名校
1 . 如图,在锐角三角形
中,
,按以下步骤作图:①以点
为圆心,
长为半径作圆弧,交
于点
;②分别以点A、
为圆心,大于
长为半径作圆弧,计两弧交于点
;③作射线
,交
于点
,若
,则
的大小为( )
![](https://img.xkw.com/dksih/QBM/2021/6/11/2740679012474880/2740862356643840/STEM/fc71b5ae-90db-427a-aa2a-738e3fe282c2.png?resizew=256)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689196a03f24cc3cbe3a34bedbe38be0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4cb1a4c5afb590c7c17de14d15651e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b8b98b2f83279a49e94d9f48c5e6f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d9cc98e6df306063e645044f0faa7d.png)
![](https://img.xkw.com/dksih/QBM/2021/6/11/2740679012474880/2740862356643840/STEM/fc71b5ae-90db-427a-aa2a-738e3fe282c2.png?resizew=256)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-06-11更新
|
253次组卷
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4卷引用:2023年吉林省白山市长白县金华乡中学、八道沟镇中学等四校中考一模数学试题
2 . 下面是小明设计的“作一个含
角的直角三角形”的尺规作图过程.
已知:如图,直线
及直线
上一点
.
, 使得
,
.
①在直线
上取点
;
②分别以点
为圆心,
长为半径画弧,交于点
;
③作直线
,交直线
于点
;
④连接
.
就是所求作的三角形.
根据小明设计的尺规作图过程,
(1)使用直尺和圆规,依作法补全图形(保留作图痕迹);
(2)完成下面的证明:
证明:连接
,
,
.
,
是等边三角形.
.
,
点
在线段
的垂直平分线上(①)(填推理的依据).
.
.
(②)(填推理的依据).
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e874929e36b114ef4a7955fe040f812c.png)
已知:如图,直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb01d2b57580731c8b807ac8cffc8ba.png)
①在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
②分别以点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eee517985834c1713f2060790ce1465b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ece794a3e4a1e3543f25f9630cd7ae7.png)
③作直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
④连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
根据小明设计的尺规作图过程,
(1)使用直尺和圆规,依作法补全图形(保留作图痕迹);
(2)完成下面的证明:
证明:连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1642eec556eb252de9c1ab7bb5ca90b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7925da8290b87a83c678418ef96fac5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02647cf4960e9eec6e35d375288cf305.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9e118dc050489e3163f44ed025e0931.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf419ea7f2591a738019e91370e8d670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760311ce45f0ee072e87c20950d1ead2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcaeacf09a0619ab8609daf73e000e26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a3b625951c46d349486e0cb642138d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f8744897e1c69e7ab61d65166187f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eedec50871a20a4eb54e8f676bb5d517.png)
您最近一年使用:0次
2021-01-25更新
|
192次组卷
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4卷引用:吉林省白山市江源区2023-2024学年八年级上学期期末数学试题
吉林省白山市江源区2023-2024学年八年级上学期期末数学试题(已下线)吉林省白山市临江市2023-2024学年八年级上学期期末数学试题北京市丰台区2020-2021学年八年级上学期期末数学试题 河南省濮阳市范县2023-2024学年八年级上学期期中数学试题