名校
1 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a4454e0d2129a2c9d0b6761eb39394e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe583f7350636a8fa9d81b381ab139fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2 . 已知一元二次方程
的两个根分别为
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d11196c1805e795aa4446decd8b9ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知
,其中
,
为常数,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eafeee56e6f48a61279724ed2ebb6670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ca7354d6bba89648743cc0d656cce38.png)
A.5 | B.7 | C.9 | D.13 |
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4 . 化简
的结果是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c926bb8bd179464b80b6d548f75aa0e4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 求关于x的二次函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a294a2058baaa4bd0fbd9698514ad339.png)
(1)当
时,求函数的最小值;
(2)求函数在
上的最大值(t为常数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a294a2058baaa4bd0fbd9698514ad339.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66bc8db5ac41099c8ffc0d58b3261e06.png)
(2)求函数在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6343069217cd6d8dd32446da428dae46.png)
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6 . (1)解分式方程:
.
(2)因式分解:
.
(3)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/856703ed5bf8dba597a16fecc88bf6eb.png)
(2)因式分解:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feeaeb72f09236bfa9c26103d732cf84.png)
(3)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f763d8016b92c17365e1dede884748.png)
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7 . 已知函数
.
(1)若
,求函数
的最小值;
(2)当
时,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1733da6f6e4ef50a504ca18b3fcf6493.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0db2c49919467a2e14540f2aabd05cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f0ca536621ec8db02707ba65917029.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5530ba037d57b8e3d113dbfbb953d63e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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8 . 如图,在网格中,每个小正方形的边长均为1,每个小正方形的顶点称为格点,点A、B、C三点都在格点上,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b351337bbbf0e7c10ac201302acf90.png)
______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b351337bbbf0e7c10ac201302acf90.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/21/a335fb64-89cd-4a4e-8019-201f8e0081cb.png?resizew=134)
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9 . x,
,3,7,10,平均数为5,中位数为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
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10 . 计算
的结果是______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1021d205ff41cf19cf55e03a8ca8de92.png)
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