| | |
| | | <h1 id="a007"> |
| | | <img class="img-0" alt="" src="../../assets/images/dy3.jpg" /> |
| | | </h1> |
| | | <div class="padding-96"> |
| | | <div class="padding-116"> |
| | | <p> |
| | | 在客观世界中存在各种各样的运动变化现象.如搭载神舟十四号载人飞船的长征二号运载火箭发射过程中,飞船与发射点距离会随着时间的变化而变化;深海勇士号载人潜水器在下潜实验过程中,其压强随着下潜深度的增加而增大;代表新能源技术的光伏发电和风能发电,我国的装机容量随时间变化而增长;我国快速发展的高速铁路,其总里程是逐年增加的,现已突破4万km |
| | | ,稳居世界第一;每个人的体温随着时间的变化而变化;到商店购买同一种饮料的数量越多,付费越多等.这些动态变化现象都表现为变量之间的对应关系,我们常用函数模型来描述这些变量之间的关系和规律,并通过研究函数来认识客观世界. |
| | |
| | | </div> |
| | | <div class="page-box" page="5"> |
| | | <div v-if="showPageList.indexOf(5) > -1"> |
| | | <div class="padding-96"> |
| | | <div class="padding-116"> |
| | | <p class="left"> |
| | | <img class="inline2" alt="" src="../../assets/images/xxmb.jpg" /> |
| | | </p> |
| | |
| | | <p><span>089</span></p> |
| | | </li> |
| | | </ul> |
| | | <div class="padding-96"> |
| | | <div class="padding-116"> |
| | | <h3 id="c031"> |
| | | 3.3.2 函数的奇偶性<span class="fontsz2">>>></span> |
| | | </h3> |
| | |
| | | 函数<i>f</i>(<i>x</i>)=|<i>x</i>|和<i>g</i>(<i>x</i>)=<i>x</i |
| | | ><sup>2</sup>的图像的对称性如何? |
| | | </p> |
| | | <textarea |
| | | cols="30" |
| | | rows="4" |
| | | v-model="chapterData.txtOne" |
| | | placeholder="请输入内容" |
| | | class="w100 ta-br textarea-text" |
| | | @input="handleChapterData" |
| | | ></textarea> |
| | | <p class="left"> |
| | | <img class="img-gn" alt="" src="../../assets/images/tjfx.jpg" /> |
| | | </p> |
| | |
| | | >=<i>g</i>(<i>x</i>),即<i>g</i>(-<i>x</i>)=<i>g</i>(<i>x</i>). |
| | | </p> |
| | | <p> |
| | | 这两个函数的图像都关于<i>y</i>轴对称;当自变量取定义域中任意一对相反数时,对应的函数值都相等,这种函数就是偶函数. |
| | | 这两个函数的图像都关于 <i>y</i> 轴对称;当自变量取定义域中任意一对相 |
| | | </p> |
| | | </div> |
| | | </div> |
| | |
| | | <li>数学.基础模块</li> |
| | | <li></li> |
| | | </ul> |
| | | <div class="padding-96"> |
| | | <div class="padding-116"> |
| | | <p class="t0">反数时,对应的函数值都相等,这种函数就是偶函数.</p> |
| | | <p class="left"> |
| | | <img class="img-gn" alt="" src="../../assets/images/cxgk.jpg" /> |
| | | </p> |
| | |
| | | </p> |
| | | <p class="img fl fl-cn ju-cn"> |
| | | <span>图3-15</span> |
| | | <el-tooltip class="item" effect="dark" :content="chapterData.isCollectImg ? '点击取消' : '点击收藏'" placement="top-start"> |
| | | <el-tooltip |
| | | class="item" |
| | | effect="dark" |
| | | :content="chapterData.isCollectImg ? '点击取消' : '点击收藏'" |
| | | placement="top-start" |
| | | > |
| | | <img |
| | | :src="chapterData.isCollectImg ? collectCheck : collectImg" |
| | | alt="" |
| | | class="collect-btn" |
| | | @click="handleCollect('img')" |
| | | /> |
| | | :src="chapterData.isCollectImg ? collectCheck : collectImg" |
| | | alt="" |
| | | class="collect-btn" |
| | | @click="handleCollect('img')" |
| | | /> |
| | | </el-tooltip> |
| | | </p> |
| | | <video |
| | |
| | | ></video> |
| | | <p class="img fl fl-cn ju-cn"> |
| | | <span>视频:判数函数奇偶性的方法和步骤 </span> |
| | | <el-tooltip class="item" effect="dark" :content="chapterData.isCollectVideo ? '点击取消' : '点击收藏'" placement="top-start"> |
| | | <el-tooltip |
| | | class="item" |
| | | effect="dark" |
| | | :content="chapterData.isCollectVideo ? '点击取消' : '点击收藏'" |
| | | placement="top-start" |
| | | > |
