1 . 已知
.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b44e7d4481ba15c14063a19d13eeb63.png)
(1)讨论
的单调性;
(2)若
有一个零点,求k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf06fda29919d61c31119ab933220f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b44e7d4481ba15c14063a19d13eeb63.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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名校
2 . 已知函数
.
(1)若函数
有一个零点,求k的取值范围;
(2)已知函数
,若
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b0849b2ef05aba39b44c0683f91779.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/428d922e63d8a0838da6fdacee919ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecb9a0af43fef8df0f6b72b75216d8d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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3 . 设函数
的图象与
的图象有公共点,且在公共点处的切线重合,则实数b的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e7758616388d36cf211f8022cf24816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d39cebfb063c3e3d0158b174c5c6ac.png)
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4 . 已知抛物线
:
的焦点为
,
是
上位于第一象限内的一点,若
在点
处的切线与
轴交于
点,且
,
为坐标原点,则直线
的斜率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c2f156b05838deaae6a35acad242af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd128a632a41f932e7f2ab7e83e28731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
A.![]() | B.![]() | C.![]() | D.1 |
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名校
5 . 已知函数
.
(1)讨论
的零点个数;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb5023a52800eab386f2ec792f3f1ad1.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f0182398ea974ced026809a18a2777c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 若过点
可以作曲线
的三条切线,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efe9f675499903cdcb72e38e41fd9ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb174514eddfa521364eb0d6ffb8738d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7 . 已知函数
,
.
(1)求
的单调区间;
(2)设函数
,若
存在两个极值点
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a055cc4c78d8f16f166e0691bf6db828.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fd84bb22e1c408b163dd488aa2e8fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.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/aa32cee22e7cbe57c74dde23c901ada6.png)
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8 . 已知函数
.
(1)若
,求曲线
在点
处的切线方程;
(2)若
,试讨论函数
的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13f487ed034c8a86f271f01fef0213c4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aeb9a94e392f6759b18abed89aacc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18419ab2d7cde42b1130e9894dc5b9e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
名校
解题方法
9 . 已知函数
,
,若关于
的方程
有两个不等实根
,
,且
,则
的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52142482df6bbd431d300f011e3ccb12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea0c7fa1d3ab7ceb9621324eec2d72a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8373cd9b2c622f0aa23c5037b347e403.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/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
A.0 | B.2 | C.![]() | D.![]() |
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10 . 已知函数
.
(1)若
,求
的单调区间;
(2)设
,且
在
上有2个零点,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05194fad1426336cca04e516390c67b4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17e30db4b85a520d7353aa36b1e6b1b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a1c92c42188e3b2cb800d1186eab12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41f1f7d06d685fb2dbf2e4c96deb474f.png)
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