如图,正方形ABCD中,AB=6,E为AB的中点,将△ADE沿DE翻折得到△FDE,延长EF交BC于G, FH⊥BC,垂足为H,连接BF、DG.以下结论:①BF∥ED; ②△DFG ≌△DCG;③△FHB∽△EAD;④tan∠GEB=
;⑤S△BFG=2.4.其中正确的个数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/25/05fce304-3660-4fe4-a1f5-3e5a2b8783e4.png?resizew=98)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/25/05fce304-3660-4fe4-a1f5-3e5a2b8783e4.png?resizew=98)
A.2 | B.3 | C.4 | D.5 |
更新时间:2020-06-03 11:59:36
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【推荐1】对于题目“点E是菱形
边上一点(
),将
绕点A逆时针旋转
得到
,若点F恰好也在菱形
边上,求满足条件
的个数”.
甲同学的答案:1个;
乙同学的答案:3个;
丙同学的答案:无数个.
由下列说法中,正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd84824d7de192364dd6a626641758b4.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
甲同学的答案:1个;
乙同学的答案:3个;
丙同学的答案:无数个.
由下列说法中,正确的是( )
A.只有甲答的对 | B.甲、丙答案合在一起才完整 |
C.甲、乙答案合在一起才完整 | D.三人答案合在一起才完整 |
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【推荐2】如图,在矩形
中,点
是
的中点
平分
,
交
于点
,连接
,以下四个结论:①
平分
;②
;③
;④
.则正确的个数是( )
![](https://img.xkw.com/dksih/QBM/2020/11/25/2600447100837888/2604095500607489/STEM/5a9864f25c304e4e9e85b558fae723bd.png?resizew=187)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1642eec556eb252de9c1ab7bb5ca90b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb3de20ba8bda63c650ef571be155702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f63569c960a9c70f5f093e544623f46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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A.①② | B.①②③ | C.②③④ | D.①②③④ |
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【推荐1】如图,正方形
和正方形
的顶点
在同一条直线上,顶点
在同一条直线上.
是
的中点,且
的平分线
过点
交
于点
连接
交
于点
,连接
交
于点
.给出以下结论∶①
;②
;③
;④
.其中正确的结论是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/31/9e3073b4-741d-4c98-85f2-35c51b2a1e7d.png?resizew=152)
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A.①②③④ | B.①③ | C.②③ | D.①②③ |
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【推荐2】如图,在正方形ABCD中,点E,F分别在BC,CD上,
,AC与EF相交于点G. 下列结论:①AC垂直平分EF;②当
时,
;③当
时,
为等边三角形:④当
时,
. 其中正确的结论有( )个
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A.1 | B.2 | C.3 | D.4 |
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【推荐1】如图,在平面直角坐标系中,点
,
,点C是线段
的中点,点D是线段
上一点,将
沿直线
翻折得到
,点E落在反比例函数y=
的图象上,若
,则k的值是( )
![](https://img.xkw.com/dksih/QBM/2023/4/13/3215340565684224/3221338964434944/STEM/7377362814a84d2b84de6263817e723c.png?resizew=185)
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A.32 | B.28 | C.24 | D.18 |
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【推荐2】如图, 已知第一象限内的点A在反比例函数y=
的图象上, 第二象限内的点B在反比例函数y=
的图象上, 且OA⊥OB, cosA=
, 则k的值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/63914a8e-2d90-4192-ab6f-9d7a680e1d4f.png?resizew=259)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c943d7b6ce65c70e98d62e3664168ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abb3a62e46296c417261156b51ec6b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83fb9ac8a18e78a4c56da79514b5ccb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/63914a8e-2d90-4192-ab6f-9d7a680e1d4f.png?resizew=259)
A.-12![]() | B.-16 | C.-6![]() | D.-18 |
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【推荐1】如图1,在△ABC中,点P从点A出发向点C运动,在运动过程中,设AP=x、BP=y,y与x之间的关系如图2:其中图象与y轴交点为(0,2),下列结论不正确的是( )
![](https://img.xkw.com/dksih/QBM/2022/5/11/2977218857091072/2978430468161536/STEM/c1891c37-3954-4b4f-8278-224ade9b4ac5.png?resizew=360)
![](https://img.xkw.com/dksih/QBM/2022/5/11/2977218857091072/2978430468161536/STEM/c1891c37-3954-4b4f-8278-224ade9b4ac5.png?resizew=360)
A.AC=4 | B.![]() | C.tan∠BAP=![]() | D.BC=![]() |
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【推荐2】如图,在平面直角坐标系中,反比例函数
的图象经过矩形ABCD的顶点C,D,若
,且
,则点B的坐标为( )
![](https://img.xkw.com/dksih/QBM/2022/5/31/2991242259849216/2995080550121472/STEM/8ae0575d0a1343689ceb5aea5f7dc585.png?resizew=166)
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A.![]() | B.![]() | C.![]() | D.![]() |
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