名校
解题方法
1 . 已知关于x的函数
和
.
(1)若
,求x的取值范围;
(2)若关于x的不等式
(其中
)的解集
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce81be7dbac1bd6ad7b3b6be3c2d423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f28b848513cf03ef4bd4bddfd49800f6.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df86b0da538701c08fb214608e062372.png)
(2)若关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5e74c814429bbef147280ecd517ffd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e419fd930ea3b349e70d35de4380cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e383eff7191e3bbe549027ef71382aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72b3185579edda8ea518daf2be3e0d30.png)
您最近一年使用:0次
解题方法
2 . 已知关于的x不等式
.
(1)若
时,求不等式的解集;
(2)若
,解这个关于
的不等式;
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4400a69e0d64486c03ef71f2af62f605.png)
,
恒成立,求a的范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccf5447fc522ced06f7cc892169d54f0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4400a69e0d64486c03ef71f2af62f605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00879cffccc124857ca755a8c345e45f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8507213545e3bb0893aca604a5598c9f.png)
您最近一年使用:0次
2023-10-14更新
|
488次组卷
|
3卷引用:天津市弘毅中学2023-2024学年高一上学期过程性诊断(1)数学试题
天津市弘毅中学2023-2024学年高一上学期过程性诊断(1)数学试题(已下线)单元高难问题02函数恒成立问题和存在性问题-【倍速学习法】天津市静海区北师大静海实验学校2023-2024学年高一上学期第二次阶段检测(期中)数学试题
名校
解题方法
3 . 已知集合
,
.
(1)当
时,求
;
(2)若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b2ec30d60b6e04e4f3348b9513d739a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d2de7fd0c26140e08600774378dca2a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5051aa6f5c042fbc0fa946193c8b97b9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
您最近一年使用:0次
名校
解题方法
4 . 关于
的不符式
;
(1)若
,求不等式的解集.
(2)若
时,不等式
有解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c75e3402db21bb06d9ef4938c166d5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a985b13543f119e719dfe90d1113ba8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2bd4d15b900f9ce917264c30af1810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
5 . 已知集合
.求:
(1)
;
(2)
;
(3)若集合
,满足
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a00f29e20cf3af59dd767b5bc711d816.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9c914948743eecba25f00a6741de6fe.png)
(3)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c78f5e80fc893b2cb0e40fa127060d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438a4fbc4db6a280ed1f2cde04105b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-10-12更新
|
171次组卷
|
3卷引用:北京市第二十五中学2023-2024学年高一上学期10月月考数学试题
北京市第二十五中学2023-2024学年高一上学期10月月考数学试题天津市西青区杨柳青第一中学2023-2024学年高一上学期11月第一次阶段性测试数学试题(已下线)第二章 一元二次函数、方程和不等式【单元基础卷】-【满分全攻略】(人教A版2019必修第一册)
解题方法
6 . 集合
,集合
,集合
.
(1)求集合
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ea29ce1eca44159752beae84b5dc65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d8b775ac4d27af1bc62d3fb5dde3a7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a3478017419ab9c430e91185c39b81.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79fa35d8994545971a6cc2f864242081.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9b19e8ecf30ff55c093c894f78b742.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
7 . 已知全集为
.
(1)求集合
;
(2)设不等式
的解集为
,若“
”是“
”的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ac4cdae0d3d95096aa8055266034cd.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)设不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f329aa0d390c725f6d410692eb9a7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3eb5935678e432e6f1f3180bfdb3175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
8 . 已知二次函数
(
,
,
为实数).
(1)若
的解集为
,求不等式
的解集;
(2)若不等式
对任意
恒成立,求
的最大值;
(3)若对任意
恒成立,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d5e308cd5469e0f28a8d75f79903f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e045220e5071c3a7adc357816db322.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25e72f73a14e6449fe4a18bd0fa9b739.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0725b62bfc941e064258af9bafa19f02.png)
(3)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2c12e88da8ed54f60d7450f3d5a38b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
您最近一年使用:0次
名校
解题方法
9 . 已知函数
为偶函数.
(1)求k的值;
(2)设函数
,若
,
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33992dd6d5cfa90a3684e905a989084c.png)
(1)求k的值;
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59487f800cdb4dae542e964385ffe0c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b7ed14eebfeff00a1879479c0ac0878.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fa38ca27c6c0c40d5e36b2ae4fb7ba7.png)
您最近一年使用:0次
解题方法
10 . 已知集合
,
.
(1)求
,
.
(2)已知集合
,若满足______,求实数
的取值范围.
请从①
,②
,③
中选一个填入(2)中横线处进行解答.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12ce1b3495d5a7564fdc2fe9a03af75d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad036b60b8b53131ade79331b0044a12.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d19598537de95fa02534b1e9b467d1.png)
(2)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe52dfaa741ab8efb95bf7a34f4a261.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
请从①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abba08db8487f7d3b27d4645a5388b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55cb5e12b9bf4ded4a81965fe31e7f69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e968937d457d9e2237b401077ff224a.png)
您最近一年使用:0次