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1 . 已知
均为实数,且
不同时为零,
不同时为零,则“
”是“关于
的方程组
有无数组解”的( )条件
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34b9b260d98c0d99196999db209ad1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12cc532e48db0ae16b1fdce387386f93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e2ff7768c24467c56fbfc0e11980c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30c1239f4e8173776186da2af2e90894.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b538b883b0dd3db2d4f061af81658c.png)
A.充分不必要 | B.必要不充分 |
C.充要 | D.既不充分也不必要 |
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2024-01-14更新
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163次组卷
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2卷引用:上海市曹杨第二中学2023-2024学年高二上学期12月月考数学试题
22-23高一上·上海·阶段练习
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2 . 设
,关于
的方程组
.对于命题:①存在a,使得该方程组有无数组解;②对任意a,该方程组均有一组解,下列判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50ff67734ba04fe81e324cc1ba8d7176.png)
A.①和②均为真命题 | B.①和②均为假命题 |
C.①为真命题,②为假命题 | D.①为假命题,②为真命题 |
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解题方法
3 . (1)解关于x的不等式
.
(2)设
或![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d865c250cb108736486d76045595da.png)
,从下面给出的集合中任选一个,填入下面的横线上,并解答下列问题.
①
;②
;
(ⅰ)求集合
;
(ⅱ)______,若“
”是“
”的充分不必要条件,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90d787e62884a561b6cfb91285777e4.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0444384d25dddccf1ae5d0a965d301bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d865c250cb108736486d76045595da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ded55acfbf73112d19b2a5790495c221.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb18b6b11fe49d5dfd972d747e31369.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/113232599773a5fa6e4009a3775e3d9b.png)
(ⅰ)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(ⅱ)______,若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
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4 .
,且
.
(1)方程
在
有且仅有一个解,求
的取值范围.
(2)设
,对
,总
,使
成立,求
的范围.
(3)若
与
的图象关于
对称,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a615271711750f4e18797f6c45404a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/221d133bc38df7ae4bf1717cb3ca12d4.png)
(1)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e029124b4cd659d0596a955e6b93ce5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8284604d4499d6ee65dbefed20c7800f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b324aceadfd941605fa757a5ea014c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e21dc6fe0ae3b5c607b274227b547e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a58a804ac94af91bb076b7bf3184a24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6154e00013d9dee84c0e941f676ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28dd80f024a2ad50d7d5838a1cd80c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb89f9fa268fc91676108a58c29e114.png)
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2023-05-21更新
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1195次组卷
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6卷引用:辽宁省沈阳市第十一中学2022-2023学年高一下学期4月月考数学试题
辽宁省沈阳市第十一中学2022-2023学年高一下学期4月月考数学试题江西省吉安市双校联盟2022-2023学年高一下学期期中考试数学试题(已下线)专题5.9 三角函数全章八类必考压轴题-举一反三系列(已下线)专题5.4 三角函数的图象与性质-举一反三系列(已下线)第七章 三角函数(压轴题专练)-单元速记·巧练(沪教版2020必修第二册)(已下线)模块四 专题2 重组综合练(江西)(北师版高一期中)
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5 . 下列命题是全称量词命题且为真命题的是( )
A.![]() |
B.![]() |
C.所有圆的圆心到其切线的距离都等于半径 |
D.对任意![]() ![]() |
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2023-10-31更新
|
113次组卷
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2卷引用:云南省曲靖市会泽县实验高级中学校2023-2024学年高一上学期9月月考数学试题
6 . 分别指出下列各组命题构成的
,
,
形式的命题的真假.
(1)
,
;
(2)
梯形的对角线相等,
梯形的对角线互相平分;
(3)
函数
的图象与
轴没有公共点,
不等式
无实数解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5e7ec405309048d4d6a27c444598c4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3607633dfb585751238a509438c49c3d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af1d85392bd7b1b1150e96e3240bc804.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c230cfd85c211ef4d18b2fcabc693a6.png)
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解题方法
7 . 下列命题错误的是( )
A.“![]() ![]() |
B.已知![]() ![]() ![]() ![]() |
C.命题p:![]() ![]() ![]() ![]() ![]() |
D.不等式![]() ![]() ![]() ![]() |
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8 . 已知函数
,
,
(1)设命题p:
,
,若p为假命题,求实数a的取值范围;
(2)若实数
,解关于x的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/292e5a87aa55cb188481c503788622f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)设命题p:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8645952ea14b25443f411d39bdec641e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(2)若实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/932f2ed8c04c0acca4718b1f82187b38.png)
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9 . 已知
.
(1)分别求出
中关于
的不等式的解;
(2)当
时,若
是
的必要且不充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773602300ec1703ba1b04dcb3d534b96.png)
(1)分别求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df7b5582e1931243dbb90b7591137f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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10 . 已知
.
(1)求证:
是关于x的方程
有解的充分不必要条件;
(2)解关于x的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7b183b9a8ddd53a2930f33cf07cb47c.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
(2)解关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57458464618fcf619375a93d3c66d69.png)
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