄伓鍑芥暟.
</p>
<ul>
<li class="fl fl-cn">
<p>锛�1锛� <i>f</i>锛�<i>x</i>锛�=3<i>x</i><sup>2</sup>+1锛�</p>
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- <path class="a"
+ <span
+ class="btn-box"
+ @click="isShowExampleThree = !isShowExampleThree"
+ >
+ <svg
+ xmlns="http://www.w3.org/2000/svg"
+ width="16.501"
+ height="16.501"
+ viewBox="0 0 20.501 20.501"
+ >
+ <path
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d="M3344.717-15308.5H3337.4a10.186,10.186,0,0,1-7.25-3,10.185,10.185,0,0,1-3-7.25A10.262,10.262,0,0,1,3337.4-15329a10.26,10.26,0,0,1,10.249,10.248,10.129,10.129,0,0,1-2.2,6.341v3.177A.734.734,0,0,1,3344.717-15308.5Zm-9.606-7.29h4.493l.527,1.419c.071.182.156.386.254.608a2.428,2.428,0,0,0,.273.512.986.986,0,0,0,.315.262.971.971,0,0,0,.454.1,1.05,1.05,0,0,0,.773-.327,1.025,1.025,0,0,0,.319-.723,3.3,3.3,0,0,0-.277-1.051l-.062-.161-2.889-7.313c-.119-.321-.228-.607-.335-.873a2.972,2.972,0,0,0-.323-.616,1.56,1.56,0,0,0-.5-.469,1.552,1.552,0,0,0-.781-.181,1.535,1.535,0,0,0-.773.181,1.475,1.475,0,0,0-.5.477,3.674,3.674,0,0,0-.362.739l-.239.627-.054.135-2.824,7.355c-.095.229-.179.46-.25.688a1.529,1.529,0,0,0-.073.477.978.978,0,0,0,.323.72,1.039,1.039,0,0,0,.746.315.838.838,0,0,0,.716-.3,4.676,4.676,0,0,0,.466-.985l.062-.165.527-1.449Zm3.747-1.5h-3.293l1.812-5.124,1.481,5.123Z"
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<span class="btn-box" @click="openThinkingDialog">
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<span class="btn-box" @click="stepDialog = true">
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</li>
<li class="fl fl-cn">
<p>锛�2锛� <i>f</i>锛�<i>x</i>锛�=<i>x</i><sup>2</sup>+<i>x</i>锛�</p>
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- <path class="b"
+ transform="translate(398 948)"
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@@ -325,12 +497,15 @@
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<p>
- <span class="zt-ls"><b>瑙�</b></span>锛�1锛�
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+ <span class="zt-ls"><b>瑙�</b></span
+ >锛�1锛� 鍑芥暟<i>f</i>锛�<i>x</i>锛�=3<i>x</i
+ ><sup>2</sup
+ >+1鐨勫畾涔夊煙鏄�<b>R</b>锛屽浠绘剰<i>x</i>鈭�<b>R</b>锛岄兘鏈�-<i>x</i>鈭�<b>R</b>锛�
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<p>鑰�</p>
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+ <i>f</i>锛�-<i>x</i>锛�=3锛�-<i>x</i>锛�<sup>2</sup>+1=3<i>x</i
+ ><sup>2</sup>+1=<i>f</i>锛�<i>x</i>锛夛紝
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<p>
鎵�浠ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=3<i>x</i><sup>2</sup>+1鏄伓鍑芥暟.
