题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064117-58441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064117-11881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064117-91950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064118-58367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064118-72852.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064118-44603.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064118-67802.png)
的值为_______________.
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064119-85120.png)
答案
解析
试题分析:在菱形ABCD中,BD⊥AC,BD与AC互相平分,因为∠BAD=60°,所以∠BAC=30°,又因为AC=2,设BD的一半为x,则AB=2x,根据勾股定理,得AB=BD=AD=
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064119-24619.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064119-94705.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064117-91950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064118-58367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064118-72852.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064118-44603.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064119-16488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064119-95394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064119-16488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064120-90331.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064119-16488.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064120-46597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064119-24619.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064119-95394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064120-90331.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064119-24619.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064119-95394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064120-90331.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064120-29149.png)
点评:该题主要考查学生对菱形性质的理解和掌握程度,同时要求学生提高对题目的观察能力,找出其中的规律。
核心考点
举一反三
求证:AE=BF
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064017-17844.png)
(2)如图,□ABCD中,
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064018-60968.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064018-14414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064018-30181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064018-22293.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064019-97709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064019-95082.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064018-14414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064019-99426.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064018-30181.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064019-99926.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064019-70970.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064003-53227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029064003-19508.png)
(1)求下底DC的长度;
(2)当点E是AB的中点时,求线段DF的长度;
(3)请计算射线EF经过点C时,AE的长度.
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063944-36548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063944-27151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063944-49965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063944-32674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063945-33035.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063945-43125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063945-82805.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063945-32727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063946-99603.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063946-34069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063945-82805.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063946-87827.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063946-16602.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063947-63572.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063947-97148.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063844-39854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063844-70199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063844-70199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063844-36650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063845-50096.png)
证明:过点
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063844-70199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063845-66606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063845-13343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063845-93298.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063845-41344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063846-63112.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063846-25510.png)
又∵
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063846-64207.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063847-57972.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063845-50096.png)
请你参考上述信息,当点
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063844-70199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063847-52477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063847-94643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063847-79554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063847-19110.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063848-82114.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063848-16491.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063756-70569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191029/20191029063756-40342.png)
A. B. C. D.
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