如图,在△ABC中,∠BAC的平分线交BC于点D,E是AB上一点,且AE=AC,EF∥BC交AD于点F.
求证:四边形CDEF是菱形.
求证:四边形CDEF是菱形.
![](https://img.xkw.com/dksih/QBM/2019/2/18/2143355108179968/2144938063757312/STEM/101c677f02484f939aa1ea71b6598599.png?resizew=95)
更新时间:2019-02-20 21:10:34
|
相似题推荐
解答题-证明题
|
适中
(0.65)
名校
【推荐1】如图,△ABC中,点E,F分别在边CB及其延长线上,且CE=BF,DF∥AC,且DF=AC,连接DE,求证:∠A=∠D .
![](https://img.xkw.com/dksih/QBM/2020/9/15/2550379255455744/2551888679886848/STEM/49fe48da831e49d4923b9f67e0c6dcf7.png?resizew=159)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐2】已知:如图,AB∥CD,∠BAD的角平分线与DC的延长线交于点E.求证:DA=DE
![](https://img.xkw.com/dksih/QBM/2019/2/13/2139772001976320/2141298811543552/STEM/ca29bb95f0a04c2892812f63fba16e40.png?resizew=131)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐1】如图,已知
,
和
是对应角,
和
是对应边,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/25/e54cb57b-d5eb-4b2a-8bf8-c341e42bb6a1.png?resizew=168)
(1)写出其他对应边及对应角;
(2)判断
与
的位置关系,并说明理由.
(3)求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee145049c2b67be70b3962f20e9bb352.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21fa3492cd1ac2b3f9278d3fe4cd4fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b30963f84ccd05fbbc07a4450c5089.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5e308d8b608200f0bb0fbf5fea9b07.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/25/e54cb57b-d5eb-4b2a-8bf8-c341e42bb6a1.png?resizew=168)
(1)写出其他对应边及对应角;
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐2】在一次数学活动中,老师准备三张完全相同的纸片,纸片上分别写有如图所示图形的一个条件:①AD=BC;②AB∥DC;③AO=OC,小明同学从三张纸片中任意抽取两张.请你用树状图或表格表示出抽取两张纸片上的条件所有可能出现的结果(用序号表示),并求出上述条件下四边形ABCD是平行四边形的概率.
![](https://img.xkw.com/dksih/QBM/2020/6/2/2476121412476928/2476184867864576/STEM/3082d181c8b24879a2a9d35fbf2b9341.png?resizew=149)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐1】已知:如图,在△ABC中,
,
,
,CD与BE相交于点F.
![](https://img.xkw.com/dksih/QBM/2022/1/22/2899907617300480/2917729572429824/STEM/9ed5fa6c4fad455c9e5247e58490a985.png?resizew=174)
(1)求证:
;
(2)若
,
,求线段BF的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c42ed2e5bd5a0f033e24008697bf4963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d320f180419175d75eebc618cc458b39.png)
![](https://img.xkw.com/dksih/QBM/2022/1/22/2899907617300480/2917729572429824/STEM/9ed5fa6c4fad455c9e5247e58490a985.png?resizew=174)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4dde4e9dcd7b2047f76abc620bb4e8c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080ca48cd27d4bf9d9ef084b558fc17a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐2】如图,在四边形ABCD中,∠A=45°,∠C=90°,∠ABD=75°,∠DBC=30°,AB=
.求BC的长.
![](https://img.xkw.com/dksih/QBM/2014/3/18/1573715624181760/1573715630276608/STEM/e53e0b3fdbb14718b5e7ff7ef6018d2f.png)
![](https://img.xkw.com/dksih/QBM/2014/3/18/1573715624181760/1573715630276608/STEM/e6125baae58b45d2ba9fd9eee3c3ea9d.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐1】如图,在平行四边形ABCD中,对角线AC、BD相交于点O,M是BD上任意一点,连接AM并延长至点N,使
,交BC于H,连接CN、BN.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/20/98636610-32a3-4f6a-bf2d-5cf699f0040a.png?resizew=156)
(1)求证:OM
CN.
(2)连接CM,若
,且
,求证:四边形BNCM是菱形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/965f4956928390099975a610bd0d8514.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/20/98636610-32a3-4f6a-bf2d-5cf699f0040a.png?resizew=156)
(1)求证:OM
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
(2)连接CM,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea08ee9fc1fdf2028545439275b3d115.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d384390f4e0a1e0abd4cc19382d94db.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐2】已知ABCD为平行四边形纸片,要想用它剪成一个菱形,小刚说只要过BD中点作BD的垂线交AD、BC于E、F,沿BE、DF剪去两个角,所得的四边形BFDE为菱形.你认为小刚的方法对吗?为什么?
您最近一年使用:0次