如图,在正方形网格中,每个小正方形的边长都为1,的三个顶点均在格点上,请按要求完成下列问题(用无刻度的直尺和圆规作图,且保留必要的作图痕迹):
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae248960d8c1677cf948f8251275e863.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42acd3ee01d9f843a8579ffb0b7d9d82.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
更新时间:2024-03-21 11:06:31
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相似题推荐
解答题-作图题
|
适中
(0.65)
【推荐1】如图,四边形
是平行四边形,
是对角线.
的垂直平分线
(不写作法,保留作图痕迹);
(2)①若(1)中所作的垂直平分线
交
于点
,交
于点
,交
于点
,连接
,
,判断四边形
的形状,并说明理由;
②若
,
,
,则四边形
的面积为______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa29fe6cd9eb51c184f6299d437375cb.png)
(2)①若(1)中所作的垂直平分线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa29fe6cd9eb51c184f6299d437375cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79ff575e55857af133edb24c8e61504f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b41d4070854edfaa24071137b314cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab954a78760b37cca4c2ead34e72bf8e.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7fa3aea72ccc36948a4a90f7368f71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78546f6be863ec2e9a0c8461c0f9f3dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f52dbad9494cac359ecebe70230e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab954a78760b37cca4c2ead34e72bf8e.png)
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解答题-作图题
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适中
(0.65)
【推荐2】如图,平面上有三个点A,
,
.
![](https://img.xkw.com/dksih/QBM/2022/1/21/2899156087545856/2916953311068160/STEM/7f152363-c170-4e89-8efc-ac402516a12d.png?resizew=148)
(1)根据下列语句按要求画图.
①画射线
,用圆规在线段
的延长线上截取
(保留作图痕迹);
②连接
,
;
③过点
画
,垂足为
.
(2)在线段
,
,
中,哪条线段最短,并说明依据.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/2022/1/21/2899156087545856/2916953311068160/STEM/7f152363-c170-4e89-8efc-ac402516a12d.png?resizew=148)
(1)根据下列语句按要求画图.
①画射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/525cef76ab5396af0846205d665388bf.png)
②连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
③过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f913298f0fae9f55377a8deab9f099dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
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解答题-证明题
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适中
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【推荐3】《义务教育数学课程标准(2022年版)》是风向标,梅老师通过查阅新课标获悉:切线长定理由“选学”改为“必学”,并新增“会过圆外的一个点作圆的切线”.在《切线的性质与判定》学习完毕后,遂命制一题:“已知:如图,
及
外一点P.求作:直线
,使
与
相切于点B”.李华同学经过探索,想出了两种作法.具体如下(已知点B是直线
上方一点):
请仔细阅读,并完成相应的任务.
(1)“作法一”中的“依据”是指_______________.
(2)请写出“作法二”的证明过程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
作法一(如图1): | 作法二(如图2): |
1.连接![]() ![]() ![]() 2.以点A为圆心,以 ![]() ![]() ![]() ![]() 3.作直线 ![]() ![]() ![]() | 1.连接![]() ![]() ![]() ![]() 2.以点O为圆心,以 ![]() ![]() 3.连接 ![]() ![]() 4.作直线 ![]() ![]() ![]() |
证明:如图1,![]() ![]() ![]() ![]() ![]() ![]() ∴直线PB是 ![]() | 证明:…… |
(1)“作法一”中的“依据”是指_______________.
(2)请写出“作法二”的证明过程.
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解答题-问答题
|
适中
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【推荐1】如图,在边长为1的小正方形组成的网格中,
和
的顶点都在格点上,判断
和
是否相似,并说明理由;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/6/26f3fdab-7093-463d-a266-6b0aadadffee.png?resizew=225)
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解答题-问答题
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适中
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【推荐2】图①、图②、图③均是
的正方形网格,每个小正方形的顶点称为格点,点A、B、C、D、E、F均在格点上.只用无刻度的直尺按下列要求在给定的网格中画图,所画图形的顶点均在格点上,不要求写画法.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/7bfbc3c3-918d-4d24-b062-a16c5fa9883b.png?resizew=400)
(1)在图①中以线段
为一腰画一个等腰锐角三角形
;
(2)在图②中以线段
为底画一个等腰直角三角形
;
(3)在图③中画等腰钝角三角形
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52826bd7b435a231c6eb5b79fbf7c5be.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/7bfbc3c3-918d-4d24-b062-a16c5fa9883b.png?resizew=400)
(1)在图①中以线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f9da0507a3ba13bb9e51bbb503d98d.png)
(2)在图②中以线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ffb98f1e3c1317c0db403d3af04bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e761639f8b26595dea4b35bf1dfdc7.png)
(3)在图③中画等腰钝角三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7a27845685b6507a4a8374f8925ddc4.png)
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解答题-问答题
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适中
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【推荐1】如图所示的网格中,
的顶点C的坐标为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/29/844f4a66-acc1-4b7c-a5f3-e5e07173ea06.png?resizew=179)
(1)根据C点的坐标在网格中建立平面直角坐标系,并写出点A,B两点的坐标;
(2)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3654254401fc902c3cb4912969f21f88.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/29/844f4a66-acc1-4b7c-a5f3-e5e07173ea06.png?resizew=179)
(1)根据C点的坐标在网格中建立平面直角坐标系,并写出点A,B两点的坐标;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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解答题-作图题
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适中
(0.65)
名校
【推荐2】如图所示的正方形网格中,每个小正方形的顶点称为格点,每个小正方形的边长均为1个单位长度,
的三个顶点均在格点上,点O、M也在格点上.要求只用无刻度的直尺,在给定的网格中按要求画图.
先向右平移5个单位长度,再向下平移5个单位长度后得到的
.
(2)画出
关于直线
对称的
.
(3)画出
绕点O按顺时针方向旋转
后得到的
.
(4)
的面积是 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
(2)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a0397c811fe80c80ecd5b871201987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828dc8dc7259c510b6d63abf40f60e90.png)
(3)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7a0387fc1258f31e44a10068c0ccfd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9be9dd0c6b8db3b2e20c3043297c022.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
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