期中复习 易错知识点 专项练 2026-2027学年人教版数学八年级上册

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期中复习  易错知识点   专项练    2026-2027学年上学期初中数学人教版(新教材)八年级上册

一、单选题

1.围棋起源于中国,古代称之为“弈”,至今已有四千年的历史.下列由黑白棋子摆成的图案是轴对称图形的是(    )

A.@@@1ff6a546-a462-406a-b4e5-abc594f415da   B.@@@4e7fcafd-5406-48fe-81d8-7cea3900b81d   C.@@@dfc61cc0-e28a-4247-b371-61d10a6ed011   D.@@@ed8ec778-2e81-4291-ba21-3e4737571444  

2.平面直角坐标系中,点eqId4d03268e486f9fb09a44eca7d8ff7a9b关于y轴对称的点的坐标为(    )

A.eqId7de012bf98f137d6db8975496fddd3ba B.eqId238f0ea276a00ae8d681ce00cc11c8ea C.eqId433a22ca7b1ca3f0f5ffbe97cd5d7282 D.eqId97fe88412da03cc114f2250593293217

3.下面四个图形中,线段eqIdd40b319212a7e7528b053e1c7097e966是eqId15c0dbe3c080c4c4636c64803e5c1f76的高的是(     )

A.@@@d9c42ed0-894d-4a04-b0de-60e5b57c2861 B.@@@c89ff206-7105-41f5-a688-bd330eb25561 C.@@@aa00ae3c-f64c-446f-8176-4b7b2afb6648 D.@@@3be0e3a1-acb3-48d0-9822-c70aa6c6b467

4.如图,在eqId15c0dbe3c080c4c4636c64803e5c1f76中,已知点eqId8455657dde27aabe6adb7b188e031c11,eqId2a30f3a8b673cc28bd90c50cf1a35281,eqIda0ed1ec316bc54c37c4286c208f55667分别是边eqId0dc5c9827dfd0be5a9c85962d6ccbfb1,eqId03902478df1a55bc99703210bccab910,eqId4eedae8d316c76e3d0b451256de03fb9的中点,且eqIdd28ea4a32110f63dd2ce40da8fe67ccf,则eqIdc577618f4999c31231a03e90d7b8c81f等于(    )

@@@4ea08ce9-5c8e-4102-a202-3fed208c7125

A.eqId92c258d2be23084686379c3c279f54ac B.eqId168487ff53e9fb74f786a7e6e78823e1 C.eqIdcf06ffdb804e17cd118e66063fbf8591 D.eqIdde5b5435909406672dca4c9e216ead38

5.如图,在eqId15c0dbe3c080c4c4636c64803e5c1f76中,eqId85c4bdfb0db1e31e8459df1d15f9ab55,eqId4eedae8d316c76e3d0b451256de03fb9分别平分eqIdd39b8d91afc34e4a9b0fdbb6bafb9087和eqId8fabb884dc5f9609de491245463bbe9a,eqId85c4bdfb0db1e31e8459df1d15f9ab55的延长线与eqId15c0dbe3c080c4c4636c64803e5c1f76的外角eqIdbdb8eca20ce2c918ea4034ea15210c7f的平分线交于点eqIda0ed1ec316bc54c37c4286c208f55667.以下结论:eqId510ee0446c767a4c0daf9b5513011365,eqIddd152740962417903780e9e4c4516b78,eqIdf78809083395e3f665e320ce4e7fb094,eqIdc8a814f559e88b1e633a3d6733b3f009.其中正确的是(    )

@@@2ea4da9f-d5ec-4a05-a008-44a3569b6039

A.eqId9b531564d37db9c59796e9a80f228e49 B.eqId4f30fda6ce37e2ed50710359d4118436 C.eqId4aca1ef57935bead446d3b9551d2dcd1 D.eqId83225bd80e3116404072705b8bd59480

6.已知点eqIdc5db41a1f31d6baee7c69990811edb9f在线段eqId85c4bdfb0db1e31e8459df1d15f9ab55上,分别以eqId0dc5c9827dfd0be5a9c85962d6ccbfb1、eqId4eedae8d316c76e3d0b451256de03fb9为边作等边三角形eqId7bef5239ddbb0972700ce01daf9ee7cf和等边三角形eqId422210c777ac0d625bbd81cc7601bf9b,连接eqId68a83fdd2ba72a2dba0b6b10bb3e06b9与eqId9d78abbad68bbbf12af10cd40ef4c353page number 0

 

 

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相交于点eqId54a5d7d3b6b63fe5c24c3907b7a8eaa3,连接eqIdd40b319212a7e7528b053e1c7097e966与eqId60ef95894ceebaf236170e8832dcf7e3相交于点eqIdac047e91852b91af639feec23a9598b2,连接eqId828628c0876b45381c9a0edeb0fec236、eqId411461db15ee8086332c531e086c40c7,则①eqIdf7e6363330b33ca9feda927e6ffd3088;②eqIddb609c0ddcb9af21ddbf443d3e527cfa≌eqIdf955e5cc9f108de6f3ca01e5eb84c52e;③eqIdd5064278c32cfbcf0ea2c0b5c2c777d9;④eqId1e856c15c61d7cb6ebd8daef542a4e7f是等边三角形;⑤eqId828628c0876b45381c9a0edeb0fec236平分eqId7307ac7510cf35f74337d368b94da4e5;⑥eqIdd7e25c0b82108eb4e477d91e55b37a0a;以上结论正确的个数是(    )

