已知函数
,
.
(1)当
时,求
的极值;
(2)当
时,设函数
的两个极值点为
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69fa74abdd16494cb8a5ab3acdf1a0c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08290af79305df59bc0a1fc2b7c4f7c5.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b624d88827e92e12bc0a8f1067cbe72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f41c6b9fa72109ba69163a5c6b7874a2.png)
![](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/b28043e7a186ba6ce80ed2570ece7812.png)
22-23高三上·江苏南通·期末 查看更多[3]
更新时间:2023-01-20 11:16:05
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解答题-问答题
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较难
(0.4)
【推荐1】已知函数
.
(1)求函数
的极值;
(2)若
在
上有且只有一个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec5e31e8868b083637b9b070e785d9a4.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca4be345087f993a4078e16c16608e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4318a47d7e83d587e74bab4d3d1f6883.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)
解题方法
【推荐2】设函数
.
(1)当
时,求曲线
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(2)当
时,求函数
的极大值和极小值;
(3)当
时,证明存在
,使得不等式
对任意的
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be25af305bf18f9a149d8ef1bf64af52.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea9824af71c9da5db5a00ec06063024.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2584d4e78881413d8ddd1ec84011db2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72798826461ed4e4053ab85befa7e51e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1fe5ea0d7eb6fcf7bb3b8fdab205f69.png)
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您最近一年使用:0次
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(0.4)
名校
解题方法
【推荐3】已知函数
,
.
(1)若
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的极值;
(2)若关于
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(3)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907513115f2d1cc8f7ca6853123e25a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3471484b64504fc545398f52be830010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b20cd87992dea84e5d1e5d521895b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91a1321266f652ea37ae0fe7c1a3faf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6330de640d51bb3970813289a4de3a5d.png)
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【推荐1】已知函数
(
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为
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(Ⅰ)求函数
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(Ⅱ)当
时,若存在不相等的实数
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50cb62fe10c5b708bb2ecd9abd9b6e66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
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(Ⅰ)求函数
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(Ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.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/859458471c86ae39e0cc42d2d960d03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3951a7bf1d9ca025aeef96c5c60411bd.png)
您最近一年使用:0次
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(0.4)
名校
【推荐2】已知函数
.
(1)求函数
的单调区间;
(2)若函数
有两个正零点
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2415abb19a106e0e48d203b867f1d0a.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff60eab72de85437e12806474281612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2645db078b64a745b3a933b98a55b684.png)
您最近一年使用:0次