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+ 锛�2锛� 鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i
+ ><sup>2</sup
+ >+<i>x</i>鐨勫畾涔夊煙鏄�<b>R</b>锛屽浠绘剰<i>x</i>鈭�<b>R</b>锛岄兘鏈�-<i>x</i>鈭�<b>R</b>锛岃��
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+ <i>f</i>锛�-<i>x</i>锛�=锛�-<i>x</i>锛�<sup>2</sup>+锛�-<i>x</i>锛�=<i
+ >x</i
+ ><sup>2</sup>-<i>x</i>鈮�<i>f</i>锛�<i>x</i>锛夛紝
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+ 鎵�浠ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=<i>x</i
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鍑芥暟<i>f</i>锛�<i>x</i>锛�=5<i>x</i>+2鐨勫畾涔夊煙鏄�<b>R</b>锛屽浠绘剰<i>x</i>鈭�<b>R</b>锛岄兘鏈�-<i>x</i>鈭�<i>R</i>锛岃��
</p>
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+ <i>f</i
+ >锛�-<i>x</i>锛�=5锛�-<i>x</i>锛�+2=-5<i>x</i>+2鈮�<i>f</i>锛�<i>x</i>锛夛紝
</p>
<p>鎵�浠ワ紝鍑芥暟<i>f</i>锛�<i>x</i>锛�=5<i>x</i>+2涓嶆槸鍋跺嚱鏁�.</p>
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<div class="bk-hzjl">
<div class="bj1-hzjl">
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+ <img
+ class="img-gn2"
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<p class="block tl">
濡傛灉<i>f</i>锛�<i>x</i>锛夛紝<i>g</i>锛�<i>x</i>锛夐兘鏄畾涔夊煙涓�<i>D</i>鐨勫伓鍑芥暟锛岄偅涔�<i>f</i>锛�<i>x</i>锛�+<i>g</i>锛�<i>x</i>锛夊拰<i>f</i>锛�<i>x</i>锛�<i>g</i>锛�<i>x</i>锛変粛鏄伓鍑芥暟鍚楋紵
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+ 鍥涖�佸嚱鏁� f(x)=x鈥�-3 鐨勫浘鍍忓湪
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+ text-align: center;
+ color: #333;
+ display: flex;
+ justify-content: center;
+ "
+ >
<span style=""> 瑙ｉ鎬濊矾 </span>
- <svg style="position: absolute; right:10px;cursor: pointer;" @click="thinkingDialog = false" t="1718596022986"
- class="icon" viewBox="0 0 1024 1024" version="1.1" xmlns="http://www.w3.org/2000/svg" p-id="4252" width="20"
- height="20" xmlns:xlink="http://www.w3.org/1999/xlink">
+ <svg
+ style="position: absolute; right: 10px; cursor: pointer"
+ @click="thinkingDialog = false"
+ t="1718596022986"
+ class="icon"
+ viewBox="0 0 1024 1024"
+ version="1.1"
+ xmlns="http://www.w3.org/2000/svg"
+ p-id="4252"
+ width="20"
+ height="20"
+ xmlns:xlink="http://www.w3.org/1999/xlink"
+ >
<path
d="M176.661601 817.172881C168.472798 825.644055 168.701706 839.149636 177.172881 847.338438 185.644056 855.527241 199.149636 855.298332 207.338438 846.827157L826.005105 206.827157C834.193907 198.355983 833.964998 184.850403 825.493824 176.661601 817.02265 168.472798 803.517069 168.701706 795.328267 177.172881L176.661601 817.172881Z"
- fill="#979797" p-id="4253"></path>
+ fill="#979797"
+ p-id="4253"
+ ></path>
<path
d="M795.328267 846.827157C803.517069 855.298332 817.02265 855.527241 825.493824 847.338438 833.964998 839.149636 834.193907 825.644055 826.005105 817.172881L207.338438 177.172881C199.149636 168.701706 185.644056 168.472798 177.172881 176.661601 168.701706 184.850403 168.472798 198.355983 176.661601 206.827157L795.328267 846.827157Z"
- fill="#979797" p-id="4254"></path>
+ fill="#979797"
+ p-id="4254"
+ ></path>
</svg>
</div>
<ul>
<li v-for="(item, index) in thinkOne" :key="index">
<div v-if="item.isShow" style="display: flex">
<span style="position: relative">
- <span style="position: absolute; top: 16px; left: 13px; color: #fff">{{ index + 1 }}</span>
