解题方法
1 . 已知函数
的值域为
,若关于
的不等式
的解集为
.
(1)求实数
的值;
(2)若
,
,
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18e3097ff28d9e001fcca8fb7daba974.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/962dba16e9f5129df453497cee42266e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a3c4af7b1f2fca39543a84d1ec4d3e7.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7324eb84ef5685b4a0fd7866858025d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940cc317d3f10a0890f559b1b09700ad.png)
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解题方法
2 . 已知集合
,
,
.
(1)求
;
(2)若“
”是“
”的必要不充分条件,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2b64f540708a9f310e46c5481cb94d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a908815a19e801f4ea13f12e91b47a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6adf15f9dacbdc63ff2c8a3655c940ef.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3eb5935678e432e6f1f3180bfdb3175.png)
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3 . 已知集合
.
(1)若
,求
;
(2)若
,设命题
,命题
.已知命题
是命题
的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd348db6b20764f3e5c9bac77f8bf91.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9ecabaa402a3ec070d6e1ca76885dc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc11e9183ffccd297df4a1c18618bae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218c5309e534904dc6bf768074965239.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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2023-12-20更新
|
198次组卷
|
2卷引用:江苏省无锡市玉祁高级中学2023-2024学年高一上学期期中考试数学试卷
解题方法
4 . 已知函数
(其中
,
).
(1)若不等式
的解集为
,求
的值;
(2)当
,
时,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b761f724ef35b33ebd4bbbc9cdd640bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19339e3904e9541ff26b30ae5f1242b2.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bad9a4a9365dc43f23c27b9a64426a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3a34d6f60032718820c3da2b07786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f06408895febc126c2ae409e807349c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
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解题方法
5 . 已知二次函数
,其中
.
(1)若
,解关于
的不等式
;
(2)若
且不等式
对一切实数
恒成立,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bd0587f5d6a3b5db9e4a93e0dbc0ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3eb9b6fe8959ae9e71e857b6d6fed49.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d0ea451f7feb1e03c1e31086e7db461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15d40a6f559b5d1c71216768c10445f.png)
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解题方法
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e0f2426b905cc515060957347f6286f.png)
(1)若
的解集为
,求实数
,
的值;
(2)对于
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e0f2426b905cc515060957347f6286f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98d9b5fc451f141f08296018610ef9c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81a443fb52262083a1f25237a202ab37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11fb9ac0b96339158f8340431e2d67a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd205d07371743a87ff3c985aafcf06a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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7 . 解下列不等式并将结果写成集合的形式:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e011b337fdb8459ca5006b772136c039.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65799fb8b64223705661942b9b1c8871.png)
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名校
解题方法
8 . 下列说法正确的是( )
A.函数![]() ![]() ![]() ![]() |
B.函数![]() ![]() |
C.函数![]() |
D.若不等式![]() ![]() ![]() ![]() |
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名校
9 . 已知二次函数
满足下列两个条件:
①
的解集为
;②
的最小值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
(1)求
的值;
(2)求关于
的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bac56c00653686607e3cabe3b2070fb.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac55d420e554e9a8352c1523a3e0043e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
(2)求关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602436ed2a5b17a068d373cbcf88e114.png)
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10 . (1)计算
.
(2)已知
,解关于
不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f466507474ebd6869b6cbfc54cc90cf5.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb1da557e4c2beb847e7912df08d772c.png)
您最近一年使用:0次