名校
1 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a2a540400311fff2fb2c8ed098e82d.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7a45190981deec3afa7fa82e93f8004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2a2a540400311fff2fb2c8ed098e82d.png)
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2 . 若函数
有两个不同的零点,则实数
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f324645c18e86aa94cfb603600aeca38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
3 . 已知函数
,
,若对于任意的![](https://staticzujuan.xkw.com/quesimg/Upload/formula/244af58c69c119a21c512a8ea77e4dac.png)
,使得
恒成立,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d286f10c2662c15a7e6b45394d20f56c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/262077581baf603acf7be972c8afb42e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/244af58c69c119a21c512a8ea77e4dac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032e8dc00cdc96860c9cbf8ac09677fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 . 已如函数
,若函数
仅有一个零点,则实数a的取值范围是______ .(结果用区间表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fffe860819ba190a8de7defa4c168367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039f9392112593405d4c0f1bea7d31f3.png)
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解题方法
5 . 关于
的不等式
有解,则实数
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b021b127a6d00ae353a46bf995427923.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 已知函数
有三个不同的零点
,
,
,且
,则实数a的取值范围是______ ;
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07ffbfce99b6152ce76eac188afeb2a.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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ded52999771182240a44aaa48cf8fc7a.png)
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7 . 已知函数
在
上存在最小值,实数a的取值范围为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2078c4bab43874fa5547c0f62d3c81f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49421af1f449b117d9ffd44e45063106.png)
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8 . 已知函数
,其单调增区间为_______ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5220c1d29955df47343122a463c46a92.png)
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9 . 若曲线
在点
处的切线与直线
垂直,则实数
的值为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa7e5c3fc6cb8a82a25a180398258ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eded821494c706422354dd910a25b1e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5375e9cb3d83b66bba64998de3ad01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
10 . 已知函数
的图象在点
处的切线方程为
.
(1)则实数a的值为__________ ;
(2)设
,若
对任意的
恒成立,则k的最大整数值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9087da83d78b737d7ac90458c171d5e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcc568fbc1480ba87cfdc2b6b3c71200.png)
(1)则实数a的值为
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b034f42a44cb15e6b320f24dd7cdd0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd179a4430d2f13d30bda9a42248ed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
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