名校
1 . 已知函数
.
(1)若
,求
在点
处的切线方程,并求函数的单调区间:
(2)若
在定义域
上的值域是
的子集,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef13030c733ca84463af61776fd01e5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f909328384f9c52134243753d9c954ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f909328384f9c52134243753d9c954ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2 . 命题“存在
,使得
”为真命题的一个充分不必要条件是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b9c1804b022edeb7cd306d7c3f98a8c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc80f38b6d55c82cabe23189b34bd1c9.png)
(1)当
时,求
在点
处的切线方程;
(2)若
在区间
上单调递增,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc80f38b6d55c82cabe23189b34bd1c9.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
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名校
4 . 已知
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d945e3ce190e41126613552d6fbefa7d.png)
A.![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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5 . 若斜率为1的直线
与曲线
和圆
都相切,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/190b9ce555e91dc891a3e80fc776fd1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d61985901c2bc698d72ac88f4e1eb65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.1 | C.3 | D.![]() |
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解题方法
6 . 已知集合
,且
,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9db2fbf67ebdbc3949fb7002c152fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 已知等差数列
的前15项之和为60,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61d0c2cafac96e9aedb6c08c927f5a8b.png)
A.4 | B.6 | C.8 | D.10 |
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解题方法
8 . 设A,B是一个随机试验中的两个事件,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1488419e227c331bcc8354383dd1fbd.png)
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/592e79456108b9cc1e45953353aa8375.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1488419e227c331bcc8354383dd1fbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50a39604477d1d9326eb455cda2e838.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/592e79456108b9cc1e45953353aa8375.png)
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9 . 已知集合
,则图中阴影部分表示的集合为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e147b100e24e6ecbd79c395e5946477b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 已知函数
,若
,则
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571bdbe6e09cf983787cb70c4b811d64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6cc553a81e66a1b15d457aa39a72917.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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