如图,在四边形ABCD中(AB≠BC),AB
CD,AB=CD,直线EF经过AC和BD的交点O,分别交AD,BC于点M,N,交BA,DC的延长线于点E,F,下列结论正确的有()
①△AOB≌△COD;②OB=OC;③△AOE≌△COF;④OM=NF;⑤图中全等的三角形有9对.
![](https://img.xkw.com/dksih/QBM/2022/9/8/3061898939596800/3062109184843776/STEM/00acef157a3245b2b45ba87b3fa863a0.png?resizew=219)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
①△AOB≌△COD;②OB=OC;③△AOE≌△COF;④OM=NF;⑤图中全等的三角形有9对.
![](https://img.xkw.com/dksih/QBM/2022/9/8/3061898939596800/3062109184843776/STEM/00acef157a3245b2b45ba87b3fa863a0.png?resizew=219)
A.5个 | B.4个 | C.3个 | D.2个 |
更新时间:2022-09-11 23:51:54
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适中
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【推荐1】如图,在
中,
,
是
边的高,
于点E,
于点F,下列结论:①
;②
:③
:④
.其中正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/15/405f2236-37de-48a7-9e46-52adcc9bdda1.png?resizew=127)
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A.①②③ | B.①②④ | C.②③④ | D.①②③④ |
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【推荐2】已知,如图,
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和等边三角形
,
与
交于点
,
与
交于点
,
与
交于点
,连接
,
,以下四个结论:①
;②
是等边三角形;③
;④
平分
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A.①、② | B.③、④ | C.①、②、③ | D.①、②、④ |
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【推荐1】如图,在
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在
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A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】如图,在平行四边形
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【推荐1】在矩形
中,M,N,P,Q分别为边
上的点(不与端点重合),对于任意矩形
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①存在无数个四边形
是平行四边形;
②存在无数个四边形
是矩形;
③存在无数个四边形
是菱形;
④至少存在一个四边形
是正方形.
所有正确结论的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
①存在无数个四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389bc3f29c058067e06e0d0d2be399da.png)
②存在无数个四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389bc3f29c058067e06e0d0d2be399da.png)
③存在无数个四边形
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④至少存在一个四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389bc3f29c058067e06e0d0d2be399da.png)
所有正确结论的序号是( )
A.①②③ | B.①②④ | C.①③④ | D.②③④ |
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【推荐2】下列命题中,是真命题的是( )
A.一组对边平行,一组对角互补的四边形是平行四边形 |
B.一组对边平行,一组对角互补的四边形是等腰梯形 |
C.一组对边平行,一组对角相等的四边形是平行四边形 |
D.一组对边平行,一组对角相等的四边形是等腰梯形 |
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