名校
1 . 若a,b是一元二次方程
的两个实数根,则
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f41de8b21d35e200440bf938209eb973.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ff9977f49add313a2ff64bfb459c378.png)
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2 . 已知点
为线段
上一点.如果
的比值为关于
的方程
的解,那么点
为
的
阶黄金分割点.
已知
阶黄金分割点作法如下:
步骤一:如图,过点
作
的垂线
,在垂线
上取
,连接
;
步骤二:以点
为圆心,
为半径作弧交
于点
;
步骤三:以点
为圆心,
为半径作弧交
于点
;
结论:点
为线段
的
阶黄金分割点.
时,点
为线段
的______ 阶黄金分割点;
(2)作法步骤一中,当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
______ (结果用
的代数式表示)时,点
为线段
的
阶黄金分割点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5b053db0e2d73b30224628c43c0af24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/248a9c901d039cd5bbc4c4cdacca63eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
步骤一:如图,过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/446020d9d837f8698676b56b773f805a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
步骤二:以点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
步骤三:以点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
结论:点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a2a34b4317deffa40ba34e269c2b81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)作法步骤一中,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
3 . 若
是方程
的根,则代数式
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a985aa7bff13665fb7ff50f8e2f3677a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb4600ea42707246f5d85c95108e6658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3587580bddb8005191bd63f93eb0a80.png)
您最近一年使用:0次
4 . 若关于
的方程
有一个根为2,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9cab08c1823a29d28fdc8c0d2590c59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
5 . 已知关于x的方程.
的一个根为2,则另一个根是 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/198aea3a7e8589101c661ea3060752a4.png)
A.![]() | B.![]() | C.![]() | D.2 |
您最近一年使用:0次
6 . 已知
是一元二次方程
的一个根,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1146110d4382c714c10de00dd1273b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ee5e9694bf907774beab785030e211.png)
您最近一年使用:0次
7 . 若m,n是方程
的两个实数根,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e8948d072eef1366c4e76abecb73cbd.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59d11196c1805e795aa4446decd8b9ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e8948d072eef1366c4e76abecb73cbd.png)
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名校
8 . 已知
是方程
的根,则式子
的值为________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1be7302f2e9ff02fee3fcf26e77b1c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99606defee81cacc6652482953b6818c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351303db885a4d8b73adffb519225b3f.png)
您最近一年使用:0次
9 . 设
分别为一元二次方程
的两个实数根,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22b4218f00da487d3f63b9360144708f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c0bd44afa5409c2cc09c1d40bd64e40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27a32c7ef0cabc4c6dd0774c43796354.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 设
是方程
的两个实数根,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fc1b83eee609b16000c734316e199e0.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4cdd6f27334444c1884876b9e4cfe6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fc1b83eee609b16000c734316e199e0.png)
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