- <img src="../../assets/images/icon/blue-group.png" alt="" style="margin-right: 10px"
- v-if="index < thinkOne.length - 1" />
- <img src="../../assets/images/icon/blue.png" alt="" v-if="index == thinkOne.length - 1"
- style="margin-right: 10px" />
+ <span
+ style="position: absolute; top: 16px; left: 13px; color: #fff"
+ >{{ index + 1 }}</span
+ >
+ <img
+ src="../../assets/images/icon/blue-group.png"
+ alt=""
+ style="margin-right: 10px"
+ v-if="index < thinkOne.length - 1"
+ />
+ <img
+ src="../../assets/images/icon/blue.png"
+ alt=""
+ v-if="index == thinkOne.length - 1"
+ style="margin-right: 10px"
+ />
</span>
<p class="txt-p">{{ item.txt }}</p>
</div>
</li>
</ul>
- <div @click="showNext(thinkIndex)" style="
+ <div
+ @click="showNext(thinkIndex)"
+ style="
display: flex;
flex-direction: column;
align-items: center;
justify-content: center;
- ">
- <img src="../../assets/images/icon/mouse.png" alt="" v-if="thinkIndex != 3" />
- <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" t="1710234570135"
- class="icon" viewBox="0 0 1024 1024" version="1.1" p-id="5067" width="15" height="15">
+ "
+ >
+ <img
+ src="../../assets/images/icon/mouse.png"
+ alt=""
+ v-if="thinkIndex != 3"
+ />
+ <svg
+ xmlns="http://www.w3.org/2000/svg"
+ xmlns:xlink="http://www.w3.org/1999/xlink"
+ t="1710234570135"
+ class="icon"
+ viewBox="0 0 1024 1024"
+ version="1.1"
+ p-id="5067"
+ width="15"
+ height="15"
+ >
<path
d="M2.257993 493.371555 415.470783 906.584344 512 1003.113561 608.529217 906.584344 1021.742007 493.371555 925.212789 396.842337 512 810.055127 98.787211 396.842337Z"
- fill="#1296db" p-id="5068" />
+ fill="#1296db"
+ p-id="5068"
+ />
<path
d="M2.257993 117.980154 415.470783 531.192944 512 627.722161 608.529217 531.192944 1021.742007 117.980154 925.212789 21.450937 512 434.663727 98.787211 21.450937Z"
- fill="#1296db" p-id="5069" />
+ fill="#1296db"
+ p-id="5069"
+ />
</svg>
</div>
</el-dialog>
<!-- 瑙ｉ姝ラ寮圭獥 -->
- <el-dialog class="stepDialog" title="瑙ｉ姝ラ" :visible.sync="stepDialog" width="40%" :append-to-body="true"
- :show-close="false">
- <div slot="title" style="padding: 0; text-align: center; color: #333;display:flex;justify-content: center;">
- <span>
- 瑙ｉ姝ラ
- </span>
- <svg style="position: absolute; right:10px;cursor: pointer;" @click="stepDialog = false" t="1718596022986"
- class="icon" viewBox="0 0 1024 1024" version="1.1" xmlns="http://www.w3.org/2000/svg" p-id="4252" width="20"
- height="20" xmlns:xlink="http://www.w3.org/1999/xlink">
+ <el-dialog
+ class="stepDialog"
+ title="瑙ｉ姝ラ"
+ :visible.sync="stepDialog"
+ width="40%"
+ :append-to-body="true"
+ :show-close="false"
+ >
+ <div
+ slot="title"
+ style="
+ padding: 0;
+ text-align: center;
+ color: #333;
+ display: flex;
+ justify-content: center;
+ "
+ >
+ <span> 瑙ｉ姝ラ </span>
+ <svg
+ style="position: absolute; right: 10px; cursor: pointer"
+ @click="stepDialog = false"
+ t="1718596022986"
+ class="icon"
+ viewBox="0 0 1024 1024"
+ version="1.1"
+ xmlns="http://www.w3.org/2000/svg"
+ p-id="4252"
+ width="20"
+ height="20"
+ xmlns:xlink="http://www.w3.org/1999/xlink"
+ >
<path
