1 . 已知
,
,若
,则满足条件的
的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52308f6b2864abcb460a629163c55e25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba22d5c13dfa3c1ea0fce3795002f54a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c70e82ac3992505949c2417e42577333.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2 . 若关于x的不等式
在R上有解,则实数a的取值范围是______ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34884ac6464c1d58acc2ee1e236bd34c.png)
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解题方法
3 . 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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4 . 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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5 . 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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解题方法
6 . 设
,则方程
的解集为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1400dbacae3303c66ccff874b64b61b.png)
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7 . 已知函数
的定义域是
,记
的最大值为
,当
,
变化时,
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3717907f341d37169ce914f953dbad1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7242b2ab643f9470da77e29d043b893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d09a2b7c019dae83e027830b82b3ee8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/ac047e91852b91af639feec23a9598b2.png)
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2023-10-29更新
|
667次组卷
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4卷引用:重庆市第八中学校2024届高三上学期适应性月考(二)数学试题
重庆市第八中学校2024届高三上学期适应性月考(二)数学试题上海市普陀区晋元高级中学2024届高三上学期秋考模拟数学试题重庆市第八中学校2024届高三上学期10月期中数学试题(已下线)专题3 含绝对值的函数问题(过关集训)(压轴题大全)
名校
解题方法
8 . 已知
,设函数
.
(1)当
时,求不等式
的解集;
(2)若
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d5fc7fd80c70bfa9cce9feb8a3f6fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a075dce77c9a6b964a8a3fc1ee6e8c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/665dc334a37e61c356b636604eb0f8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
9 . 已知代数式
和
.
(1)若
,
,求不等式
的解集;
(2)右
,
,证明:
、
中至少有一个数不小于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe56a82278b144101fda1fa2cf59703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c0a82f3b0b621e05cf6e77cddb0628e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404e49c94a0f74954a07d502f8249a84.png)
(2)右
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe56a82278b144101fda1fa2cf59703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c0a82f3b0b621e05cf6e77cddb0628e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
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2023-10-18更新
|
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2卷引用:上海市吴淞中学2023-2024学年高一上学期第一次调研(10月)数学试题
名校
解题方法
10 . 已知
,则下列不等式一定成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9656db3a38e6c58dc5ceb291173053a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-10-09更新
|
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4卷引用:上海市曹杨第二中学2024届高三上学期10月月考数学试题