如图,
平分
交
于点
,试说明
.请完善解答过程,并在括号内填写相应的理论依据.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/29/d416342b-acb8-498a-8b4b-d2aab66879c6.png?resizew=146)
解:
,(______)
,(______)
,(已知)
,(______)
,(已知)
,(______)
∴_____
(等式的性质)
平分
,(已知)
,(______)
(等量代换)
.(______)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daae27a57ee14b979cfa29cd90852a5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3981e7286d41960daf4e110c1c84e03a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd81adb13f5a7550b0f94f770900a613.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/29/d416342b-acb8-498a-8b4b-d2aab66879c6.png?resizew=146)
解:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb6706c88443ead35c76bcf2f3ec24aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3305393f335c545e97016dfd2786f7ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b309f91b367f7c17eae1065882e3825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2907c9ba70821edfc667967cb76c7f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a3fa1dc214e1d72baf5b14dcb039f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d9106e6677c5dc5b70f394ae7173924.png)
∴_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/968000c25ae1db9bc6a30902d8fec094.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1949518fc246fbd8426d08f701ade25d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3981e7286d41960daf4e110c1c84e03a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adac416b9145a59d7562c9857888f72e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c934414640a4188f0b9e9c593a862b2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6897cb88451fb6be292131f558c2f994.png)
更新时间:2024-02-29 20:04:57
|
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解答题-问答题
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【推荐2】如图,点O在直线AB上,OC平分∠DOB.若∠COB=36°.
![](https://img.xkw.com/dksih/QBM/2015/3/23/1573820918317056/1573820924772352/STEM/1bc2bb11c3e444838b7c2c2758d2feb9.png)
(1)求∠DOB的大小;
(2)请你用量角器先画∠AOD的角平分线OE,再说明OE和OC的位置关系.
![](https://img.xkw.com/dksih/QBM/2015/3/23/1573820918317056/1573820924772352/STEM/1bc2bb11c3e444838b7c2c2758d2feb9.png)
(1)求∠DOB的大小;
(2)请你用量角器先画∠AOD的角平分线OE,再说明OE和OC的位置关系.
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解答题-问答题
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【推荐1】如图,
,
,
,那么
吗?说明理由.
![](https://img.xkw.com/dksih/QBM/2022/4/25/2965776195846144/2972896232284160/STEM/8a690b38-b649-49c4-bb5d-289eaac7f0f8.png?resizew=112)
请你完成下面的填空.
解:
,
理由如下:
∵
,
(已知)
∴
______(______)
∴
(______)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e519cdb0cac3981d8e9610dba507a3.png)
∴
(______)
∴
(______)
(______)
∵
(______)
∴
(______)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffd657e48b15b9b54a55817e2c26b22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e2d131cf4bd2f1aa71bcd23bf96534.png)
![](https://img.xkw.com/dksih/QBM/2022/4/25/2965776195846144/2972896232284160/STEM/8a690b38-b649-49c4-bb5d-289eaac7f0f8.png?resizew=112)
请你完成下面的填空.
解:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e2d131cf4bd2f1aa71bcd23bf96534.png)
理由如下:
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffd657e48b15b9b54a55817e2c26b22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5d2737664f2441d650718ab896cb1e2.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c30b1d0ee117b055c3a93fae77d8cee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e519cdb0cac3981d8e9610dba507a3.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c0aa4c793921fdaa5d430cb90d78ca6.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91bb3e5212857c1a099b9cb7f9a6af38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba02910a01689f636c71116e96dfdf33.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e53497af8899cb299d762f1a4f46a55.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e2d131cf4bd2f1aa71bcd23bf96534.png)
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解答题-证明题
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名校
【推荐2】如图,∠ABC=∠ADC,BF、DE分别平分∠ABC与∠ADC,DE∥FB.
求证:AB∥DC.
请根据条件进行推理,得出结论,并在括号内注明理由.
证明:∵BF、DE分别平分∠ABC与∠ADC,
∴
,
.( )
∵∠ABC=∠ADC,∴ .
∵DE∥FB,∴∠1=∠3,( ),
∴∠2= .(等量代换),
∴AB∥CD.( )
求证:AB∥DC.
请根据条件进行推理,得出结论,并在括号内注明理由.
证明:∵BF、DE分别平分∠ABC与∠ADC,
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79c1c28a7e5fbd1008e3de19dfd76cb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c7a7da8a5415f7d85003efbb68ac929.png)
∵∠ABC=∠ADC,∴ .
∵DE∥FB,∴∠1=∠3,( ),
∴∠2= .(等量代换),
∴AB∥CD.( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/20/524c59ba-acbf-42a9-97fd-418bdf900816.png?resizew=192)
您最近一年使用:0次