名校
解题方法
1 . 已知a,b,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0097ca400d4619a94c4282c1ef6ec68e.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
您最近一年使用:0次
2024-01-25更新
|
361次组卷
|
2卷引用:广东省东莞市2023-2024学年高一上学期教学质量检查数学试卷
名校
解题方法
2 . 对于直角坐标平面上的两个点
,记
.
(1)若点
在函数
图像上,点
的坐标为
,求满足
的
的集合;
(2)若
,点
是直角坐标平面上的任意一点,求
的最小值,并指出取得最小值时的点
的集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1325c6fe42a9e5c04520d8a9bb6821b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bea37e25ba5e11e5e2c428996f74e5a.png)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f109ad046f362d8686c7ef9810c568.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e212cdbfba6610bc55df2c1a737407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2c8de1be050c4e85cb38fb9469d8bc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38474f40683e9d74b215f84a1fcf9434.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca9a016fd7021b9e9625c8d5f0938ad6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/293002d13a59f34dc75c1e9b16958cc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca9a016fd7021b9e9625c8d5f0938ad6.png)
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名校
3 . 下列说法正确的有( )
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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4 . 设集合
.
(1)若
,试用区间表示集合
,并求
;
(2)若
,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20eca97f66730b2ed0c1bdad2fe0367d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3320a13248a3a1208ff6ee85c9d26f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ebaa32f4f1f4f807ca9aeb7fb29951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a625666afb6f983fe722af3e2fa07354.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7079eec837de4dc4279f66e3668dc499.png)
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5 . 已知函数
的定义域为
,其中
为常数
(1)若
R,讨论
的奇偶性,并说明理由
(2)当
时,求方程
的解集
(3)当
时,解关于
的不等式
,并写出解集(结果用字母
表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2faf272c620bc8d77217893572bcebb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a6d85799453899836bc34ad276ec80e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fb864dd7a89c9f98739eb6abec56cf9.png)
(3)当
![](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/f46461b4f2db7b3e690a95b575b12151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
6 . 已知
且
、
都不等于
,则下列不等式不一定成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d95ce635f3c8c02d61c1db0c8c2bce1.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/bdaa19de263700a15fcf213d64a8cd57.png)
A.![]() | B.若![]() ![]() |
C.![]() | D.![]() |
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名校
解题方法
7 . 已知函数
.
(1)解不等式
;
(2)记函数
的最小值为
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e63641a0b5d0a1d5199a254bf39445.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4509817be39bef4bcde115996ee39e8.png)
(2)记函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e9bfb03a784d710f225cc90d30919fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c925be255ca736a53b24d13ddede1a86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83427835b4ef22278d1a2383e65c5ecd.png)
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8 .
,记
为不大于x的最大整数,
,若
,则关于x的不等式
的解集为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f2754b3b1dad0794ec35a1771e1453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50af11c345056215054f7cfe679939da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f99d9c1529498d285e3457470c3eac.png)
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2023-12-29更新
|
323次组卷
|
2卷引用:江西省宜春市宜春中学2023-2024学年高一上学期期末数学试题
名校
9 . 对任意实数
,若不等式
恒成立,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48d1fa57de00aa22ed14e8326ffc5238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
10 . 已知二次函数
的图象过原点,且
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bd0587f5d6a3b5db9e4a93e0dbc0ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec2c68c0a7c6fd2999591f028bc50fed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54bd888bfb31bdd6cddc28e687304406.png)
您最近一年使用:0次