名校
1 . 设
为曲线
(
)与
的公切线的一个切点横坐标,且
,则满足
的最小整数m的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec205dd821e251510f265bd53cf62526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be206d66e65eb92ef08bad8cd8f71d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a4e0d114afe36b3ad5eaac27ddee8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faaabec6c610fbd16cee2abb79a8ab66.png)
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名校
解题方法
2 . 设f(x)=xex﹣ax2﹣2ax.
(Ⅰ)若y=f(x)的图象在x=﹣1处的切线经过坐标原点,求a的值;
(Ⅱ)若f(x)存在极大值,且极大值小于0,求a的取值范围.
(Ⅰ)若y=f(x)的图象在x=﹣1处的切线经过坐标原点,求a的值;
(Ⅱ)若f(x)存在极大值,且极大值小于0,求a的取值范围.
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3 . 若函数
的图象上存在不同的两点,使得函数的图象在这两点处的切线的斜率之和等于常数t,则称函数
为“t函数”.下列函数中为“2函数”的是
①
②
③
④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/594a80b780fbb729ebf7812d9a63c6f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7028a5fa4d781d382ca3b73b74796e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7028a5fa4d781d382ca3b73b74796e.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4296486c32ddf135eab6bf374594fe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/484bcff64495e334aebaecc65eceb679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eaf693219fef9a0e643cd8d01135b20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/594a80b780fbb729ebf7812d9a63c6f7.png)
A.① ② | B.③④ | C.①③ | D.②④ |
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