如图,已知:点B、E、C、F在一直线上,且AB
DE,AB=DE,BC=EF.求证:AC=DF.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7003aee0b4b85f0fdd48ca9ae5826d54.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/4976dc50-3945-4fc5-beed-f6b49e465d84.png?resizew=168)
更新时间:2022-10-13 09:41:10
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解答题-证明题
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【推荐1】如图,已知
.
作
,使得
,且
和
在直线
的同一侧(不写作图过程,保留作图痕迹);
(2)连接
,求证:
;
(3)设
与
交于点
,若
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6720e36b02193db161c61d4017673760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2036191be2322003aaee6bb411868327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619e699d1979710e5b9ea57e8e4b7e28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2036191be2322003aaee6bb411868327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/949927ca2b3e98103f9b7edf05013dd3.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc3b87e41fd44927a1f98338b390f2b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb8eca20ce2c918ea4034ea15210c7f.png)
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【推荐2】如图,△ABC ≌△DEF,点A对应点D,点B对应点E,点B、F、C、E在一条直线上,∠A = 85°,∠E = 50°,AB = 4,EF = 6.
(1)求∠ACB的度数.
(2)求AC边的取值范围.
(1)求∠ACB的度数.
(2)求AC边的取值范围.
![](https://img.xkw.com/dksih/QBM/2021/8/27/2795317695021056/2798796903497728/STEM/e8bd51ea30104075bae37af38a6aee63.png?resizew=160)
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【推荐2】如图,正方形ABCD中,点G是CD边上的一点(点G不与点C,点D重合),以CG为一边向正方形 ABCD外作正方形 GCEF,联结DE交BG的延长线于点H.
(1)求证:
;
(2)若正方形 ABCD的边长为1,当点H为 DE中点时,求CG的长.
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8db529de474a033a56c138825d0b0c3d.png)
(2)若正方形 ABCD的边长为1,当点H为 DE中点时,求CG的长.
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