From e81c27ae4f00a107b1bf67062c9f008686a8e19f Mon Sep 17 00:00:00 2001
From: 闫增涛 <1829501689@qq.com>
Date: 星期六, 12 十月 2024 13:06:03 +0800
Subject: [PATCH] 数学

---
 src/books/mathBook/view/components/chapter005.vue | 9400 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 1 files changed, 9,329 insertions(+), 71 deletions(-)

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>.&nbsp;</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>&nbsp;</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>&nbsp;</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>&nbsp;</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>&nbsp;鐨勫杈�&nbsp;</mtext>
+                  </mrow>
+                  <mtext>&nbsp;鏂滆竟&nbsp;</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>&nbsp;鐨勯偦杈�&nbsp;</mtext>
+                  </mrow>
+                  <mtext>&nbsp;鏂滆竟&nbsp;</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>&nbsp;鐨勫杈�&nbsp;</mtext>
+                  </mrow>
+                  <mrow>
+                    <mi mathvariant="normal">鈭�</mi>
+                    <mi>伪</mi>
+                    <mtext>&nbsp;鐨勯偦杈�&nbsp;</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>&gt;</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>&gt;</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>&lt;</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>&lt;</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>&lt;</mo>
+              <mi>蟺</mi>
+              <mo>+</mo>
+              <mfrac>
+                <mrow>
+                  <mn>5</mn>
+                  <mi>蟺</mi>
+                </mrow>
+                <mn>12</mn>
+              </mfrac>
+              <mo>&lt;</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>&lt;</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>&nbsp;鐢�&nbsp;</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>&nbsp;寰�,&nbsp;</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�&nbsp;</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>.&nbsp;</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>&nbsp;鍘熷紡&nbsp;</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>&lt;</mo>
+              <mfrac>
+                <mrow>
+                  <mn>2</mn>
+                  <mi>蟺</mi>
+                </mrow>
+                <mn>3</mn>
+              </mfrac>
+              <mo>&lt;</mo>
+              <mfrac>
+                <mrow>
+                  <mn>3</mn>
+                  <mi>蟺</mi>
+                </mrow>
+                <mn>4</mn>
+              </mfrac>
+              <mo>&lt;</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>&lt;</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>.&nbsp;</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>&lt;</mo>
+              <mo>鈭�</mo>
+              <mfrac>
+                <mi>蟺</mi>
+                <mn>9</mn>
+              </mfrac>
+              <mo>&lt;</mo>
+              <mo>鈭�</mo>
+              <mfrac>
+                <mi>蟺</mi>
+                <mn>10</mn>
+              </mfrac>
+              <mo>&lt;</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>&lt;</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>.&nbsp;</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>&lt;</mo>
+              <mfrac>
+                <mrow>
+                  <mn>6</mn>
+                  <mi>蟺</mi>
+                </mrow>
+                <mn>5</mn>
+              </mfrac>
+              <mo>&lt;</mo>
+              <mfrac>
+                <mrow>
+                  <mn>5</mn>
+                  <mi>蟺</mi>
+                </mrow>
+                <mn>4</mn>
+              </mfrac>
+              <mo>&lt;</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>&lt;</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>&lt;</mo>
+              <mfrac>
+                <mi>蟺</mi>
+                <mn>8</mn>
+              </mfrac>
+              <mo>&lt;</mo>
+              <mfrac>
+                <mi>蟺</mi>
+                <mn>7</mn>
+              </mfrac>
+              <mo>&lt;</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>&lt;</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>&lt;</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>&gt;</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>&lt;</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>&gt;</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>&gt;</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>
 

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