已知点D与点
,
,
是平行四边形的四个顶点,则
长的最小值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4fd4da08956db1f206c8ea026f4e52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23b9fc6ffcd8047efb5e7748fb7e4ed.png)
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23-24八年级下·浙江杭州·期中 查看更多[3]
(已下线)第六章第5讲 解题技巧专题:平行四边形中折叠、旋转、线段最值问题(4类热点题型讲练)-【帮课堂】2023-2024学年八年级数学下册同步学与练(北师大版)浙江省杭州市萧山区城区八校2023-2024学年八年级下学期期中数学试题浙江省杭州市萧山城区8校联考2023-2024学年八年级下学期4月期中考试数学试题
更新时间:2024-05-14 16:32:11
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【推荐1】如图,将八个边长为1的小正方形摆放在平面直角坐标系中,若过原点的直线
将图形分成面积相等的两部分,则直线
的函数关系式为______________ .
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【推荐2】定义:若一个函数图象上存在横、纵坐标相等的点,则称该点为这个函数图象的“等值点”.例如,点
是函数
图象的“等值点”.设函数
,
图象的等值点分别是A,B,过点B作
轴,垂足为点C,当
的面积为5时,b的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86022205a7487439dd8d0897cd3bf19.png)
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【推荐1】如图,在
中,
,
,
,
为
上的动点,以
为斜边向右侧作等腰
,使
,连接
,则线段
的最小值为_____ .
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【推荐2】(1)如图①,Rt△ABC中,∠C=90°,AC=3,BC=4,点D是AB边上任意一点,则CD的最小值为____ .
(2)如图②,矩形ABCD中,AB=3,BC=4,点M、点N分别在BD、BC上,求CM+MN的最小值____ .
(2)如图②,矩形ABCD中,AB=3,BC=4,点M、点N分别在BD、BC上,求CM+MN的最小值
![](https://img.xkw.com/dksih/QBM/2020/4/23/2447556904443904/2448363221614593/STEM/b1690105-9ba6-4a35-bcc9-923150b5dfe2.png)
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【推荐1】在平行四边形
中,
、
分别为
、
的中点,
、
分别是一元二次方程
的两根
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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【推荐2】在矩形ABCD中,AB=8cm,BC=3cm,点P从点A出发沿AB以2cm/s的速度向终点B移动,同时,点Q从点C出发沿CD以3cm/s的速度向终点D移动,其中一个点到达终点,另一个点也停止运动. 经过_________ 秒P、Q两点之间的距离是5cm.
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【推荐1】如图,
中,
,
,
,点
为
上一点(端点除外),连接
、
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______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32217457c4e96e2ef155cf15c1b65d97.png)
______ .
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【推荐2】三折伞是我们生活中常用的一种伞,它的骨架是一个“移动副”和多个“转动副”组成的连杆机构,如图1是三折伞一条骨架的结构图,当“移动副”(标号1)沿着伞柄移动时,折伞的每条骨架都可以绕“转动副”(标号2-9)转动;图2是三折伞一条骨架的示意图,其中四边形
和四边形
都是平行四边形,
,
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(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50de2fc8b37b154bcde2771f7407bd97.png)
____ cm;
(2)当
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(1)
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(2)当
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