解题方法
1 . 已知二次函数
,
.
(1)若函数
是偶函数,求实数
的值;
(2)若
,求不等式
的解集;
(3)若函数
在区间
上具有单调性,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4bc22c9795dd0dc317cc6ab96550f9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7a1d739890a8951586e23b78b035bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0530e48690edc3429da2d23c25151296.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2 . 解下列不等式:
(1)不等式
的解集
(2)不等式
的解集
(3)不等式
的解集
(1)不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a0ab4bf53b653678fd56c08c6f3942.png)
(2)不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b051e1329de07b78b173b7980ea8ea.png)
(3)不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ba566ad2dc99f8d62b72da55ccdbe6.png)
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解题方法
3 . 已知函数
的定义域为A,集合
,全集为实数集R.
(1)求集合A,B;
(2)求集合
和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d356003e846491d0cc45743e77d151d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa8772c6940fc23138298458baf8b2a0.png)
(1)求集合A,B;
(2)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa5ad99d60a473d94bb6811ddbfe8a.png)
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4 . 已知集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afbb9f836e2d9f9379418225ba51956a.png)
(1)若
,求实数m的值;
(2)若
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afbb9f836e2d9f9379418225ba51956a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/906ea02bdb4a1f6dc7d477109486c6de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
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5 . 已知集合
.
(1)当
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/738e58195c3935434f06b05b82ca11bb.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 解下列一元二次不等式:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5511850905b9a64a37255ba9b1ebc893.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1c2788d20945420b6821ccd5d41e0e9.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00902f5c0687cbf89f501fa012521301.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ee9178332028bf87b4b1e9575ccd9ef.png)
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解题方法
7 . 求下列不等式的解集
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f9589af5f113e6b41843e53d7c51f48.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f9589af5f113e6b41843e53d7c51f48.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897fef153ada29fc62c006d95806b75e.png)
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8 . (1)解不等式
;
(2)解不等式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897fef153ada29fc62c006d95806b75e.png)
(3)已知
,求
最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d141f34f18f4802d04ef2e4e5e803aba.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897fef153ada29fc62c006d95806b75e.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/688fc294e74f86d9a7663c23efaad23a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87844e23826674ad60b2f5ab45a78b1e.png)
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9 . 解不等式
(1)
;
(2)
;
(3)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b255276ab26638194fa865c67c72e38.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1ebc9c4b10aa469306895c7c711d8d.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e0fe43a39be19a3b29b2668bf01374e.png)
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2023-10-09更新
|
670次组卷
|
2卷引用:天津市西青区杨柳青第一中学2023-2024学年高一上学期11月第一次阶段性测试数学试题
名校
解题方法
10 . 已知集合
,
.
(1)若
,求
,
;
(2)若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae282f8773509164cca69ab7ee813ffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ecfb05896f6f977e85567b1633d0d1f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c81919684bc4047d376c7e57dc6c8f1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58a383c6f21d52e8632095b326b46129.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eac19737d882225c903054eb4863501.png)
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2023-09-29更新
|
186次组卷
|
3卷引用:天津市双菱中学2023-2024学年高一上学期11月期中数学试题
天津市双菱中学2023-2024学年高一上学期11月期中数学试题福建省福州市永泰县第二中学2022-2023学年高一上学期期中考试数学试题(已下线)模块四 专题4 大题分类练 《集合与常用逻辑用语》基础夯实练