题目
题型:辽宁省期末题难度:来源:
(1)求EF的长;
(2)求梯形ABCE的面积.
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106184323-61741.png)
答案
∴DE=EF=x,CF=CD=6.
∵在Rt△ACD中, AC=
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106184323-99196.png)
∴AF=AC﹣CF=4,AE=AD﹣DE=8﹣x.
在Rt△AEF中,有AE2=AF2+EF2
即(8﹣x)2=42+x2
解得x=3,即:EF=3.
(2)由(1)知:AE=8﹣3=5,
∴ S梯形ABCE=
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106184324-40588.png)
核心考点
试题【如图,在矩形ABCD中,AB=6,BC=8.将矩形ABCD沿CE折叠后,使点D恰好落在对角线AC上的点F处. (1)求EF的长; (2)求梯形ABCE的面积.】;主要考察你对轴对称等知识点的理解。[详细]
举一反三
(2)若△ABC各顶点的横坐标不变,纵坐标都乘以﹣1,请你在同一坐标系中描出对应的点A
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106184315-14804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106184315-53156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106184315-41482.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106184315-65289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106184315-83226.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106184316-50508.png)
(3)在②的基础上,纵坐标都不变,横坐标都乘以﹣1,在同一坐标系中描出对应的点A
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106184316-76385.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106184317-88894.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106184317-66280.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106184317-77636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106184317-88802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106184317-31954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106184317-85076.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106184309-41663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106184304-31118.png)
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