名校
1 . 已知关于
的函数
,其中
.
(1)若不等式
的解集是
,求
的值;
(2)当
且
时,解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3de5f87b3d136b15866b1fe9ccff3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73254f32b6da29ecc32df2e9f87a4c97.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea7b4b6431e5ffd783ea295c875ca895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
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名校
2 . 已知关于
的不等式
.
(1)若
,求此不等式的解集;
(2)若不等式的解集是
,求
的值;
(3)若
,求此不等式的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a833407badb645a4b58454d94e2d05b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b9e4482d04df0494d2e93473132b7e8.png)
(2)若不等式的解集是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a217eb89efc6814824251720261d9969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a7bb2271f0c1ae6f267beff842fcc44.png)
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名校
3 . 若不等式
的解集为
或
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/765f521fa075140051199a3e1908fa91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7de7d127c8ed934358d4fd9ab67205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5806497d3b5ec15d89eef8202d54d7a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
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2023-11-25更新
|
224次组卷
|
2卷引用:北京市顺义牛栏山第一中学2023-2024学年高一上学期期中考试数学试题
名校
解题方法
4 . 已知函数
,其中
.
(1)若不等式
的解集为
,求a,b的值;
(2)已知
,若
,使得
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524f6a4fe8a4fadf5cdd2a0f16109646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf76b4073ae6950540bad28b4a77846.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8ad78249d5238ad8aa5920e99ba91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2939abf9f1755ea304eeb1e73063cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b77e2981642e70dcc15cc090033026e9.png)
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5 . 若不等式
的解集为
,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8023e1902803a7939d2aa32ba9e2d44f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dba74f74918fb5aeb421d92d160b9ffe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc469cfdd38bc92e46066e0422088c5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-11-09更新
|
378次组卷
|
2卷引用:北京市大兴区2023-2024学年高一上学期期中检测数学试题
6 . 已知函数
的值域为
,且关于x的不等式
的解集为
.则有如下结论:
①
;
②函数
图像与直线
的两个交点之间的距离等于6;
③若关于x的不等式
的解集为
,则
;
④
的值与
的大小有关.
其中所有正确结论的序号是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63aaa178677e179fd17fb87877ccb38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8acd04f62bbce37e384254b337d24620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34a2d1f0df2c0a8fae29b0117bdd7ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba18457e072ac06b381c3f73c90ba9b3.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54dd96cd4dd5d6d7dd660c00e443bbaa.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/008e80e33ba7b182a6d82862fadc8009.png)
③若关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585080b717e145c729881a42b4dd533b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88cadcbd692b0b44dac4bc2bf2bf2759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8503e2b6f81cb4c978a21a71ac5ef840.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
其中所有正确结论的序号是
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7 . (1)求关于x的不等式
的解集;
(2)若不等式
的解集为
,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa81c2bdc9d4dfa3d747fc53e263b1d0.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa81c2bdc9d4dfa3d747fc53e263b1d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f114df5ceabdb7e5fd3fdad4eaf056.png)
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解题方法
8 . 设集合
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ecb177af383bab1217fdab7cc2274c.png)
(1)求集合
;
(2)若不等式
的解集为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19c234e8ee1147d4932c2d81beedce39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ecb177af383bab1217fdab7cc2274c.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ed06565c5846232f4b455a1f5f21712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
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9 . 已知不等式
的解集为
,则
的值分别为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfb56d9418f1a3cb2baa6b0c862010ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/739b1f8c522d8e774f003b1a0ed25592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a475fec8ded321e10a6697319fb975.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
10 . 关于
的不等式
的解集为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e3af3ede0b0e77738418dce38e018c.png)
(1)求实数
值;
(2)若实数
,满足
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df78bc3009e4853ddf5a08dd72a739c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e3af3ede0b0e77738418dce38e018c.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
(2)若实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4743ec9c1fee6d4685fb9f959458300.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d749a949eca41d5ad485b76f5957fc56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57f879f6e8df7d5fb261328806260b3.png)
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