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| | | <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. |
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| | | <img class="inline2" alt="" src="../../assets/images/xxmb.jpg" /> |
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| | |
| | | <p><span>089</span></p> |
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| | | 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? |
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| | | <textarea |
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| | | ></textarea> |
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| | | <img class="img-gn" alt="" src="../../assets/images/tjfx.jpg" /> |
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| | | >=<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> |
| | |
| | | /> |
| | | </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" |
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| | | viewBox="0 0 20.501 20.501" |
| | | > |
| | | <path |
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| | | 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" |
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| | | width="16.501" |
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| | | <p class="img">图3-17</p> |
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| | | <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. |
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| | | <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? |
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| | |
| | | <li>数学.基础模块</li> |
| | | <li></li> |
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