名校
1 . 设关于
的方程
的两根为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
(1)若
,求
的值;
(2)若方程至少有一根的模为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2914555b73c954e85aa05449d767eee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a39b9354d936ff25d65386d56671d56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若方程至少有一根的模为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2 . 设
是方程
的一组解,计算:
(1)
;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad0086651e05c716cec1ba31cf09f1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821dc5767ac7967687426e4b9c46c918.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b859b72b8127df011d0b3032d2c3ff3e.png)
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3 . 如图,圆内接四边形ABCD中,G为对角线AC、BD的交点,过点D作
交AC于E,且
,F在线段GD上,且
,连接CF.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/4bd1187a-ba53-4a8b-9c6f-9dcef6fc6fb6.png?resizew=170)
(1)求证:
;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebe7eaf967808dad0a184eeedfa27721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c16639200620d92e1a8c228b581dc57c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7953310f793ba2a127772d593b41aff0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/4bd1187a-ba53-4a8b-9c6f-9dcef6fc6fb6.png?resizew=170)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f1b8f2d3052769ed15da4dcdaad203.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bb4a99e41e4a30238de487e733e01ef.png)
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4 . 在实数范围内分解因式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b08d4d3c2d9254b057956721f52a30e.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b08d4d3c2d9254b057956721f52a30e.png)
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名校
5 . 若关于x的不等式组
有且仅有四个正整数解,则实数
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8462066ad77f3b45fc01504b1412deaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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6 . 已知函数
与
图象的交点为
,
,
,则不等式
的解为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/498bcfd1aac03057dcd0adef2dd113a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c81daf249bc88275baa32ffb4643db1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc667996e571285a39c9df6c2260d8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af3fb7e3371de42aeef26f911d564cad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4fc75de69dcc72f51f5688c4ff10fdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca612f8a2677143f31befb7d87ac9bc6.png)
A.![]() ![]() | B.![]() ![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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7 . 圆
内切于正三角形
,半径为R,圆
与圆
及
,
均相切,圆
的半径为r,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dff3606c7bf728b4f539261461cde677.png)
A.4 | B.2 | C.3 | D.5 |
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8 . 已知实数
满足
且
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32a004547477e9a36ccf8e7a4e65d74e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead2d84f44d15afd79c6410078da36a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7260a18008048695970e768bb9a323dd.png)
A.![]() | B.![]() | C.![]() | D.2 |
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9 . 已知关于x的一元二次方程
有两个不相等的实数根,则k的取值范围______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/387177f3e4becf4fbc57e369a7898f3c.png)
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10 . 已知一元二次方程
有一个根为零,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c54c7ccaf1360d356758208561e41fd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.1 | B.![]() | C.1或![]() | D.![]() |
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