幂函数
2023-05-21 10:02:05 8 举报AI智能生成
幂函数
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第一象限单调性
<span class="equation-text" data-index="0" data-equation="\alpha<0" contenteditable="false"><span></span><span></span></span>, 单调递减, 以 <span class="equation-text" contenteditable="false" data-index="1" data-equation="y=\dfrac{1}{x}"><span></span><span></span></span> 为代表
<span class="equation-text" contenteditable="false" data-index="0" data-equation="0<\alpha<1"><span></span><span></span></span>, 上凸递增, 以 <span class="equation-text" data-index="1" data-equation="y=\sqrt{x}"><span></span><span></span></span> 为代表
<span class="equation-text" data-index="0" data-equation="\alpha>1" contenteditable="false"><span></span><span></span></span>, 下凸递增, 以 <span class="equation-text" data-index="1" data-equation="y={x}^2"><span></span><span></span></span> 为代表
奇偶性
<span class="equation-text" contenteditable="false" data-index="0" data-equation="\alpha"><span></span><span></span></span> 为整数
<span class="equation-text" data-index="0" data-equation="\alpha"><span></span><span></span></span> 为奇数
<span class="equation-text" contenteditable="false" data-index="0" data-equation="y=x^\alpha"><span></span><span></span></span> 为奇函数
<span class="equation-text" data-index="0" data-equation="\alpha"><span></span><span></span></span> 为偶数
<span class="equation-text" data-index="0" data-equation="y=x^\alpha"><span></span><span></span></span> 为偶函数
<span class="equation-text" data-index="0" data-equation="\alpha" contenteditable="false"><span></span><span></span></span> 为既约分数 <span class="equation-text" contenteditable="false" data-index="1" data-equation="\dfrac{q}{p}"><span></span><span></span></span>
<span class="equation-text" contenteditable="false" data-index="0" data-equation="\dfrac{奇数}{偶数}"><span></span><span></span></span>
非奇非偶
<span class="equation-text" contenteditable="false" data-index="0" data-equation="\dfrac{奇数}{奇数}"><span></span><span></span></span>
奇函数, 以 <span class="equation-text" data-index="0" data-equation="y=x^3=x^{\small \frac{3}{1}}"><span></span><span> 类比记忆</span></span>
<span class="equation-text" contenteditable="false" data-index="0" data-equation="\dfrac{偶数}{奇数}"><span></span><span></span></span>
偶函数, 以 <span class="equation-text" contenteditable="false" data-index="0" data-equation="y=x^2=x^{\small \frac{2}{1}}"><span></span><span></span></span> 类比记忆
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