1 . 解下列关于
的不等式或不等式组:
(1)设
,解不等式:
;
(2)解不等式组:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffc05cde4f00587cf3e7d3524b2bddf4.png)
(2)解不等式组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7794539786aff30ed0e24158db88ae6b.png)
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2 . 设二元一次方程组
恰有一组解(α,β), 则方程组
解(x,y)等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65bd6cdc598a67059dc4293a1694dc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3a1e7eed925bba05d687a9d993de75c.png)
A.(3α,3β) | B.![]() | C.![]() | D.(15α,6β) |
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解题方法
3 . (1)解不等式:
;
(2)设集合P表示不等式
对任意x∈R恒成立的a的集合,求集合P;
(3)设关于x的不等式
的解集为A,试探究是否存在a∈N,使得不等式.
与|
的解都属于A,若不存在,说明理由.若存在,请求出满足条件的a的所有值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4792db06e3e32dccdbec06922ee62d3b.png)
(2)设集合P表示不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318b4bc3fd817a8a1731c2168273d876.png)
(3)设关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa93ab2b74e928c5a7f4facabd6e233e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700fa4dfbe1d291042d435778db55f5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b4350e789f1c3ca3c3e67908960b20.png)
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2020-12-07更新
|
267次组卷
|
4卷引用:上海市松江二中2020-2021学年高一上学期期中数学试题
上海市松江二中2020-2021学年高一上学期期中数学试题上海市川沙中学2020-2021学年高一上学期期末数学试题(已下线)2.3 三角不等式(第3课时)(2)(已下线)第二章 等式与不等式(压轴必刷30题7种题型专项训练)-【满分全攻略】(沪教版2020必修第一册)
解题方法
4 . 设全集
.
(1)解关于
的不等式
;
(2)记
为(1)中不等式的解集,
为不等式组
的整数解集,若
恰有三个元素,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
(1)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de90ac59bcff9f91525b40d2018f0c6f.png)
(2)记
![](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/7fbc1d281c186b0ac29ea9c92a1b24c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00c5e00c0716742d29b5814b83e07528.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
5 . (1)解不等式
.
(2)设
表示
的解集;
表示不等式
对任意
恒成立的
的集合,求
;
(3)设关于
的不等式
的解集为
,试探究是否存在自然数
,使得不等式
与
的解都属于
,若不存在,说明理由.若存在,请求满足条件的
的所有的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/160f68000b902eef7c47c95f055c2d04.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee96a17986a05fb4d8afac6ed25af10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa70964576558e912ac311efe800ebe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4afabfd5b4885311f8d9a4bcf791b71.png)
(3)设关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/789bcc64778a85418ac54d41d1798a65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700fa4dfbe1d291042d435778db55f5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc21ccecbbb5acfff1ab104b6b8265f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . (1)化简求值
;
(2)已知函数
,解方程
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc50799ee929b0c85570fb0c41c85ab0.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657cb418750dfbdbdc2a8e3196dfe2e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4237a186118f9c79a5f6c90a29f13bf1.png)
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7 . 解下列各题:
(1)计算:
;
(2)化简
.
(1)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68968d0987aecc346ee94ce661a04b60.png)
(2)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8fbf2f91a1b694d9d6840b08722d0c.png)
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2019-12-14更新
|
468次组卷
|
2卷引用:江苏省扬州市新华中学2020-2021学年高一上学期期中数学试题
8 . (1)求值:
;
(2)解关于x的不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4e8da2aa58dcd65a640cfd86a783ee.png)
(2)解关于x的不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c94c161dc29441bb40cfbbe7c107e7d.png)
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解题方法
9 . (1)解不等式:
;
(2)解关于
的不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae29ecf34e712b7a414f8c1347aefdb2.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f93af2ed9a6ad10249ea14fd0c753f.png)
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10 . 已知函数
,
.
(1)当
时,解不等式
;
(2)比较
与
的大小;
(3)解关于x的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c9ffa84da44c9449e17b09337c0b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
(2)比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2c70fcaa661df4fbcad820b439accda.png)
(3)解关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
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