1 . 下列图形中,与如图所示的
ABC相似的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/24/3afd20c6-e375-4a27-a5c3-0b477f4768b4.png?resizew=108)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/24/3afd20c6-e375-4a27-a5c3-0b477f4768b4.png?resizew=108)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 如图,线段AB、AC的垂直平分线
、
相交于点
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494ba20b1444f524cf636961e4688ae8.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5354d2e095a48d084ebe10804879d647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494ba20b1444f524cf636961e4688ae8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/21/e48e4b9e-cbdf-4399-87bc-0efb1dc1793a.png?resizew=193)
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3 . 如图,在
中,
,将
将绕点
逆时针旋转70°得到
,连接
、
,若
,则
的度数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/456e0f77d83975fdbdb60b499cb5b521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c021993da445858448d368df42554c8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6655cc150ddc9deba2254780984d0024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e0f0ccc8492a0ccf1eee24867060643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d16e82fdce2daa740b81cab5d0066db2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b19d0866a79564feaa106412bcc0a7f.png)
![](https://img.xkw.com/dksih/QBM/2021/10/22/2834984252514304/2837129002352640/STEM/822c2494-2eea-4f36-9f6f-f757f048bfc7.png?resizew=143)
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6卷引用:四川省广安实验学校2021-2022学年九年级上学期期中考试数学试题
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4 . 如图,在
ABE中,∠EAD = ∠EDA,∠EAC = ∠B.
![](https://img.xkw.com/dksih/QBM/2021/10/21/2834275786956800/2834677849260032/STEM/562cbc00-d715-437d-af4f-c291e07183f8.png?resizew=192)
(1)AD是∠BAC的平分线吗?为什么?
(2)若∠B = 50°,∠E = 40°,求∠ACE和∠BAD的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://img.xkw.com/dksih/QBM/2021/10/21/2834275786956800/2834677849260032/STEM/562cbc00-d715-437d-af4f-c291e07183f8.png?resizew=192)
(1)AD是∠BAC的平分线吗?为什么?
(2)若∠B = 50°,∠E = 40°,求∠ACE和∠BAD的度数.
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5 . 已知
中
,点
在
上,连接
,且
,
(1)如图1,求证
平分
;
(2)如图2,
分别为
上的点满足
,
,
求证:
;
若
,
,则
的周长为____________.(用含有
的式子表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0999e64863c966326150c5031f161d7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b0c6766bd801fa114221d0ab0bfa61.png)
(1)如图1,求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
(2)如图2,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ed1fce01430ae31294c29d626626f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ea428444b15d3c38060422a6adfaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/802e0288ee6f3bea38c5a539fed1a93a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1c9ae241fd78126274c65e17990c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ff981cc71e82d99f4577a1323e8e231.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c650fe55b7603f106c53ca2423451c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e267238a2ae0ecdbfed25069d15096a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78bc0078b37b3d62a59595cc7a3556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5a0a6e5b3f489a7032ea5116c96024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22b4218f00da487d3f63b9360144708f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/22/40717485-ebb6-4a38-bd41-43bd7de2c5c9.png?resizew=334)
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6 . 在下列条件:①
;②
;③
;④
中,能确定
ABC是直角三角形的条件有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d37cc78533679d206bc90b6990c26667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab0e4bd7f29427740857c68b554fe88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76de13b51d53a9fd6921e38acb6fdcee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b441db23e789aaa8c7362c1836fa4571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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7 . 如图,在△ABC中,AE是BC边上的高.
![](https://img.xkw.com/dksih/QBM/2021/10/13/2828348240994304/2828926333313024/STEM/a648b479deb343b1b167bfa0610b82c7.png?resizew=189)
(1)若AD是边BC上的中线,AE=3cm,S△ABC=6cm²,求DC的长;
(2)若AD是∠BAC的平分线,∠C-∠B=30°,求∠DAE的度数.
![](https://img.xkw.com/dksih/QBM/2021/10/13/2828348240994304/2828926333313024/STEM/a648b479deb343b1b167bfa0610b82c7.png?resizew=189)
(1)若AD是边BC上的中线,AE=3cm,S△ABC=6cm²,求DC的长;
(2)若AD是∠BAC的平分线,∠C-∠B=30°,求∠DAE的度数.
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8 . 已知,
是等边三角形,
于E,
于D,若
,则图中60度的角有_______ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3f5dc11efe60b4fd9a13b1d6b83842.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb2dd10731b99c0f4f89ee957f8a239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://img.xkw.com/dksih/QBM/2021/9/22/2813519136448512/2813783196557312/STEM/8c217034-fad5-4250-9444-c2b8dab7c966.png)
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9 . 如图,在
ABC中,CD平分∠ACB,E为边AC上一点,连接DE,EC=ED,过点E作EF⊥AB,垂足为F.
(1)判断DE与BC的位置关系,并说明理由;
(2)若∠A=30°,∠ACB=80°,求∠DEF的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
(1)判断DE与BC的位置关系,并说明理由;
(2)若∠A=30°,∠ACB=80°,求∠DEF的度数.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/6/183878f0-4937-4ca7-b639-c81cbea81677.png?resizew=148)
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10 . 已知三角形的三个内角的度数比为2:3:4,则它的最大外角的度数为( ).
A.![]() | B.![]() | C.![]() | D.![]() |
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