| | | <img |
| | | :src="chapterData.isCollectVideo ? collectCheck : collectImg" |
| | | alt="" |
| | | class="collect-btn" |
| | | @click="handleCollect('video')" |
| | | /> |
| | | :src="chapterData.isCollectVideo ? collectCheck : collectImg" |
| | | alt="" |
| | | class="collect-btn" |
| | | @click="handleCollect('video')" |
| | | /> |
| | | </el-tooltip> |
| | | </p> |
| | | <p> |
| | | <span class="zt-ls"><b>例1</b></span |
| | | > 根据图3-16中函数的图像,判断哪些函数是偶函数. |
| | | <p class="fl"> |
| | | <span> |
| | | <span class="zt-ls"><b>例1</b></span |
| | | > 根据图3-16中函数的图像,判断哪些函数是偶函数. |
| | | </span> |
| | | <span class="btn-box" @click="isShowExampleOne = !isShowExampleOne"> |
| | | <svg |
| | | xmlns="http://www.w3.org/2000/svg" |
| | | width="20.501" |
| | | height="20.501" |
| | | width="16.501" |
| | | height="16.501" |
| | | viewBox="0 0 20.501 20.501" |
| | | > |
| | | <path |
| | |
| | | 的函数图像不关于<i>y</i>轴对称.根据偶函数的图像具有关于<i>y</i>轴对称的特点,图3-16(1)和图3-16(4)的函数是偶函数,图3-16(2)和图3-16(3)的函数不是偶函数. |
| | | </p> |
| | | </div> |
| | | <p> |
| | | <span class="zt-ls"><b>例2</b></span |
| | | > 已知<i>f</i>(<i>x</i>)=|<i>x</i>|+1图像在<i>y</i>轴右边的部分如图3-17所示.试画出这个函数图像在<i>y</i>轴左边的部分. |
| | | </div> |
| | | </div> |
| | | </div> |
| | | <div class="page-box" page="8"> |
| | | <div v-if="showPageList.indexOf(8) > -1"> |
| | | <ul class="page-header-box"> |
| | | <li> |
| | | <p>第三单元 函数</p> |
| | | </li> |
| | | <li> |
| | | <p><span>091</span></p> |
| | | </li> |
| | | </ul> |
| | | <div class="padding-116"> |
| | | <p class="fl"> |
| | | <span> |
| | | <span class="zt-ls"><b>例2</b></span> |
| | | 已知<i>f</i>(<i>x</i>)=|<i>x</i>|+1图像在<i>y</i>轴右边的部分如图3-17所示.试画出这个函数图像在<i>y</i>轴左边的部分. |
| | | </span> |
| | | <span class="btn-box" @click="isShowExampleTwo = !isShowExampleTwo"> |
| | | <svg |
| | | xmlns="http://www.w3.org/2000/svg" |
| | | width="20.501" |
| | | height="20.501" |
| | | width="16.501" |
| | | height="16.501" |
| | | viewBox="0 0 20.501 20.501" |
| | | > |
| | | <path |
| | |
| | | /> |
| | | </p> |
| | | <p class="img">图3-17</p> |
| | | </div> |
| | | </div> |
| | | </div> |
| | | <div class="page-box" page="8"> |
| | | <div v-if="showPageList.indexOf(8) > -1"> |
| | | <ul class="page-header-box"> |
| | | <li> |
| | | <p>第三单元 函数</p> |
| | | </li> |
| | | <li> |
| | | <p><span>091</span></p> |
| | | </li> |
| | | </ul> |
| | | <div class="padding-96"> |
| | | <p v-if="isShowExampleTwo"> |
| | | <span class="zt-ls"><b>解</b></span> |
| | | 函数<i>f</i>(<i>x</i>)=|<i>x</i>|+1的定义域是(-∞,+∞),因为它是偶函数,所以根据其图像关于<i>y</i>轴对称的特点,即可画出这个函数在<i>x</i>∈(-∞,0]上的图像. |
| | |
| | | > |
| | | <svg |
| | | xmlns="http://www.w3.org/2000/svg" |
| | | width="18.501" |
| | | height="18.501" |
| | | width="16.501" |
| | | height="16.501" |
| | | viewBox="0 0 20.501 20.501" |
| | | > |
| | | <path |
| | |
| | | <span class="btn-box" @click="openThinkingDialog"> |
| | | <svg |
| | | xmlns="http://www.w3.org/2000/svg" |
| | | width="18.545" |
| | | height="20.112" |
| | | width="16.545" |
| | | height="18.112" |
| | | viewBox="0 0 20.545 22.112" |
| | | > |
| | | <path |
| | |
| | | <span class="btn-box" @click="stepDialog = true"> |
| | | <svg |
