已知函数
.
(1)求曲线
在点
处的切线方程;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0fe7bbc9dac37c7717e5137168acc63.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
更新时间:2023-07-09 11:43:05
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解答题-问答题
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【推荐2】已知函数f(x)=lnx﹣x+1.
(1)求曲线y=f(x)在点(1,f(1))处的切线方程:
(2)若非零实数a使得f(x)
ax
ax2
对x∈[1,+∞)恒成立,求a的取值范围.
(1)求曲线y=f(x)在点(1,f(1))处的切线方程:
(2)若非零实数a使得f(x)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e119c508fd265e3e3d78749e54fe4f43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5743a3bf50e8146f519a7b4f32a958b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d751f391175483e2a355b5cb21cd9.png)
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解答题-证明题
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适中
(0.65)
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【推荐1】已知函数
.
(1)当
时,求函数
的单调区间;
(2)设函数
有两个极值点
,
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d214ed7308503b37628753660ffdb4a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd3d3fb519d09d997d18413c20a319df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20571bf5d17d43c5ba1bb0b060d45c0f.png)
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解答题-证明题
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适中
(0.65)
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解题方法
【推荐2】已知函数
.
(1)若函数
在
上为单调函数,求
的取值范围;
(2)已知
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a862395a599baca80adeb28d029673a.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2ec965488c7e1cea085463c7731285.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df7b5582e1931243dbb90b7591137f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2798e0f1e07762b14ee08df80dbfbc29.png)
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