1 . 下列说法错误的是( )
A.直线![]() ![]() | B.画一条3厘米长的线段 |
C.若线段![]() ![]() ![]() | D.一个角的补角一定大于这个角 |
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2 . 如图,点A,B,C三点共线,
是
的平分线,
是
的平分线,已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2770dab78b716d2dc2c922b3041b8d7f.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cfc2771aa0d5b97d2297f8a26a6f6b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79cd9d0d73549e2944578f3513631ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4bdc981e9069fcfa24e627284bf78b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2770dab78b716d2dc2c922b3041b8d7f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/1/0114a30f-c9cb-497a-882a-4db0b24984ab.png?resizew=159)
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3 . 下列结论中不正确的是( )
A.一个角的补角一定大于这个角. | B.一个角的度数为![]() ![]() |
C.若![]() ![]() | D.一个角的余角是这个角的2倍,那么这个角是30度. |
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4 . 如图,以点O为观测点,射线
,
,
,
分别表示正东、正南、正西、正北方向.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/7/b6b5bb61-1f34-43ea-ae97-7e7abf60bdf4.png?resizew=184)
(1)射线
表示 方向 ;
(2)画出表示下列方向的射线:
①射线
,表示南偏东
;
②射线
,表示南偏西
;
③射线
,表示西北方向;
(3)图中
°;
(4)图中
的补角是 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598c4ff9fc8518fa4829e39254d3f6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c02e337793f2e55cc669cfcbc8c1be1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddea492b767363d8f6da774b25789203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075bc6df108c9c2b3b5ac46bca7c8d3a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/7/b6b5bb61-1f34-43ea-ae97-7e7abf60bdf4.png?resizew=184)
(1)射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae7a3e520a16d4fdd73c4e6a4ce7be0e.png)
(2)画出表示下列方向的射线:
①射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d62e8aadaadebf1454fde21a390ebdea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ad1b0a76a887783392268ae203ad22.png)
②射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6967ebd791092c62b4ef97924d91883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb90b8c8cadeb19eaf4e2abec1ab413.png)
③射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c042ff18466e8165fadf343d142a4b0.png)
(3)图中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48c2e1614e0da3918eba62270d0f2752.png)
(4)图中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826fa702e700b8536f77e44b134ce334.png)
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5 . 已知:
,
,且
的补角等于
的余角,则下列结论一定正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42cf618a20aefaf81a0309478df80611.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18ecc3e03ec935461ad9a16748600533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b69d40b75d582c4b8ffa2369af1d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d57899ad4774aed9ccc7bd23db72153.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
6 . 要说明命题“任何一个角的补角都大于这个角”是假命题,可以举的反例是( )
A.该角等于![]() | B.该角等于![]() | C.该角等于![]() | D.该角等于![]() |
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2023-12-11更新
|
183次组卷
|
3卷引用:福建省漳州市长泰县福建省长泰第一中学2022-2023学年八年级上学期期末数学试题
7 . 如图所示,
是直线
上的一个点,
.
![](https://img.xkw.com/dksih/QBM/2023/9/20/3329041593344000/3329401044287488/STEM/94608e9290d9407990ea8487584c0cb9.png?resizew=175)
(1)写出图中互余的角和互补的角;
(2)若
的余角的3倍比它的补角少
,求
的度数.
思维过程展现:
(1)观察图形,因为
,所以![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66b05714b8620eba2f56084a91442533.png)
______________
,则图中互余的角为______________ 与______________ ,互补的角为______________ 与______________ ,______________ 与______________ .
(2)由“
的余角的3倍比它的补角少
”,可以设
,由题意得______________ ,解得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______________ .所以![](https://staticzujuan.xkw.com/quesimg/Upload/formula/021bc0ff7e36c9d6d70ddd2e51e8c04c.png)
______________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ba1f04ac2b3498c50c39dfcc1e030be.png)
![](https://img.xkw.com/dksih/QBM/2023/9/20/3329041593344000/3329401044287488/STEM/94608e9290d9407990ea8487584c0cb9.png?resizew=175)
(1)写出图中互余的角和互补的角;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed66570f697459aba9daa2eaf9460bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ccc30d7dcade65397851643a607388c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fed1f57a835af4e9022e27603d12d31.png)
思维过程展现:
(1)观察图形,因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c7ce98569ab27e5d91f96710592dd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66b05714b8620eba2f56084a91442533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83873a9d782f2588c5eedbfe73f9bc2f.png)
(2)由“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed66570f697459aba9daa2eaf9460bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ccc30d7dcade65397851643a607388c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075f44f8b8c3d3bf0cd380b7a8f1b8f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/021bc0ff7e36c9d6d70ddd2e51e8c04c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83873a9d782f2588c5eedbfe73f9bc2f.png)
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8 . 下列说法(1)两个数比较.绝对值大的反而小;(2)0乘以任何数都得0;(3)两数相除,同号得正,异号得负;(4)等角的补角相等;(5)如果一个数的绝对值等于这个数本身,那么这个数是正数.其中正确的个数为( )
A.1个 | B.2个 | C.3个 | D.4个 |
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9 . 下列说法错误的是( )
A.角的大小与所画边的长短无关 | B.一个周角等于![]() |
C.锐角和钝角一定互补 | D.角是由一条射线绕着端点从起始位置旋转到终止位置所成的图形 |
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10 . 如图,线段
与射线
有一公共端点
,已知
,且
.在所给图中,用尺规作图.(不写作法,保留作图痕迹,需写结论)
(1)作线段
的中点
;
(2)作
的角平分线
;
(3)在图中找出所有与
互补的角________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff5c21185c13eae675906dabd3593c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60096d11a222426d712390d3aad75ff7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/8/84a01dec-4a3e-4e51-816c-7f9e57090696.png?resizew=231)
(1)作线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
(3)在图中找出所有与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
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