已知:如图,∠BAE+∠AED=180°,AP平分∠BAE,EQ平分∠AEC,求证:∠P=∠Q.
![](https://img.xkw.com/dksih/QBM/2022/5/4/2979165279756288/3044417282416640/STEM/035eb0944e3d48b1a03759ed466d22a9.png?resizew=129)
更新时间:2022-08-14 17:05:43
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【推荐1】已知:如图,AB
CD,OA=OC.求证:OB=OD.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/1/1669feff-d766-4bc3-a20f-b34ed1c9ef42.png?resizew=172)
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【推荐2】(1)如图1,
,
平分
,则
的形状是 三角形;
(2)如图2,
平分
,
,
,则
.
(3)如图3,有
中,
是角平分线,
交
于点D.若
,则
.
(4)如图4,在
中,
与
的平分线交于点F,过点F作
,分别交
,
于点D,E.若
,则
的周长为 .
(5)如图,在
中,
cm,
分别是
和
的平分线,且
,
则
的周长是 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e932b4add3175358f15be0e1f7104e79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721c75fcd58d3d54260aad0f82e09e37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)如图2,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246a86f34603eaf2e6a948681b831b0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0dd77ccdd91fbd630254938b3502d22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
(3)如图3,有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d021981c03e75b1a246d899dcc64656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e016997c9ccce980edb56352c5829f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
(4)如图4,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d021981c03e75b1a246d899dcc64656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2017472698304997ecace5a374d4daca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
(5)如图,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7788830ed1cb3b9c5988f70f43595f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d9ea82fbf17dc33c55abb9d460b37be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fecfdc826358d057dd522388c8156965.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d0157310b49104bd2f604b4f83ecd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cff7399ecc698e2fb415147c96d0d03.png)
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【推荐1】如图,AD平分∠BAC,DE⊥AB,DF⊥AC,垂足分别为E,F,且DB=DC.
![](https://img.xkw.com/dksih/QBM/2020/7/3/2498075290443776/2498762549329921/STEM/3f38f5cdea9f452d834c6de03bb30cd8.png?resizew=170)
(1)求证:EB=FC;
(2)请直接写出图中线段AB,AC,AE之间的数量关系(不必说明理由)
![](https://img.xkw.com/dksih/QBM/2020/7/3/2498075290443776/2498762549329921/STEM/3f38f5cdea9f452d834c6de03bb30cd8.png?resizew=170)
(1)求证:EB=FC;
(2)请直接写出图中线段AB,AC,AE之间的数量关系(不必说明理由)
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【推荐2】如图,在△ABC中,∠C = 90°,AD是∠BAC的平分线,过点D作DE⊥AB. DE恰好是AB的垂直平分线.CD与DB有怎样的数量关系?请说明理由.
![](https://img.xkw.com/dksih/QBM/2021/11/13/2850362885537792/2851179432607744/STEM/43b0d506917743b4a74e1fe39077ed69.png?resizew=166)
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