如图,直线
相交于点O,过点O作
,射线
平分
,
.
(1)
的度数;
(2)
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e85814f051a479a1b04a46f70e96557a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/178e3fa2e4de57a4c067e79be7d798e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fed1f57a835af4e9022e27603d12d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/177044a4fa3e522b850dc4baf7da34c2.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9f91270ddbe1cf3c1362e1b95aee14.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f55c6ac896ab4277fae2230a6e10b0.png)
20-21七年级上·江苏镇江·期末 查看更多[13]
江苏省镇江市2020-2021学年七年级上学期期末数学试题(已下线)专题5.6 期末考前必做30题(解答题提升版)-2020-2021学年七年级数学下学期期末专项复习(北师大版)江西省赣州市会昌县2020-2021学年七年级下学期期末数学试题江苏省淮安市淮阴区2021-2022学年七年级上学期期末数学试题广东省深圳市宝安区沙井上南学校2020-2021学年七年级下学期期中数学试题江西省抚州市南城县2021-2022学年七年级下学期期中数学试题江西省石城县第二中学2021-2022学年七年级下学期期中检测数学试题(已下线)第一次月考押题培优卷(1)(考试范围:第一、二章)-【微专题】2022-2023学年七年级数学下册常考点微专题提分精练(北师大版)江西省赣州市会昌县2022-2023年学年七年级下学期期中数学试卷江西省宜春市上高县锦阳中学2022-2023学年七年级下学期第一次月考数学试题湖北省宜昌市夷陵区樟村坪中小学2023-2024学年七年级下学期月考数学试题河北省廊坊市广阳区中国石油天然气管道局中学2023-2024学年七年级下学期月考数学试题广东省江门市江海实验教育集团2023-2024学年七年级下学期期中数学试题
更新时间:2024-03-16 21:46:30
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解答题-作图题
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【推荐2】已知:∠AOB,过点O引两条射线OC,OM,且OM平分
.
(1)如图,若∠AOB=120°,∠BOC=30°,且点C在∠AOB的内部.
![](https://img.xkw.com/dksih/QBM/2022/1/19/2897962318127104/2898682074456064/STEM/729a4c04-5ef9-4f18-85c9-c07a67cc406a.png?resizew=177)
①请补全图形;
②求出∠MOB的度数;
以下是求∠MOB的度数的解题过程,请你补充完整.
解:∵∠AOC=∠AOB-∠BOC,∠AOB=120°,∠BOC=30°,
∴∠AOC= 90°.
∵OM平分
,
∴∠MOC= = °.
∵∠MOB=∠MOC+ ,
∴∠MOB= °.
(2)若∠AOB=α,∠BOC=β(其中α<β<90°),画出图形并直接写出∠MOB的度数.(用含α,β的式子表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fed1f57a835af4e9022e27603d12d31.png)
(1)如图,若∠AOB=120°,∠BOC=30°,且点C在∠AOB的内部.
![](https://img.xkw.com/dksih/QBM/2022/1/19/2897962318127104/2898682074456064/STEM/729a4c04-5ef9-4f18-85c9-c07a67cc406a.png?resizew=177)
①请补全图形;
②求出∠MOB的度数;
以下是求∠MOB的度数的解题过程,请你补充完整.
解:∵∠AOC=∠AOB-∠BOC,∠AOB=120°,∠BOC=30°,
∴∠AOC= 90°.
∵OM平分
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fed1f57a835af4e9022e27603d12d31.png)
∴∠MOC= = °.
∵∠MOB=∠MOC+ ,
∴∠MOB= °.
(2)若∠AOB=α,∠BOC=β(其中α<β<90°),画出图形并直接写出∠MOB的度数.(用含α,β的式子表示)
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解答题-问答题
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【推荐1】如图,∠AOC与∠BOC有一条公共边OC,OD是∠AOC的平分线,∠DOE=90°,OE是∠BOC的平分线,猜想A、O、B三点是否在同一直线上,并说明理由(提示 :求出∠AOB的值,若∠AOB=180°,则A、O、B三点共线).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/24/d3915c8f-a87b-42db-84c2-30c52d33c1bd.png?resizew=171)
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解答题-证明题
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【推荐2】如图,已知
,
平分
,
平分
,求证
.
![](https://img.xkw.com/dksih/QBM/2022/1/2/2885870265827328/2888500688044032/STEM/3fc705f8-2d22-4bd1-9ee6-f59e057d53e9.png?resizew=233)
证明:∵
平分
(已知),
∴
( ),
同理
,
∴
,
又∵
(已知)
∴
( ),
∴
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727ad3e630a224303d6d3b8ad5c114ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bc6da80c5843d23ee18f3dfb709849d.png)
![](https://img.xkw.com/dksih/QBM/2022/1/2/2885870265827328/2888500688044032/STEM/3fc705f8-2d22-4bd1-9ee6-f59e057d53e9.png?resizew=233)
证明:∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc310194575262fb45352c2fbc19868.png)
同理
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494ba20b1444f524cf636961e4688ae8.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcf09ba65c8cfd4a12033a033775b317.png)
又∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd6f991557bac64eb2781dca73bb5736.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bc6da80c5843d23ee18f3dfb709849d.png)
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解答题-问答题
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【推荐1】如图,在直角
中,
,
是斜边
上的高,
,求:
(1)
的度数;
(2)
的度数.
对于上述问题,在以下解答过程的空白处填上适当的内容(理由或数学式)
解:(1)∵
,
(已知),
又∵
(______),
∴
(______).
(2)∵
(______),
∴
(等式的性质).
∵
(已知),
∴
(垂直定义).
∴
______
(等量代换).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8117b8e89b9aa4ed51fbaa8df8381c25.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/22/36026dba-fefd-4978-bd8f-8bcac2107f4c.png?resizew=144)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79cd9d0d73549e2944578f3513631ce5.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727ad3e630a224303d6d3b8ad5c114ba.png)
对于上述问题,在以下解答过程的空白处填上适当的内容(理由或数学式)
解:(1)∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8117b8e89b9aa4ed51fbaa8df8381c25.png)
又∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47cef7d4f8567532c1e8811532de5b28.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97d152110d486858471e62eea01559ed.png)
(2)∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d3cfa3d509e474754b6398f9186f8a4.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f90d99a4d74c7b70ea1a93ab932fe53.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/587458141d890533c0c32aa249a27ad0.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/967a1c427bfb4d6aa27c331c84d88ef1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8149f945bc591e8074e04e23dd39692.png)
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【推荐2】如图,∠AOB,点C在边OB上.
(1)过点C画直线CD⊥OA,垂足为D;
(2)过点C画直线CM
OA,过点D画直线DN
OB,直线CM,DN交于点E.
(3)如果∠AOB=50°,那么∠CDE=_________°.
(1)过点C画直线CD⊥OA,垂足为D;
(2)过点C画直线CM
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb31ef428bd9de9bc875b343feded3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb31ef428bd9de9bc875b343feded3c7.png)
(3)如果∠AOB=50°,那么∠CDE=_________°.
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【推荐1】如图,直线
,
相交于点O,且
.
,求
的度数.
(2)若
,求
的度数.
![](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/caea4e41982e2c5fe0a0c7e73af69c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2c338d725d490deaeb45156ac2f8266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fed1f57a835af4e9022e27603d12d31.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40d7428659d274924d40f79e847b1f53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/418ebb89d29f4f631b055c911e8d178a.png)
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