d="M176.661601 817.172881C168.472798 825.644055 168.701706 839.149636 177.172881 847.338438 185.644056 855.527241 199.149636 855.298332 207.338438 846.827157L826.005105 206.827157C834.193907 198.355983 833.964998 184.850403 825.493824 176.661601 817.02265 168.472798 803.517069 168.701706 795.328267 177.172881L176.661601 817.172881Z"
- fill="#979797" p-id="4253"></path>
+ fill="#979797"
+ p-id="4253"
+ ></path>
<path
d="M795.328267 846.827157C803.517069 855.298332 817.02265 855.527241 825.493824 847.338438 833.964998 839.149636 834.193907 825.644055 826.005105 817.172881L207.338438 177.172881C199.149636 168.701706 185.644056 168.472798 177.172881 176.661601 168.701706 184.850403 168.472798 198.355983 176.661601 206.827157L795.328267 846.827157Z"
- fill="#979797" p-id="4254"></path>
+ fill="#979797"
+ p-id="4254"
+ ></path>
</svg>
</div>
<ul>
<li v-for="(item, index) in stepOne" :key="index">
<div v-if="item.isShow" style="display: flex">
<span style="position: relative">
- <span style="position: absolute; top: 16px; left: 13px; color: #fff">{{ index + 1 }}</span>
- <img src="../../assets/images/icon/blue-group.png" alt="" style="margin-right: 10px"
- v-if="index < stepOne.length - 1" />
- <img src="../../assets/images/icon/blue.png" alt="" v-if="index == stepOne.length - 1"
- style="margin-right: 10px" />
+ <span
+ style="position: absolute; top: 16px; left: 13px; color: #fff"
+ >{{ index + 1 }}</span
+ >
+ <img
+ src="../../assets/images/icon/blue-group.png"
+ alt=""
+ style="margin-right: 10px"
+ v-if="index < stepOne.length - 1"
+ />
+ <img
+ src="../../assets/images/icon/blue.png"
+ alt=""
+ v-if="index == stepOne.length - 1"
+ style="margin-right: 10px"
+ />
</span>
<p class="txt-p">{{ item.txt }}</p>
</div>
</li>
</ul>
- <div @click="showNextChange(stepIndex)" style="
+ <div
+ @click="showNextChange(stepIndex)"
+ style="
display: flex;
flex-direction: column;
align-items: center;
justify-content: center;
- ">
- <img src="../../assets/images/icon/mouse.png" alt="" v-if="stepIndex != 2" />
- <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" t="1710234570135"
- class="icon" viewBox="0 0 1024 1024" version="1.1" p-id="5067" width="15" height="15">
+ "
+ >
+ <img
+ src="../../assets/images/icon/mouse.png"
+ alt=""
+ v-if="stepIndex != 2"
+ />
+ <svg
+ xmlns="http://www.w3.org/2000/svg"
+ xmlns:xlink="http://www.w3.org/1999/xlink"
+ t="1710234570135"
+ class="icon"
+ viewBox="0 0 1024 1024"
+ version="1.1"
+ p-id="5067"
+ width="15"
+ height="15"
+ >
<path
d="M2.257993 493.371555 415.470783 906.584344 512 1003.113561 608.529217 906.584344 1021.742007 493.371555 925.212789 396.842337 512 810.055127 98.787211 396.842337Z"
- fill="#1296db" p-id="5068" />
+ fill="#1296db"
+ p-id="5068"
+ />
<path
d="M2.257993 117.980154 415.470783 531.192944 512 627.722161 608.529217 531.192944 1021.742007 117.980154 925.212789 21.450937 512 434.663727 98.787211 21.450937Z"
- fill="#1296db" p-id="5069" />
+ fill="#1296db"
+ p-id="5069"
+ />
</svg>
</div>
</el-dialog>
@@ -523,9 +860,12 @@
<script>
import examinations from "@/components/examinations/index.vue";
-import graffiti from '@/components/graffiti/index.vue'
+import graffiti from "@/components/graffiti/index.vue";
import { getResourcePath } from "@/assets/methods/resources";
-import { getCollectResource, setCollectResource } from "@/assets/methods/resources";
+import {
