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1 . 按要求计算:
(1)
;
(2)
;
(3)已知不等式
的解集为
,求解不等式
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f389748dcea360f167193a606282f95.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b74851c94d1071183456e466c711f0.png)
(3)已知不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9be2e014b7dc54bced97cc018153b015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5292f216c5ff1497cd45e07e7d745ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42cbe386426e96fd1985d66d02376991.png)
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2 . 解下列不等式:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a3c031cae52fac4d85624ae6189a4ff.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a3c031cae52fac4d85624ae6189a4ff.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf3a6fcf1a602626f166e6220ab2210.png)
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2023-08-31更新
|
384次组卷
|
2卷引用:江苏省盐城市响水县灌江高级中学2021-2022学年高一上学期期中数学试题
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3 . 设命题:实数x满足
,其中a>0. 命题q:实数x满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f2f22510a9dc1795b245e50de02f050.png)
(1)若
,且
均为真命题,求实数x的取值范围;
(2)
是
的充分不必要条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebff6619f0334a3494d94c6cacf2f2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f2f22510a9dc1795b245e50de02f050.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e26b38e357c7d985656ba7bb3c794a5.png)
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4 . 解不等式:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a1bcc3a8c6b4691b43b2b8b215bb957.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83830df482c538581aef0c823271a03a.png)
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2023-05-26更新
|
1472次组卷
|
4卷引用:1.4.3 一元二次不等式的应用 同步练习 2021-2022学年高一上学期数学北师大版(2019)必修第一册
1.4.3 一元二次不等式的应用 同步练习 2021-2022学年高一上学期数学北师大版(2019)必修第一册(已下线)不等式专题:分式不等式、高次不等式、绝对值不等式-【题型分类归纳】山东省临沂市莒南第一中学2023-2024学年高一上学期9月月考数学试题河北省石家庄同文中学2023-2024学年高一上学期第一次月考(9月)数学试题
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5 . 求下列不等式及不等式组的解集.
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b707b48806d76030d06dcb34d41a077.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bed11ac8578ef4e372edf35e5491451.png)
(3)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b707b48806d76030d06dcb34d41a077.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bed11ac8578ef4e372edf35e5491451.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451b22cf56c04631ed9f57512d882a1e.png)
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2022-11-05更新
|
204次组卷
|
2卷引用:辽宁省朝阳市建平实验中学2021-2022学年高一上学期第二次月考数学试题
6 . 解下列不等式:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cbc6abe0bc3cf3b425d5b81939ec478.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c214d828af4d2d56e5ee6fe4b421283a.png)
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7 . 解下列不等式:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc3bc25b81f107cc405a53ebc74f3df6.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acdbab16c33b78b0565e389a125f4f13.png)
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8 . 已知关于x的不等式
的解集为S.
(1)当
时,求集合S;
(2)若
且
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/672609cd12db2edabaae870940f096ba.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73960df7b5e19b38042cc65a5815689a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92dd957781355fa83f32533436d815f.png)
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9 . 求下列不等式的解集:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f9e6c89b768b05c2e96420813c84c7.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f9e6c89b768b05c2e96420813c84c7.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b089712ce976ed211cf41a2b7e231746.png)
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解题方法
10 . 设实数
,若满足
,则称
比
更接近
.
(1)设
比
更接近0,求
的取值范围;
(2)判断“
”是“
比
更接近
”的什么条件?并说明理由;
(3)设
且
,
,试判断
与
哪一个更接近
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b08899338c9f2c44ebdef85362464982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d3c002f2624d5e8ec59766c609fb74a.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/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1d2e5599453f8d4c04369bc8f79962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b5a9de8a72dda70e3eefeb0a408ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)判断“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/473c6d2b6c01a2490e4bb1cf2dad9edc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbd10df05a8853f42c84c11129f6e2e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ea5e8fdf104e1cc8348c13a3cd1610.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
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