图①,图②均是
的正方形网格,
的顶点均在格点上.在图①,图②中,只用无刻度的直尺,在给定的网格中按要求画图,不要求写出画法,保留作图痕迹.
(1)在图①中画出线段
,使
垂直平分
,且点E,F均在格点上.
(2)在图②中
的边
上找到一点P,连结
,使
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b7bb621329c6e9fbe461f2e8ea8d1cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/1/08f3b8d1-a1cb-4054-8fc3-703e54a7f678.png?resizew=387)
(1)在图①中画出线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)在图②中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3c35508f62dc03d516cc0c544c68d0f.png)
更新时间:2024-04-01 21:39:50
|
相似题推荐
解答题-证明题
|
适中
(0.65)
【推荐1】如图,在
中,
,
,点D在
上,点E在
的延长线上,
,
的延长线交
于点F.
(1)求证:
;
(2)求证:
;
(3)若
,
,直接写出
的面积.
![](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/c287bb15494297df234f700f9f3a90d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b1d267eeb09c171c3e847f0597be31c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/7/dfa43977-81d9-49ac-b73f-849dabb5085c.png?resizew=140)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e8a0c5f4a95fb2699860fd3f638737e.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb91cb9a5a14169845d700fbd95890ac.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d71e6ea7333dbc78d0a7b9bc3892f940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ade06068471a9d76e32b417bef7551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
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解答题-问答题
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名校
【推荐2】如图,小区有一块三角形空地
,为响应中山市创建全国文明典范城市的号召,小区计划将这块空地种上三种不同的花卉,中间用小路
隔开,
.经测量,
米,
米,
米,
米.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/18/b62cb329-8b02-4f26-a330-f00221a81f9d.png?resizew=126)
(1)求
的长;
(2)求小路
的长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a0610d74da218154a7745619529101.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c38dfd14dde969702dff97ef2270f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dd90bfa2987b84df430498021d5f648.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f6f3d14d4c0d628472a0b5dbd603f53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bdf82f2b3ac77ee7b9b35aebe0dd83f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a9359141eaf878cd0813e2ddb7330f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/18/b62cb329-8b02-4f26-a330-f00221a81f9d.png?resizew=126)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)求小路
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
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解答题-证明题
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适中
(0.65)
【推荐1】如图,已知在Rt△ABC中,∠A=90°,M是BC边上的中点,P、Q分别在AB、AC,且PM⊥QM.求证:
.(提示:延长QM到N,使MN=MQ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee312867c06bc03e6947d24121f04e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/19/800bf603-4f47-466b-bac3-fc46605a5f2d.png?resizew=241)
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解答题-证明题
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【推荐2】如图1,四边形
中,
,
,
,经过点
的直线
将四边形分成两部分,直线
与
所成的角设为
,将四边形
的直角
沿直线
折叠,点
落在点
处(如图1).
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/9/69cab454-f239-4cb6-b307-cc4cd4f53986.png?resizew=300)
(1)若点
与点
重合,则
_______,
_______;
(2)若折叠后点
恰为
的中点(如图2),则
的度数为_________.
(3)在(2)的条件下,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30fbeb2f1f6ee7279885520d889bfc47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26ea9e9e42ced4f9b7540b368fbd171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e0a56dc304c481a435f8de256e4683c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](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/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb0b2fb47382e76af829559a75b48fca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/9/69cab454-f239-4cb6-b307-cc4cd4f53986.png?resizew=300)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
(2)若折叠后点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(3)在(2)的条件下,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fa45df4a024e913ef5c4e143b19f61b.png)
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解答题-问答题
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适中
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【推荐1】【操作】在如图的方格纸中(网格线的交点叫格点),按要求画图、填空.
的垂线,垂足为点D,该垂线经过的一个格点记为点E.
(2)过点E作
的平行线
,该平行线经过的一个格点记为F;过点B作
的平行线
,该平行线经过的一个格点记为G.
【发现】
与
的位置关系为______.
【概括】根据你的发现,概括一条事实或结论:______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)过点E作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
【发现】
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
【概括】根据你的发现,概括一条事实或结论:______.
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解答题-作图题
|
适中
(0.65)
【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,小正方形的边长为1,
的顶点均在格点上,要求只用无刻度的直尺,分别按下列要求画图,不要求写作法,保留作图痕迹.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/16/27411628-f47e-4ed7-8d50-76694854d381.png?resizew=553)
(1)在图①中画出
的高线
.
(2)在图②中画出
的中线
.
(3)在图③
的边
上找到一点F,使
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a96e9c2e2a15130d1d56a1d0e16b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/16/27411628-f47e-4ed7-8d50-76694854d381.png?resizew=553)
(1)在图①中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)在图②中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
(3)在图③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a5213776ed37aaefaba658d186317f.png)
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