+ getCollectResource,
+ setCollectResource,
+} from "@/assets/methods/resources";
export default {
name: "chapter-one",
components: { examinations, graffiti },
@@ -535,8 +875,8 @@
default: [],
},
questionData: {
- type: Object
- }
+ type: Object,
+ },
},
async mounted() {
const data = localStorage.getItem("math-chapterData");
@@ -544,7 +884,9 @@
this.chapterData = JSON.parse(data);
}
this.getPath();
- this.collectResourceList = await getCollectResource(this.config.activeBook.bookId)
+ this.collectResourceList = await getCollectResource(
+ this.config.activeBook.bookId
+ );
},
data() {
return {
@@ -595,7 +937,7 @@
dragQuestion: [
{
analysisCon: null,
- answer: ['A', 'B', 'C'],
+ answer: ["A", "B", "C"],
difficulty: 0,
id: "7BC7B760",
isCollect: false,
@@ -610,21 +952,21 @@
index: "010311",
txt: "鑳嗗皬鐨�",
value: "A",
- isShow: true
+ isShow: true,
},
{
img: "",
index: "010312",
txt: "鍠勮壇鐨�",
value: "B",
- isShow: true
+ isShow: true,
},
{
img: "",
index: "010313",
txt: "娌夌ǔ鐨�",
value: "C",
- isShow: true
+ isShow: true,
},
],
optionStyle: "Txt",
@@ -634,38 +976,38 @@
0: "铓傝殎闃熼暱璧拌矾鏄傞鎸鸿兏銆佹浼愬潥瀹氾紝瀹冩槸涓�鍙�(",
1: {
data: "span",
- num: 0
+ num: 0,
},
2: ")铓傝殎;灏忚殏铓佽蛋璧疯矾鏉ュ皬蹇冪考缈硷紝鐪肩椋樺拷涓嶅畾锛屽畠鏄竴鍙�(",
3: {
data: "span",
- num: 1
+ num: 1,
},
4: ")铓傝殎;铓傝殎灏忓闈㈠甫寰瑧锛屾椂鍒绘効鎰忓府鍔╁ぇ瀹讹紝瀹冩槸涓�鍙�(",
5: {
data: "span",
num: 2,
},
- 6: " )铓傝殎"
+ 6: " )铓傝殎",
},
stemStyle: "RichTxt",
type: "鎷栨嫿棰�",
userAnswer: [
{
- vlaue: '',
- txt: ''
+ vlaue: "",
+ txt: "",
},
{
- vlaue: '',
- txt: ''
+ vlaue: "",
+ txt: "",
},
{
- vlaue: '',
- txt: ''
+ vlaue: "",
+ txt: "",
},
- ]
+ ],
},
- ]
+ ],
};
},
methods: {
@@ -716,9 +1058,23 @@
// },
handleCollect(type) {
if (type == "img") {
- this.handleCollectResource("722FE833", "", 'images/0101-1.jpg', "鍥剧墖", "json", '鍥�3-15')
+ this.handleCollectResource(
+ "722FE833",
+ "",
+ "images/0101-1.jpg",
+ "鍥剧墖",
+ "json",
+ "鍥�3-15"
+ );
} else if (type == "video") {
- this.handleCollectResource("a28cd862d61b5df2201406b76e9f01b0", "a28cd862d61b5df2201406b76e9f01b0", '', "瑙嗛", "bits", '瑙嗛锛氬垽鏁板嚱鏁板鍋舵�х殑鏂规硶鍜屾楠�')
+ this.handleCollectResource(
+ "a28cd862d61b5df2201406b76e9f01b0",
+ "a28cd862d61b5df2201406b76e9f01b0",
+ "",
+ "瑙嗛",
+ "bits",
+ "瑙嗛锛氬垽鏁板嚱鏁板鍋舵�х殑鏂规硶鍜屾楠�"
+ );
// setCollectResource(this.config.activeBook.bookId,[])
}
this.handleChapterData();
@@ -745,11 +1101,18 @@
}
},
//璧勬簮鏀惰棌浜嬩欢
- handleCollectResource(id, md5, resourcePath, resourceType, source, resourceName) {
+ handleCollectResource(
+ id,
+ md5,
+ resourcePath,
+ resourceType,
+ source,
+ resourceName
+ ) {
console.log(this.collectResourceList);
- let list = this.collectResourceList
- if (list.findIndex(item => item.id == id) > -1) {
- list = list.filter(item => item.id != id)
+ let list = this.collectResourceList;
+ if (list.findIndex((item) => item.id == id) > -1) {
+ list = list.filter((item) => item.id != id);
} else {
list.push({
id,
@@ -758,11 +1121,14 @@
resourceType,
source,
resourceName,
- })
+ });
}
- this.collectResourceList = list
- setCollectResource(this.config.activeBook.bookId, this.collectResourceList)
- }
+ this.collectResourceList = list;
+ setCollectResource(
+ this.config.activeBook.bookId,
+ this.collectResourceList
+ );
+ },
},
};
</script>
@@ -807,5 +1173,6 @@
}
}
-.stepDialog {}
