名校
1 . 已知不等式
的解集是
.
(1)求实数
的值.
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c64aadb3f6c4fd734de4a50ec93347d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3432701dcc6000f25c5ea3a7937f2e7e.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fc9b0e74831ec5605976bf54d697d9e.png)
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解题方法
2 . (1)解不等式
;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e35f874f2c74d693c6bfbe8ec461990.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8495da9a91bf7bfa549ca3aa4b496f37.png)
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2024-06-04更新
|
802次组卷
|
2卷引用:安徽省马鞍山市第二中学2023-2024学年高一上学期期中测试数学试卷
3 . 求关于x的不等式的解集:
(1)已知集合
,则求集合P;
(2)设数轴上点A与实数3对应,点B与实数x对应,已知线段AB的中点到原点的距离不大于5,求x的取值范围.
(1)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32cde9476fe8509f06a9de1a303b03bb.png)
(2)设数轴上点A与实数3对应,点B与实数x对应,已知线段AB的中点到原点的距离不大于5,求x的取值范围.
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解题方法
4 . 已知函数
,a为常数.
(1)若
,解关于x的不等式
;
(2)若不等式
对任意的
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a20dcfe33fa7e7eb86ab327ad0cbe9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2e0bb6d63b7bcaee92a470d58cc399.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8db84cfa717691e236cdaa76d2be1fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
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名校
5 . 已知
,
,求
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/296433b1ee20853e162004691d4553d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c38a1b31c3e14ad6fba83706d7dc344f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83ae18508906c21d3e1199f231b1a9a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42bb7ec47df0efa4c66b5dc4e70c75d8.png)
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名校
6 . 下面命题正确的是( )
A.“![]() ![]() |
B.命题“![]() ![]() ![]() ![]() |
C.不等式![]() ![]() |
D.设![]() ![]() |
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7 . 不等式
的解集为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f733c14251224dbcd3861b71b56f40f.png)
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8 . 若集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c12fb338ab330097e0a475a949fd6fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5008888976c5b3f4720b31c1a0baa140.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
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9 . 计算题
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1334b6e3d54eb54993c416c4ad5028b2.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f124e55051129f1b7e837ab77e543b14.png)
(3)解不等式
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1334b6e3d54eb54993c416c4ad5028b2.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f124e55051129f1b7e837ab77e543b14.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd5a6cf2073dcef7a92a85f516a963d.png)
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名校
10 . 已知
是定义域为
的奇函数,且
时,
.
(1)求函数
的解析式,并写出单调区间(无需证明);
(2)当
时,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667a9061d47a7dbf918b1599ff519d5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a7eca60c5c1e4bbdc3e44991203ec51.png)
(1)求函数
![](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/7f8c55458b5cfe3af656316a72fe1e72.png)
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