解题方法
1 . 在①
;②“
”是“
”的必要条件;③
这三个条件中任选一个,补充到下面的问题中,并解答.
间题: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/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36be0d45c320e74b3bfee0aa5737fb0b.png)
间题:已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad7e0a446b9bc33137cf383563db783.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da331a8c58b97333fcf642c92f089e0c.png)
(2)若___________,求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
2 . 已知集合
或
.
(1)当
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/872562850413d26f5e4721a4f282274a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2cd4e5d7e63d3862675cf9b1d4175cc.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67942a923fbfb7b997160b13f1fba776.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c778ccfbd6e854a671c0f5576c596c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
3 . 已知全集为
,
,
.
(1)求
;
(2)若
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55e5937cc862f8e515ec62586b118d76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4aa8c99c3599d5c3b2e79b92c5fc479.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a65cb3e005748115ba16103d7114209.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42b427839d3db6e7da2721587c945e6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2769ff3e792107a67b688fa946f4405f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
4 . 设集合
.
(1)若
,求
;
(2)若“
”是“
”的充分不必要条件,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af07f9c088aa2a587f61bff9d8fe00fd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4dcaae636a53f3d590e5c64ffeeee57.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
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解题方法
5 . 已知全集
,集合
.
(1)求图中阴影部分表示的集合
;
(2)若非空集合
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860ebb6f76cd3cb9a265dfc233002a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137209ff79a0ab4ed36b0296546ae3b3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/25/840c82d3-bcce-40b1-955a-392032c671df.png?resizew=114)
(1)求图中阴影部分表示的集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若非空集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f1c10d0649b928567adcfc3b000e58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8769054f666a56e7a8255d10ce0e2770.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
6 . 已知集合
,
,
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f713d1ab6e1e5167ffd4eadfb6d6ed2c.png)
(1)若
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbec41ecbf80fe57340f55022d5a1e15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88da7e318a3222330b0dabe612617cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cab969771195fcca4c634b228933a203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f713d1ab6e1e5167ffd4eadfb6d6ed2c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb17a2a90cd479b604258d1258e9636.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3226acdcb97e0f41aa5cefabc8f95c2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
7 . 已知集合
.
(1)求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec9d9350b40846dc1df21324f2bed33f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a46991dd477a9bcf40feb60a1de6e1cc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/521c8f3f084af427ec1c464f8b6bed86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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8 . 已知集合
.
(1)求
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c43b554b17e49d33e1a4b3a2d4f708.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0d45290cd197eea95681b83c270539.png)
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9 . 已知集合
.
(1)求
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3cdd7b47041cc8bb1aec9e140b1078.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b262d7550393adaf604eda738fa2cb7.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c9888b5d5c5ccae881b6270267b769.png)
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名校
解题方法
10 . 已知集合
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59edc8466620bc829277ae1fa17edaf.png)
(1)当
时,求
;
(2)在①
②
中任选一个作为已知,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6af87330d33120a8159477a2e17eee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59edc8466620bc829277ae1fa17edaf.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94b0cbfbb7f9547c3bdcc8356d456935.png)
(2)在①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次