1 . 设
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8c0812eed0f9a72c94652e5fba5157.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfa9081d42f39ed5e13b6c10b3d3b2a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e3a683b28a88fae17191948e1738036.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 下列命题为真命题的是( )
A.若![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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解题方法
3 . 已知奇函数
在
上可导,其导函数为
,且
恒成立,若
在
单调递增,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18063efe6a2ddf0f27f0e63cb678782b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
A.![]() ![]() | B.![]() |
C.![]() | D.![]() |
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2023-10-01更新
|
296次组卷
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2卷引用:山东省菏泽市2023-2024学年高三上学期11月期中考试数学试题(B)
名校
解题方法
4 . 若命题“存在
,使
”是真命题,则实数
的一个可能取值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03bb7cf41c99fad82a1f964f7c70280a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-10-01更新
|
178次组卷
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3卷引用:山东省菏泽市2023-2024学年高三上学期11月期中考试数学试题(B)
5 . 已知函数
,
.
(1)设函数
在
的切线方程为l,l与x轴,y轴分别交于A,B两点,O为原点,求
的面积;
(2)当
时,求证:
;
(3)求证:
在
上有且仅有两个零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e83b2b3d571ba6c8567172ef70da6bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4cbc7b067862a3d9c6789b392fc068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b129a86f37fbbdf5a5808f13924e819f.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4b49d457a11e6ddb789f5027dcd1491.png)
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6 . 已知函数
.
(1)讨论函数
的单调性;
(2)令
,若对于定义域内任意的x,
恒成立,求实数a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b199e51d90801d7a7047594c56d993c9.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c765461ae1a6c70f5cbdcb6c932a22b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85187c85826beeca12137805293fff77.png)
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解题方法
7 . 已知函数
是定义在R上的可导函数,对于任意的实数x,都有
,当
时,
.若
,则实数a的取值范围是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d067e33ee623791c35f58b0b3b88df5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e7a394c0580fa90e64695a1b270587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e361d5d4719a28b2faf9f0aebd95833.png)
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2023-09-30更新
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342次组卷
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2卷引用:山东省菏泽市2022-2023学年高三上学期期中考试数学试题(B)
8 . 若命题“存在
,使得
”是假命题,则实数a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbff3170097b2d504affee5a0038938.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86474b8b559afef08fa4ea228f84b77e.png)
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名校
9 . 已知命题
,
,则( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a44bef5e2df41b92f8aa7319710f79de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c3db656d38d06f65b11b0e9d429e27e.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2023-09-30更新
|
200次组卷
|
2卷引用:山东省菏泽市2022-2023学年高三上学期期中考试数学试题(B)
名校
解题方法
10 . 已知
:“
,
都有意义”,
:“实数
满足
”.
(1)若
为真命题,求实数
的取值范围;
(2)若
是
的必要不充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d41fbe7c0a60ae453c47bc897de0e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59ad5098612d05a91ade1781f37bbe15.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-09-29更新
|
315次组卷
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2卷引用:山东省菏泽第一中学2022-2023学年高一上学期期中数学试题