函数
在区间
上的平均变化率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7f9b35017daa8b524c5717a355834a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
更新时间:2023-05-02 17:52:55
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【知识点】 平均变化率
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【推荐2】知识点二 函数的平均变化率
对于函数
,设自变量x从
变化到
,相应地,函数值y就从
变化到
.这时,x的变化量为
,y的变化量为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03d9fb03d75c63e426c3c169d9844b7f.png)
________ 我们把比值
,即![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6989eef65f4476379f1a16f30cf5b1.png)
叫做函数
从
到
的平均变化率.
对于函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d47db6b322f19cefcd70d0f8433917f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7417645b760b0e03cfe0bcdaa6a1d93e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d807ae26a784ed501d17c49adb96750.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1268e217016ff7e12b9bc51341c4cde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03d9fb03d75c63e426c3c169d9844b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1fde86bac61c7b0b0698580f7675a1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6989eef65f4476379f1a16f30cf5b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f29cd82a9de670075d0ac5727e52b3e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d47db6b322f19cefcd70d0f8433917f0.png)
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