名校
解题方法
1 . 已知函数
.
(1)求函数
的最值;
(2)若
恒成立,求实数
的取值范围;
(3)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d975f2328f11c8ddbb2f1e814788c85.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf15d5dc12f45c0bacf402c97728124c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/350c094513823113225bbb6625529551.png)
您最近一年使用:0次
2022-09-09更新
|
790次组卷
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3卷引用:海南省海口中学2023届高三上学期9月摸底考试数学试题
2 . 已知数列
中,
,若
,则下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ddc35d7559e92fa2a7903db44a0bf7.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
3 . 已知函数
,且
的图象在
处的切线斜率为2.
(1)求m;
(2)求
的单调区间;
(3)若
有两个不等的实根
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f02ec33f2caccc63110feeef0ab275e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec25b105130d71d3d529524671b6218.png)
(1)求m;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70f5b3ed05b816949d8811d5956ae0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d4f5a04663e6ea4d0f183d27a6ba59.png)
您最近一年使用:0次
4 . 已知
,
.
(1)记
,讨论
的单调区间;
(2)记
,若
有两个零点a,b,且
.
请在①②中选择一个完成.
①求证:
;
②求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd58e16598e6bdb3c35194af69951a2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b613d0bfe3fc354b79e35bd80e7392f8.png)
(1)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71607511fdd4faa9e832345ceb2a817d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25dda3572b334c96eb51be1cf438f41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92860378096f519a8fb276d07dbfabce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
请在①②中选择一个完成.
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc69ff68c1dd962c9a3bd835490339c4.png)
②求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7006713e07f57f8caa25e6796a32a3.png)
您最近一年使用:0次
2022-05-20更新
|
462次组卷
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2卷引用:海南省海口市秀英区海口嘉勋高级中学2024届高三上学期开学考试数学试题