名校
解题方法
1 . 已知命题
,命题
或
,其中
.若
是
成立的充分不必要条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91d4c85c352e030c29e2c9557a8c3e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5fe92ee790506d04131abe71cc18e42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/def1cc8fd1e512b4c4315f5233650ded.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2 . 若
是方程
的两个实数根,试求下列各式的值:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b8897d3d434c9f4ac60eaf8ca0f406c.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c847f857b8d1788d4ba414b82840ef5e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
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3 . (1)化简:
;
(2)求方程
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef937ff3d3939ec00c2ccb3ad9a13848.png)
(2)求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67bd4a53ea5aef1fb7aeabddbf4adb64.png)
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解题方法
4 . 如果
,那么下列不等式成立的是________ .
①
②
③
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca24341509c05e672999202f2df0ebaf.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb54b1b3617ebc502cb44194cbcd1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13a828975535efba2e25cdcf71988be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4020e809b61b33310386c6b598de0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53735663282ca04477d2a67976ce23a4.png)
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5 . 命题p:一次函数
的图像经过一、二、四象限的充要条件是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1af0b467f0e1ac18acdc39586d9a28ce.png)
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6 . 设非空集合
,其中
,若集合S满足:当
时,有
,则下列结论正确的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a0fa274267305bc905307a7840e8526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7569cd7e9b31ad838230133b9bc8314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8647b00cc8c8f35555c7d78cf2812c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/561b2a3989ac7b46ec794c2ad9a60b47.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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7 . 下列说法正确的是( ).
A.命题p:“![]() ![]() ![]() ![]() |
B.已知![]() ![]() ![]() ![]() |
C.“![]() ![]() |
D.若![]() ![]() |
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解题方法
8 . 已知集合
,若
,则实数a的值可以是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7faf19150cfc768b8430c9ee5db9f40e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
A.![]() | B.![]() | C.0 | D.![]() |
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解题方法
9 . 已知
表示不超过x的最大整数,集合
,
,且
,则集合B的子集个数为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfc38ba14864fe789aa996790589075c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662c2beb75f281f98d494a791f8738ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b8ac9a1d20df218648f49e44458950a.png)
A.4 | B.8 | C.16 | D.32 |
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名校
解题方法
10 . 已知集合
,
,则“
”是“
”的( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f24b0938ac3e4b34c7882fd8a098e63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf61b7c6d1c49ebcb814e9cd61f9590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/055365d21f92fdb6881310bda08c3f75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ceb1f338fa60976229d7ec6531b626.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分又不必要条件 |
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