| | | xmlns="http://www.w3.org/2000/svg" |
| | | width="17.28" |
| | | height="19.563" |
| | | width="15.28" |
| | | height="17.563" |
| | | viewBox="0 0 19.28 20.563" |
| | | > |
| | | <g transform="translate(-109.056 -82.941)"> |
| | |
| | | <svg |
| | | xmlns="http://www.w3.org/2000/svg" |
| | | xmlns:xlink="http://www.w3.org/1999/xlink" |
| | | width="17.323" |
| | | height="17.939" |
| | | width="15.323" |
| | | height="15.939" |
| | | viewBox="0 0 18.323 15.939" |
| | | > |
| | | <g transform="translate(-398 -946)"> |
| | |
| | | class="btn-box" |
| | | @click="isShowExampleFour = !isShowExampleFour" |
| | | > |
| | | <svg |
| | | <svg |
| | | xmlns="http://www.w3.org/2000/svg" |
| | | width="18.501" |
| | | height="18.501" |
| | | width="16.501" |
| | | height="16.501" |
| | | viewBox="0 0 20.501 20.501" |
| | | > |
| | | <path |
| | |
| | | <svg |
| | | xmlns="http://www.w3.org/2000/svg" |
| | | xmlns:xlink="http://www.w3.org/1999/xlink" |
| | | width="17.323" |
| | | height="17.939" |
| | | width="15.323" |
| | | height="15.939" |
| | | viewBox="0 0 18.323 15.939" |
| | | > |
| | | <g transform="translate(-398 -946)"> |
| | |
| | | class="btn-box" |
| | | @click="isShowExampleFive = !isShowExampleFive" |
| | | > |
| | | <svg |
| | | <svg |
| | | xmlns="http://www.w3.org/2000/svg" |
| | | width="18.501" |
| | | height="18.501" |
| | | width="16.501" |
| | | height="16.501" |
| | | viewBox="0 0 20.501 20.501" |
| | | > |
| | | <path |
| | |
| | | <svg |
| | | xmlns="http://www.w3.org/2000/svg" |
| | | xmlns:xlink="http://www.w3.org/1999/xlink" |
| | | width="17.323" |
| | | height="17.939" |
| | | width="15.323" |
| | | height="15.939" |
| | | viewBox="0 0 18.323 15.939" |
| | | > |
| | | <g transform="translate(-398 -946)"> |
| | |
| | | </div> |
| | | <p class="block"> |
| | | 如果<i>f</i>(<i>x</i>),<i>g</i>(<i>x</i>)都是定义域为<i>D</i>的偶函数,那么<i>f</i>(<i>x</i>)+<i>g</i>(<i>x</i>)和<i>f</i>(<i>x</i>)<i>g</i>(<i>x</i>)仍是偶函数吗? |
| | | <textarea |
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| | | rows="4" |
| | | v-model="chapterData.txtTwo" |
| | | placeholder="请输入内容" |
| | | class="w100 ta-br textarea-text" |
| | | @input="handleChapterData" |
| | | ></textarea> |
| | | </p> |
| | | </div> |
| | | <textarea |
| | | cols="30" |
| | | rows="4" |
| | | v-model="chapterData.txtOne" |
| | | placeholder="请输入内容" |
| | | class="w100 ta-br textarea-text" |
| | | @input="handleChapterData" |
| | | ></textarea> |
| | | </div> |
| | | </div> |
| | | </div> |
| | |
| | | <li>数学.基础模块</li> |
| | | <li></li> |
| | | </ul> |
| | | <div class="padding-96"> |
| | | <div class="padding-116"> |
| | | <p class="left"> |
| | | <img class="img-gn" alt="" src="../../assets/images/stlx.jpg" /> |
| | | </p> |
| | |
| | | <iframe |
| | | src="https://www.geogebra.org/calculator" |
| | | frameborder="0" |
| | | class="iframe-box" |
| | | style="width: 100%; min-height: 800px" |
| | | ></iframe> |
| | | <span slot="footer" class="dialog-footer"> |
| | | <el-button @click="dialogVisible = false">取 消</el-button> |
| | | <el-button type="primary" @click="dialogVisible = false" |
| | | >确 定</el-button |
| | | > |
