如图,在△ABC中,点D是边AB上的一点.
(1)请用尺规作图法,在
内,求作
,使
交
于E;(不要求写作法,保留作图痕迹)
(2)在(1)的条件下,你能判断
与
的位置关系吗?
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/8/d46e0586-3d90-4f12-8ae2-fabd922cd6cc.png?resizew=170)
(1)请用尺规作图法,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23dc2d2dd56fcc67698c45a6e0e48f80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/921576f082417a691acc796d9d9c5b17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)在(1)的条件下,你能判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
更新时间:2023-06-30 17:40:40
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解答题-证明题
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【推荐1】如图,点B、E、C、F在一条直线上,
,
,
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f805768a5ffaf8bdfa4bc3b680aafdc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a510a3eb906b3ef0760b0d1723d11ae.png)
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【推荐2】如图,已知∠A=∠EDF,AD=BE,AC=DF.求证:BC∥EF.
![](https://img.xkw.com/dksih/QBM/2021/7/5/2757717122416640/2760643268608000/STEM/9ece0747-e638-441b-9663-5ce2c8ca7305.png)
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解答题-作图题
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名校
【推荐1】如图,在
中,
,过点
作
交
于点
.点
是线段
上一点,连接
,请完成下面的作图和填空.
为顶点,在
的右侧作
,射线
交
的延长线于点
,连接
,
.(保留作图痕迹,不写作法,不下结论)
(2)求证:四边形
是菱形.
证明:
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a7b9571b06a676f20a28d0f38996fdd.png)
在
和
中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e07400f039cffdbe2b8af827460c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e4d9dfbe703e030e8ca92fc361cca73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdbbfab38bfb6ec52598b96d45181428.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bc61bb1a6467f7f828a20e8784c2f6f.png)
______
四边形
是平行四边形
______
四边形
是菱形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12d008f9895855d187b72ce6e42bd928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
(2)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49404e6b19a342401a80d9feb1144605.png)
证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4fb9bc6163bd3f8aa1a8b0a70c9cbf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a7b9571b06a676f20a28d0f38996fdd.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07fbad473c16df3ff62c1c6b37de6aa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebdda64e2dd89a47e4f4e137c229607c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e07400f039cffdbe2b8af827460c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e4d9dfbe703e030e8ca92fc361cca73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdbbfab38bfb6ec52598b96d45181428.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bc61bb1a6467f7f828a20e8784c2f6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49404e6b19a342401a80d9feb1144605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3d198e76391779fa3badc848c8ac8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49404e6b19a342401a80d9feb1144605.png)
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解答题-作图题
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【推荐2】小明不小心将一块三角形玻璃打碎,他拿出如图所示的一块去配新玻璃.请你用尺规作图的方法画一个
,使所得的
和原来的三角形玻璃全等.(不要求写作法,保留作图痕迹.)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/30/a7fe40ed-7b12-4b59-8387-0c9a86d4a272.png?resizew=137)
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解答题-作图题
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【推荐3】小明回顾了一下用尺规作一个角等于已知角的过程:
请你根据以上材料完成下列问题:
(1)完成下面说理过程(将正确答案填在相应的横线上);
如图,分别连接
,
;
![](https://img.xkw.com/dksih/QBM/2023/6/30/3270646407921664/3273172288937984/STEM/a2259bcf7d594b929a4f2f4ea4c04516.png?resizew=118)
由作图可知,
,
______,
______,
所以
______,(
)
所以
.(依据)
(2)上面说理过程中的依据是:________________.
已知:![]() ![]() | |
作法如下:①作射线![]() ②以点O为圆心,任意长为半径作弧,分别交 ![]() ![]() ③以点 ![]() ![]() ![]() ![]() ④以点 ![]() ![]() ⑤过点 ![]() ![]() ![]() | ![]() |
(1)完成下面说理过程(将正确答案填在相应的横线上);
如图,分别连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cece895cbddf9d1f37f75e3b6346edda.png)
![](https://img.xkw.com/dksih/QBM/2023/6/30/3270646407921664/3273172288937984/STEM/a2259bcf7d594b929a4f2f4ea4c04516.png?resizew=118)
由作图可知,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d1b5e4a70bb62763b35bb7cbd01912.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1a903538428f3dea2713fe721ce4f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404728d0ea2699c71e674f30dd984abd.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b3d366b0be3b1f8600affd2a47a6e09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef21f6c326b310efdc1bc2f377b2fc9.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7face39ae13e5ace885b20e1e1d71c4e.png)
(2)上面说理过程中的依据是:________________.
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