如图,这是一条小鱼的线段简笔画,若
,
,
,
,试说明
,请补充完成以下过程.
证明:因为
,
(已知),
所以___________________(等量代换),
所以
( ),
所以___________________(两直线平行,内错角相等).
因为
(已知),
所以
(等量代换),
因为
(已知),
所以
(等量代换),
所以_______________(同旁内角互补,两直线平行),
所以
( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41bef89ac0dd5ae192cd9c7222d5041b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7051a4c2e1db808fdf8eee8c3cb3dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a6f7181575bd5becf5937033201c15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebd9ced3c05e7de30491b602e8096a0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b962089472e4c4b62f5454fd72b4475.png)
证明:因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41bef89ac0dd5ae192cd9c7222d5041b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7051a4c2e1db808fdf8eee8c3cb3dfb.png)
所以___________________(等量代换),
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a11029ca6b4b9e7f777af0280cf163c.png)
所以___________________(两直线平行,内错角相等).
因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a6f7181575bd5becf5937033201c15.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/954ac552cb0a9b6433038980419d333d.png)
因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebd9ced3c05e7de30491b602e8096a0d.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0909a0006ade798a9018f7938d628bc3.png)
所以_______________(同旁内角互补,两直线平行),
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b962089472e4c4b62f5454fd72b4475.png)
更新时间:2024-05-10 21:51:55
|
【知识点】 根据平行线判定与性质证明
相似题推荐
解答题-证明题
|
适中
(0.65)
【推荐1】已知:如图,
//
.求证:
.按先后顺序 填写空格:
解:连接
.
∵
(已知)
∴___________//___________(内错角相等,两直线平行)
∴
(___________)
∵
//
(已知)
∴
(两直线平行,内错角相等)
∴
___________(___________)
即
.
(2)试用其他方法进行推理,并书写证明过程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08a1e60ffbb2beea1a64f17f0deab32c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77052b228200f760a3db9c5039b962b3.png)
解:连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0975e9ba3dd27825a492083616e95536.png)
∴___________//___________(内错角相等,两直线平行)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64329f40170e809fc5b8f73bacbfc6d3.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ada52a0dae5711ac607f5384b2532a.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a35a47833e544b00bf71bf5e5a07f045.png)
即
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77052b228200f760a3db9c5039b962b3.png)
(2)试用其他方法进行推理,并书写证明过程.
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解答题-证明题
|
适中
(0.65)
名校
【推荐2】如图,已知
,CD、EF分别是∠ACB、∠AED的平分线.求证:BC∥DE.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/1/26510644-94ee-4544-af3d-9e9fe96a47c2.png?resizew=165)
您最近一年使用:0次