设函数
,且
.证明
:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1c7f8eeb730a8e5b637fbfa06c33d1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcc090ce6547837d4a87c77963c55910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/612a165114e1abf0c08e2087859fb0d8.png)
2024高三·全国·专题练习 查看更多[1]
(已下线)专题8 导数与拐点偏移【讲】
更新时间:2024-05-25 21:46:52
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相似题推荐
解答题-问答题
|
较难
(0.4)
【推荐1】设函数
(
,
为自然对数的底数).
(1)证明:当
时,
;
(2)讨论
的单调性;
(3)若不等式
对
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41ba11ac721bbc17db119c2183aae731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
(1)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(2)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(3)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab42740d8f095b5f7825d14c4c312096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/737c165baced95d7095d9f918a9cc110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解答题-问答题
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较难
(0.4)
名校
【推荐2】已知函数
.
(1)若
在
单调递增,求
的范围;
(2)讨论
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2701429b42a3c546abfcfa8a6511d5aa.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a7a4a037a4dfe973f1eb683d93d799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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解答题-证明题
|
较难
(0.4)
名校
【推荐1】已知函数
.
(1)若
在区间
上有极小值,求实数
的取值范围;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caff0507811f9ec0ced836de452684ef.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2763b57a7399653fbded5264f0cee150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/974974d358d700a531c63fcea412d9b7.png)
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解答题-问答题
|
较难
(0.4)
名校
【推荐2】已知函数
,
为函数
的导函数.
(1)讨论函数
的单调性;
(2)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdf00355264b2e08b1cf71b601f4a48c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07a9c6e50346f506758635274684eca5.png)
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