如图,是由小正方形组成的
网格,每个小正方形的顶点叫做格点,
的三个顶点都是格点,点
与点
关于格点
所在的直线对称.仅用无刻度直尺在给定网格中按要求画出下列图形,并回答问题.(画图过程用虚线表示,画图结果用实线表示).
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/5/3d5f98c7-1998-4f40-9a5f-3ab9e873b70e.png?resizew=190)
(1)直接写出
________
;
(2)画
的高
;
(3)在
上找一点
,使
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ee15e68feeddd1df0f024d85d1b846b.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/5/3d5f98c7-1998-4f40-9a5f-3ab9e873b70e.png?resizew=190)
(1)直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41db498f025052df2dbb1e50ab672675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83873a9d782f2588c5eedbfe73f9bc2f.png)
(2)画
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6655e2fa64a32cd12fe0279afd65d73.png)
(3)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dd72e399cbc9beead45a955482dd315.png)
更新时间:2024-04-05 22:38:50
|
相似题推荐
解答题-证明题
|
适中
(0.65)
【推荐1】如图,
、
是
的高,它们相交于点O,点P在
上,Q在
的延长线上,且
,
.
(1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d56412d3a3e23b4f50e589543eef7205.png)
(2)
和
的位置关系如何,请给予证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd09eae1047bd5986ce271d0fa72dc4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac760c453d96e96e2a85a2d19940e854.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/22/c836d739-1226-4c97-8523-0fc6635e0176.png?resizew=137)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d56412d3a3e23b4f50e589543eef7205.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
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解答题-问答题
|
适中
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【推荐2】如图,在等边△ABC中,点D为边BC上一点,∠ABE=∠CAD,CF∥BE交AD的延长线于点F.
![](https://img.xkw.com/dksih/QBM/2022/1/20/2898374130073600/2921330823503872/STEM/b7e7efa9-4a12-459d-ba98-cea46de2aa60.png?resizew=141)
(1)求∠AEB的度数;
(2)若BE=10,AF=15,求AE的长.
![](https://img.xkw.com/dksih/QBM/2022/1/20/2898374130073600/2921330823503872/STEM/b7e7efa9-4a12-459d-ba98-cea46de2aa60.png?resizew=141)
(1)求∠AEB的度数;
(2)若BE=10,AF=15,求AE的长.
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐1】如图,在平行四边形
中,
相交于O,
交
于E点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/68bd93a9-151e-4dd7-80d1-e7822e386039.png?resizew=144)
(1)求证:
平分
;
(2)若平行四边形
的周长为20,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d0b0b7d07ac1aebab6b6f1e8c6acdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b836a0f9c491f85767e8f6695576fd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/68bd93a9-151e-4dd7-80d1-e7822e386039.png?resizew=144)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060705794ef87cc71dac40c57f27b1d2.png)
(2)若平行四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
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解答题-证明题
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【推荐2】如图,已知AE平分∠BAC,ED垂直平分BC,EF⊥AC,EG⊥AB,垂足分别是点F、G.求证:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/3/d05cda95-a048-47c9-bbea-5ea9ed54b9a5.png?resizew=205)
(1)BG=CF;
(2)AB=AF+CF.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/3/d05cda95-a048-47c9-bbea-5ea9ed54b9a5.png?resizew=205)
(1)BG=CF;
(2)AB=AF+CF.
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐1】如图,在
中,
,以
为直径的
交
于点D,延长
交
于点E.连接
交
于点F.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/ce4bff30-fbe3-48fe-a9fa-5741e4257d59.png?resizew=200)
(1)求证:
是等腰三角形.
(2)当
,
时,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b49022a6f55817b5d7e3ab443b5491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8946331b0a9d86e1a9c78797f3021455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/ce4bff30-fbe3-48fe-a9fa-5741e4257d59.png?resizew=200)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d631f45bc652539853f236952afa5bbf.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e673ef2d48215ca84a48377f17d6df00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/025df2a9934b457cf20d91604e430612.png)
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您最近一年使用:0次
解答题-证明题
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适中
(0.65)
名校
【推荐2】在平面直角坐标系中,已知
(其中
),
且
.
![](https://img.xkw.com/dksih/QBM/2023/1/7/3147697642078208/3148550560202752/STEM/5c4cb880286e4aa4a5469b27c439989e.png?resizew=370)
(1)三角形AOB的形状是 .
(2)如图1.若
,C为OB中点,连接AC,过点A向右作
,且
,连CD.过点
作直线MP垂直于x轴,交CD于点N,求证:
.
(3)如图2,E在AB的延长线上,连接EO,以EO为斜边向上构等腰直角三角形EFO,连接AF,若
,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/296c31eaede57efe89ffb83f02ad4622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5612d598e27ac2ce0ab89fb63538bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f8a990062fc3f4b899147452f46fbe4.png)
![](https://img.xkw.com/dksih/QBM/2023/1/7/3147697642078208/3148550560202752/STEM/5c4cb880286e4aa4a5469b27c439989e.png?resizew=370)
(1)三角形AOB的形状是 .
(2)如图1.若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c84818cfbd9a885081cb4e3294eabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35333abd7f02d663d15251bc5cbbf921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc13fe21e64d9b45614ed43be847904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a29ba49963134a7232fa8574105fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/862d46c2f83c7cfc7a58f8f411f6b839.png)
(3)如图2,E在AB的延长线上,连接EO,以EO为斜边向上构等腰直角三角形EFO,连接AF,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbd8e8c759858fb3d3132605d44e865.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
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解答题-作图题
|
适中
(0.65)
【推荐1】网格中,我们把各顶点都在格点上的三角形称为格点三角形.如图是边长为1个单位的小
正方形组成的网格,已知△ABC,AB=
,BC=
,AC=2
,请在这个网格中按要求仅用无刻度的直尺作图(保留作图痕迹,不写作法);
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/28/3ee29815-f6b6-4412-b34d-42142bde4477.png?resizew=149)
(1)画出格点三角形ABC,标上相应字母,并求出△ABC的高AH的长;
(2)①画出△ABC的中线AD;
②标出格点E,画线段AE,使AE平分∠BAC,并说明理由.
正方形组成的网格,已知△ABC,AB=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50690dab38f4512eb72e18b7f86cf6f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92cb9a526f2b146415a98051b4e58b42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50690dab38f4512eb72e18b7f86cf6f6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/28/3ee29815-f6b6-4412-b34d-42142bde4477.png?resizew=149)
(1)画出格点三角形ABC,标上相应字母,并求出△ABC的高AH的长;
(2)①画出△ABC的中线AD;
②标出格点E,画线段AE,使AE平分∠BAC,并说明理由.
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解答题-作图题
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适中
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【推荐2】如图,在4×4的正方形网格中,点A、B、C均为小正方形的顶点,用于刻度的直尺作图,不写作法,保留作图痕迹;
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/29/38356dbf-0e4b-4fd5-935e-740854255310.png?resizew=360)
(1)在图1中,作
与
全等(点D与点C不重合);
(2)在图2中,作
的高
;
(3)在图3中,作
(点F为小正方形的顶点,且不与点B重合).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/29/38356dbf-0e4b-4fd5-935e-740854255310.png?resizew=360)
(1)在图1中,作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c505c02c59313fe0108392a5bf5127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c65edad25ddd666cdce0d7e5afefc9.png)
(2)在图2中,作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c65edad25ddd666cdce0d7e5afefc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
(3)在图3中,作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de519cab8b450befd70278952ed17914.png)
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