| | | </span> |
| | | </el-dialog> |
| | | <!-- 解题思路弹窗 --> |
| | | <el-dialog |
| | |
| | | > |
| | | <ul> |
| | | <li v-for="(item, index) in thinkOne" :key="index"> |
| | | <div v-if="item.isShow"> |
| | | <div v-if="item.isShow" style="display: flex"> |
| | | <span class="step-num"> |
| | | <span class="step-num-box">{{ index + 1 }}</span> |
| | | <img |
| | | src="../../assets/images/icon/blue-group.png" |
| | | alt="" |
| | | style="margin-right: 10px" |
| | | v-if="index < thinkOne.length - 1" |
| | | /> |
| | | <img |
| | | src="../../assets/images/icon/blue.png" |
| | | alt="" |
| | | v-if="index == thinkOne.length - 1" |
| | | style="margin-right: 10px" |
| | | /> |
| | | </span> |
| | | <p class="txt-p">{{ item.txt }}</p> |
| | | <div style="text-align: center"> |
| | | <svg |
| | | @click="showNext(index + 1)" |
| | | v-if="index != thinkOne.length - 1" |
| | | xmlns="http://www.w3.org/2000/svg" |
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| | | t="1710234570135" |
| | | class="icon" |
| | | viewBox="0 0 1024 1024" |
| | | version="1.1" |
| | | p-id="5067" |
| | | width="15" |
| | | height="15" |
| | | > |
| | | <path |
| | | d="M2.257993 493.371555 415.470783 906.584344 512 1003.113561 608.529217 906.584344 1021.742007 493.371555 925.212789 396.842337 512 810.055127 98.787211 396.842337Z" |
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| | | fill="#1296db" |
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| | | <el-button @click="thinkingDialog = false">取 消</el-button> |
| | | <el-button type="primary" @click="thinkingDialog = false" |
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| | | <div class="bottom-btn" @click="showNext(thinkIndex)"> |
| | | <img src="../../assets/images/icon/mouse.png" alt="" v-if="thinkIndex != 3" /> |
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| | | xmlns="http://www.w3.org/2000/svg" |
| | | xmlns:xlink="http://www.w3.org/1999/xlink" |
| | | t="1710234570135" |
| | | class="icon" |
| | | viewBox="0 0 1024 1024" |
| | | version="1.1" |
| | | p-id="5067" |
| | | width="15" |
| | | height="15" |
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| | | </span> |
| | | <path |
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| | | fill="#1296db" |
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| | | <path |
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| | | fill="#1296db" |
| | | p-id="5069" |
| | | /> |
| | | </svg> |
| | | </div> |
| | | </el-dialog> |
| | | <!-- 解题步骤弹窗 --> |
| | | <el-dialog |
| | |
| | | > |
| | | <ul> |
| | | <li v-for="(item, index) in stepOne" :key="index"> |
| | | <div v-if="item.isShow"> |
| | | <div v-if="item.isShow" style="display: flex"> |
| | | <span class="step-num"> |
| | | <span class="step-num-box">{{ index + 1 }}</span> |
| | | <img |
| | | src="../../assets/images/icon/blue-group.png" |
| | | alt="" |
| | | style="margin-right: 10px" |
| | | v-if="index < stepOne.length - 1" |
| | | /> |
| | | <img |
| | | src="../../assets/images/icon/blue.png" |
| | | alt="" |
| | | v-if="index == stepOne.length - 1" |
| | | style="margin-right: 10px" |
| | | /> |
| | | </span> |
