题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202339-85199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202339-55644.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202339-59787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202340-85801.png)
答案
解:如图1,过点
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202340-11489.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202340-26059.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202340-55207.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202341-65048.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202341-43725.png)
可得四边形
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202341-71372.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202341-18666.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202342-65874.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202342-63080.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202342-14667.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202342-59355.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202343-36940.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202343-94408.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202343-79895.png)
又∵
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202343-28317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202344-69796.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202344-53812.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202344-45386.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202344-45129.png)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202345-97966.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202345-41976.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202345-61556.png)
(其它解法如图2,图3,图4,图5)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202345-62916.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202346-17092.png)
解析
核心考点
试题【(本小题满分6分)如图,在梯形ABCD中,AD∥BC,∠B =,∠C=,AD=1,BC=4,点E为AB中点,EF∥DC交BC于点F,求EF的长。】;主要考察你对平行四边形性质等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202310-33113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202310-33113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202310-60158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202310-60428.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202311-34931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202311-18667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202250-50039.png)
(1)求证:△ABF∽△DFE;
(2)若sin ∠DFE=
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202211-16150.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202211-58682.jpg)
如图,梯形ABCD中, DC∥AB,点E是BC的中点,连结AE并延长与DC的延长线相交于点F,连结BF,AC.
求证:四边形ABFC是平行四边形;
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202129-78663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202122-62937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202122-56549.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202123-40910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202123-18996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202123-43183.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202123-76086.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202124-41295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202124-16669.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202124-16862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202124-54483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202125-39073.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202125-69206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202124-54483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202125-17016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202125-69206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202125-69206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202125-14272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029202125-43022.png)
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