如图,在
中,
为线段
上一点,连接
,以
为一边且在
的右侧作正方形
.若
∠ACB=45°,且
时,设正方形
的边
与线段
相交于点
, 则线段
长的最大值为 ____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
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2020·江苏无锡·模拟预测 查看更多[1]
(已下线)2020年江苏省无锡市江阴市青阳片区九年级数学中考模拟试题
更新时间:2020-07-08 14:45:50
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【推荐1】在平面直角坐标系中,二次函数
过点(4,3),若当0≤x≤a 时,y 有最大值 7, 最小值 3,则 a 的取值范围是_____ .
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解题方法
【推荐2】定义符号
的含义为:当
时
;当
时
.如:
.则
的最大值是_____________ .
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【推荐1】如图,在平面直角坐标系
中,点
的坐标是
,点
是函数
图像上的一个动点,过点
作
轴交函数
的图像于点
,点
在
轴上(
在
的左侧),且
,连接
,
.有如下四个结论:①四边形
可能是菱形;②四边形
可能是正方形;③四边形
的周长是定值;④四边形
的面积是定值.所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
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【推荐2】如图,
为等腰
的中位线,且
将
绕点A顺时针旋转
,直线
与直线
交于点
,在这个旋转过程中,
的最大值为______ ,点
运动的路径长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
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【推荐1】如图,把一个等腰直角三角形放在平面直角坐标系中,∠ACB=90°,点C(-1,0),点B在反比例函数
的图像上,且y轴平分∠BAC,则k的值是_________ .
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【推荐2】如图,
中,
,
,
,直线
,且分别交边AB,AC于点M,N,已知直线MN将
分为
和梯形MBCN面积之比为5:1的两部分,如果将线段AM绕着点A旋转,使点M落在边BC上的点D处,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81d14be1f16b7d0ad5df20776ea2679a.png)
______ .
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