| | | <p class="txt-p">{{ item.txt }}</p> |
| | | <div style="text-align: center"> |
| | | <svg |
| | | @click="showNextChange(index + 1)" |
| | | v-if="index != thinkOne.length - 1" |
| | | xmlns="http://www.w3.org/2000/svg" |
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| | | t="1710234570135" |
| | | class="icon" |
| | | viewBox="0 0 1024 1024" |
| | | version="1.1" |
| | | p-id="5067" |
| | | width="15" |
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| | | > |
| | | <path |
| | | d="M2.257993 493.371555 415.470783 906.584344 512 1003.113561 608.529217 906.584344 1021.742007 493.371555 925.212789 396.842337 512 810.055127 98.787211 396.842337Z" |
| | | fill="#1296db" |
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| | | fill="#1296db" |
| | | p-id="5069" |
| | | /> |
| | | </svg> |
| | | </div> |
| | | </div> |
| | | </li> |
| | | </ul> |
| | | |
| | | <span slot="footer" class="dialog-footer"> |
| | | <el-button @click="stepDialog = false">取 消</el-button> |
| | | <el-button type="primary" @click="stepDialog = false">确 定</el-button> |
| | | </span> |
| | | <div class="bottom-btn" @click="showNextChange(stepIndex)"> |
| | | <img src="../../assets/images/icon/mouse.png" alt="" v-if="stepIndex != 2" /> |
| | | <svg |
| | | xmlns="http://www.w3.org/2000/svg" |
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| | | fill="#1296db" |
| | | p-id="5069" |
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| | | </svg> |
| | | </div> |
| | | </el-dialog> |
| | | </div> |
| | | </template> |
| | |
| | | stepDialog: false, |
| | | videoPath: "", |
| | | questionData: [], |
| | | stepIndex: 1, |
| | | thinkIndex:1, |
| | | chapterData: { |
| | | isCollectImg: false, |
| | | isCollectVideo: false, |
| | | txtOne: "", |
| | | txtTwo: "", |
| | | }, |
| | | thinkOne: [ |
| | | { |
| | |
| | | const number = this.thinkOne.findIndex((item, index) => index == num); |
| | | console.log(number); |
| | | this.thinkOne[number].isShow = true; |
| | | if(this.thinkIndex <= 2) { |
| | | this.thinkIndex ++ |
| | | } |
| | | }, |
| | | showNextChange(num) { |
| | | const number = this.stepOne.findIndex((item, index) => index == num); |
| | | this.stepOne[number].isShow = true; |
| | | if(this.stepIndex < 2) { |
| | | this.stepIndex ++ |
| | | } |
| | | }, |
| | | }, |
| | | }; |
| | | </script> |
| | | |
| | | <style lang="less" scoped> |
| | | p { |
| | | font-size: 18px; |
| | | text-align: justify; |
| | | } |
| | | .iframe-box { |
| | | width: 100%; |
| | | min-height: 800px; |
| | | border: 1px solid #8281ed; |
| | | border: 1px solid #00a1e9; |
| | | border-radius: 10px; |
| | | } |
| | | li { |
| | | list-style: none; |
| | | } |
| | | .txt-p { |
| | | margin-top: 0; |
| | | border-bottom: 1px dashed #000; |
| | | padding: 10px 0; |
| | | } |
| | | .bottom-btn { |
| | | display: flex; |
| | | flex-direction: column; |
| | | align-items: center; |
| | | justify-content: center; |
| | | } |
| | | .step-num { |
| | | position: relative; |
| | | .step-num-box { |
| | | position: absolute; |
| | | top: 16px; |
| | | left: 13px; |
| | | color: #fff; |
| | | } |
| | | } |
| | | </style> |