+.stepDialog {
+}
</style>
diff --git a/src/components/examinations/index.vue b/src/components/examinations/index.vue
index 48a8230..ded0303 100644
--- a/src/components/examinations/index.vue
+++ b/src/components/examinations/index.vue
@@ -1,6 +1,6 @@
<template>
<div class="examination" v-loading="loading">
- <div v-for="(item, nindex) in cardData" :key="nindex" class="border-box" v-show="item.infoList.length">
+ <div v-for="(item, nindex) in cardData" :key="nindex + 'item'" class="border-box" v-show="item.infoList.length">
<p class="catalogName" :style="{ color: primaryColor }">
<span v-if="nindex == 0">涓�銆�</span>
<span v-if="nindex == 1">浜屻��</span>
@@ -10,7 +10,7 @@
<span>{{ item.catalogName }}</span>
</p>
<ul>
- <li v-for="(value, index) in item.infoList" :key="value.id" :id="'listItem-' + value.id">
+ <li v-for="(value, index) in item.infoList" :key="index + 'value'" :id="'listItem-' + value.id">
<!-- 鏍囬 -->
<div class="questionTitle">
<div class="titleContent">
@@ -40,7 +40,7 @@
</p>
<!-- 濉┖棰橀骞� -->
<p class="titleText" v-if="value.questionType == 'completion'">
- <span v-for="(itemText, indexText) in value.stem" :key="indexText">
+ <span v-for="(itemText, indexText) in value.stem" :key="indexText + 'questionType'">
<span v-if="typeof itemText == 'string'" v-html="itemText"></span>
<!-- -->
<input v-else type="text" class="input" v-model.trim="value.userAnswer[itemText.num]"
@@ -62,7 +62,7 @@
value.questionType == 'singleChoice' ||
value.questionType == 'judge'
" v-model="value.userAnswer">
- <el-radio v-for="content in value.option" :key="content.value" :label="content.value" :class="value.optionStyle == 'Image' ||
+ <el-radio v-for="(content,contentIndex) in value.option" :key="contentIndex + 'contentIndex'" :label="content.value" :class="value.optionStyle == 'Image' ||
value.optionStyle == 'TxtAndImage' ||
value.optionStyle == 'RichText'
? 'optionImg'
@@ -73,8 +73,8 @@
</p>
<p class="optionContent" v-else-if="value.optionStyle == 'Image'">
{{ content.value }}銆�<el-image :src="getPublicImage(content.img, 115)" v-show="content.img"
- :preview-src-list="[getPublicImage(content.img)]" v-if="isReal"></el-image>
- <img :src="content.img" alt="" v-if="!isReal" class="radio-img" />
+ :preview-src-list="[getPublicImage(content.img)]" v-if="sourceType == 'bits'"></el-image>
+ <img :src="content.img" alt="" v-else class="radio-img" />
</p>
<p class="optionContent" v-else-if="value.optionStyle == 'TxtAndImage'">
<span> {{ content.value }}銆�</span><span>{{ content.txt }}</span>
@@ -88,7 +88,7 @@
<!-- 澶氶�� -->
<el-checkbox-group :disabled="value.isComplete" v-model="value.userAnswer" class="option"
v-else-if="value.questionType == 'multipleChoice'">
- <el-checkbox v-for="content in value.option" :key="content.value" :label="content.value"
+ <el-checkbox v-for="(content,contentCindex) in value.option" :key="contentCindex + 'contentCindex'" :label="content.value"
:name="content.text" :class="value.optionStyle == 'Image' ||
value.optionStyle == 'TxtAndImage' ||
value.optionStyle == 'RichText'
@@ -322,10 +322,6 @@
},
page: {
type: Number,
- },
- isReal: {
- type: Boolean,
- default: true,
},
inputBc: {
type: String,
--
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