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1 . 已知函数
,
(1)当
时(
为自然对数的底),求
的单调区间;
(2)
,(
),当
时,
的最大值为
,求实数
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd3f097bd46318f9f442e44badeb34d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23a36fe2e12bd6d30a6bf5816159d2f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011b7c5ba228ff895e4562e30e5d5936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23a36fe2e12bd6d30a6bf5816159d2f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d435483e913dda7318e4bc6838c861a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2 . 已知
是定义在
上的奇函数,且当
时,
,若
,
,比较大小![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8b8afc7a258f48c267e52788b642bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0adec3f269ad49b2f5b30e587f780566.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07e96c625430681bfd8058a993f00e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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解题方法
3 . 已知椭圆
的左、右焦点分别为
和
,椭圆
上任意一点
,满足
的最小值为
,过
作垂直于椭圆长轴的弦长为3
(1)求椭圆
的方程;
(2)若过
的直线交椭圆于
,
两点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.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/fddc29037a26719130e6548f25a2500a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1c46fcd1c49b5523af44624f57aec97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eedc3420cb964301090179a29b1a958.png)
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解题方法
4 . ①已知椭圆
的左焦点为
,右顶点
,点
在椭圆上,且
轴,直线
交
轴于点
,若
,则椭圆的离心率为____________ ;
②设
分别为椭圆
的左顶点,上顶点和右焦点,若
,则该椭圆离心率为____________ ;
③已知
是椭圆的两个焦点,满足
的点
,总在椭圆内部,则椭圆的离心率的取值范围是____________ ;
④若椭圆
和圆
,(其中
为椭圆的半焦距),有四个交点,则椭圆的离心率的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00da42a827809a52947062ff9df934bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6ce9cb2a356503a970d6466c75b564c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61f4947ae72c574f1dc8b7b2015d3ce7.png)
②设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af260e0d98c95d1e092dc4c6d348e3ea.png)
③已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/122ba80be450e578bef55b932232e884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88f861aa02b8b71a3c525e9705836db7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
④若椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f397053180fc9adea0ad6b0d680fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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解题方法
5 . 已知函数
满足
,且
的导数
,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/803b2de32177f5ebb64b38115356f388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e10df02e0b0fdeaf4a442384350b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d6f393f86b7267badf9846ff7309828.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 下列有关命题的说法中错误的是( )
A.在![]() ![]() ![]() |
B.若命题![]() ![]() ![]() ![]() ![]() |
C.“![]() ![]() ![]() |
D.“![]() ![]() |
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7 . 平面直角坐标系
中,已知
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7795aec93c2c7ac2fd93e6747ca6516c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45b65fd7dc5eb33dd85cd300197b952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cb1121d4ae42fb87bbb32f7abe00ba6.png)
A.1 | B.2 | C.![]() | D.4 |
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4卷引用:江西省赣州市十六县(市)十七校2022届高三上学期期中联考数学(理)试题
江西省赣州市十六县(市)十七校2022届高三上学期期中联考数学(理)试题(已下线)第5章 导数及其应用 章末题型训练-《讲亮点》2021-2022学年高二数学新教材同步配套讲练(苏教版2019选择性必修第一册)广西河池市八校2021-2022学年高二下学期第一次联考数学(理)试题(已下线)专题3-1 利用导数解决切线(公切线)问题 -2
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8 . “
”的否定是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3b92607d83ff8a9ab802d89ff28080d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
9 . 已知函数
,且函数
在
处的切线为
.
(1)求a,b的值并分析函数
单调性;
(2)若函数
恰有两个零点,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef96ff936eb415b1f8fe6b9166d8e89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f84ab02cd41c1c82035e2ca3bb28ca.png)
(1)求a,b的值并分析函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/428f5dd3c79036c795af03587280eef2.png)
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解题方法
10 . 已知命题
,不等式
成立:命题
函数
在区间
单调递减;
(1)若命题p为假命题,求实数a的取值范围;
(2)如果
是真命题,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41aca0333db8f7d68cc5d3e0e24e496d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ec6407171945ff811fc93aaa40bece.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcaf7856274fbbeefd51e45b4512906d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb49dbba01c4ff5f686ffc8828351b2.png)
(1)若命题p为假命题,求实数a的取值范围;
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
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