名校
1 . 已知曲线
与
,下面结论不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af2574349f25cec9c0e9c0f001989ac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef3681fa214c32fcd1a498e3ae441627.png)
A.![]() |
B.![]() ![]() ![]() |
C.不等式![]() ![]() |
D.记点![]() ![]() ![]() |
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2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f743bd3474bea3e10c9205970d7f934.png)
(1)若
恒成立,求a的值;
(2)若
有两个不同的零点
,且
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f743bd3474bea3e10c9205970d7f934.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50c66ed9ac7c9b79a030abf86895ccdb.png)
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名校
3 . 在平面直角坐标系中,如果将函数
的图象绕坐标原点逆时针旋转
后,所得曲线仍然是某个函数的图象,则称
为“
旋转函数”.
(1)判断函数
是否为“
旋转函数”,并说明理由;
(2)已知函数
是“
旋转函数”,求
的最大值;
(3)若函数
是“
旋转函数”,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92fa5f2fb55a2931ba27f3832ce80d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45cc81cfaccc00aa4b7139de5a35a102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6bfcbdc07d9a93da61ad74ffb34cce6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b2a3cb508e543dfedbf35da570c442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-06-12更新
|
543次组卷
|
2卷引用:河南省信阳高级中学2024届高三下学期高考考前测试数学试题
名校
4 . 已知函数
,
.若
,则k的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66d136de0765dadc7de50091fe6335e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b54e116059077988c08fba55b2483c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01338e995c701acdd2d88ac5dc8dd7a8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-09更新
|
341次组卷
|
2卷引用:河南省信阳市新县高级中学2024届高三数学考前仿真冲刺卷
名校
5 . 已知函数
,
.
(1)试比较
与
的大小;
(2)若
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc1b193aa193153eb402df8560778e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da03d776579dde13f36c82b72d21c735.png)
(1)试比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9edd5fb06678dd2cd97d38907b64049.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
6 . 已知
是定义在
上的函数,且满足:①
;②
,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/85a7a12a723fefe508a5d709cf0b29f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f90979dd0ea1ed8f21341806e476c91.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
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解题方法
7 . 已知函数
.
(1)当
时,证明:
;
(2)若
在区间
上有且只有一个极值点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d1560ceea21168a8f266dad592ec3b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be1d8c6384d7fabddb693b2b7fcdf4a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-06-03更新
|
1408次组卷
|
3卷引用:河南省信阳市新县高级中学2024届高三考前第二次适应性考试数学试题
名校
解题方法
8 . 设函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9f049a5f960728c60a909821b2404b.png)
(1)已知
对任意
恒成立,求实数
的取值范围;
(2)已知直线
与曲线
,
分别切于点
,
,其中
.
①求证:
;
②已知
对任意
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9f049a5f960728c60a909821b2404b.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b5178b7395ee353cb63df3028c51f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27c0ab3e2d7698f082854bafe4174dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4197070db34f0419b6d85eed4cec9fc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6270bb08b90f72d5671ab8225f356c43.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f61bb43900bfc8bf7760185b4e0bbb.png)
②已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9268d9bfd0e22baf5956a2d6fb07ed6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/153c6af699ce31b283e79b973e1927af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
9 . 已知函数
的定义域为
,设
,且
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933093b52cca887f597cbe22a5467b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1430d1f29cfef4bae3b2fe23afdc361b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f5db774f39a9c9369b5619130a5544f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fe8f058f40c29252b5f924a859f8422.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
10 . 已知
,函数
恒成立,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2292e05a7b23f1d1820e8adc18f29f38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d35f61845ced816d5e5eea34d9f143c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-05-23更新
|
847次组卷
|
2卷引用:河南省信阳市新县高级中学2024届高三考前第六次适应性考试数学试题