@@@ba3fffb8-c779-4efc-bb33-54eebca1ddcc

A.eqId5ca7d1107389675d32b56ec097464c14个 B.eqIdb8860d9787671b53b1ab68b3d526f5ca个 C.eqIdd91e07104b699c4012be2d26160976a2个 D.eqId6f8c4c029e552954bd493b49aeab82d5个

7.如图,在锐角eqId15c0dbe3c080c4c4636c64803e5c1f76中,eqId65fc998d33cdf37c272f79cfd64b7b99,eqIdf52a58fbaf4fea03567e88a9f0f6e37e的垂直平分线分别交eqIdf52a58fbaf4fea03567e88a9f0f6e37e、eqId0dc5c9827dfd0be5a9c85962d6ccbfb1于点D、E,eqId60ef95894ceebaf236170e8832dcf7e3的垂直平分线分别交eqId60ef95894ceebaf236170e8832dcf7e3、eqId0dc5c9827dfd0be5a9c85962d6ccbfb1于点F、G,eqId929adbe2211b012b66fe725d478274c3,则eqId00870385ca7f3214e2971779eb4c7904的周长为(     )

@@@695357cc-deee-4e1c-b2bb-b2a0e3ca4199

A.11 B.10 C.9 D.8

8.如图,已知△ABC是等边三角形,点B,C,D,E在同一直线上,且CG=CD,DF=DE,则∠E=(  )

@@@98ea1bb2-1e6e-4087-9f16-98873c9162dd

A.15° B.20° C.25° D.30°

9.如图1,eqId15c0dbe3c080c4c4636c64803e5c1f76与eqIdd1dc5667bbf205d6c6c6d189ebda123e满足eqId71d364dff17063bdd15184c3129e012f,eqIda97b67b495ea2cdd9bddb38756ddf7b2,eqId9ec1985d43ef1f203597a40a47c4caab,eqId2d9d7a15991eeeac2e9a6f8a9fe177ff,我们称这样的两个三角形为“调皮对等三角形”.如图2,eqId52273305805769a438772342b53c289e,则图中共有“调皮对等三角形”(     ).

@@@2c9454e2-f7e0-4737-86db-3ef4fdfc0dae

A.7对 B.6对 C.5对 D.4对

10.如图,在eqIde428e7a09732be85c1224e9c8f6a71c5中,eqId6ab41054fa9ce51b68e78d9c0cf398d9,eqIdb3182db896bc2462331796e2a6108363为eqIde1a9c6a736e6eac98a676fa3232db5a5边上的高,eqIdd0213c5787a5a6b38d11bceca5567f67平分eqIdc4d6c58289ca67c8ccad0634ef8d1dec,点eqIda0ed1ec316bc54c37c4286c208f55667在eqIdb3182db896bc2462331796e2a6108363上,连接eqId0215e13a9fb5574d5194aeb9507a98aa并延长交eqId764509115979e9958101808383672ec0于点eqId895dc3dc3a6606ff487a4c4863e18509,若eqId0e78829dfbbc34559bac602e16728318,eqId24fda52c9853aed4a082f6f11d7f1ed7,有下列结论:①eqIdcfdf9f007a1f3b52516200bc2173ee09;②eqIde74c93d7bc0b5c2b61f9ddee06ad0eb2;③eqIdfa6a4c2eb15d9fc438583c50f84036f2;④eqId501d4600d24c643a477d27618de17f89.其中正确的结论有(    )page number 1

 

 

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@@@1e46d393-651d-4e89-ac64-cd83a3841551

A.①②③④ B.①②③ C.①②④ D.②③④

11.如图,在eqId6c8807117d0d649419fdda04c531cdc0中,eqIded10df4140819d5451773a45de66201b,eqId90b40c2b0ab8e1cfe5112d428b4b829f的角平分线eqId03902478df1a55bc99703210bccab910,eqId85c4bdfb0db1e31e8459df1d15f9ab55相交于点eqIddad2a36927223bd70f426ba06aea4b45,过点eqIddad2a36927223bd70f426ba06aea4b45作eqId13508fdc9e840fe612431360a6d451ee交eqId0dc5c9827dfd0be5a9c85962d6ccbfb1的延长线于点eqIda0ed1ec316bc54c37c4286c208f55667,交eqId60ef95894ceebaf236170e8832dcf7e3于点eqId73465a1f9aa03481295bf6bd3c6903ac,则下列结论:

①eqId68fddda9e7f4d7140bf357d76c9e23d1;

②eqId693e97165f2325f76d543415bb2b356f;

③eqIdc7e4fa04825ac7d071968056322d88be平分eqIde7d19f963f7c803bcfcbb265ec6d4304;

④eqIde61701377153788787684b302c4a0b00;

⑤eqId75e8576e544bb6850589b0225429c721.

其中正确的结论的个数是(    )

@@@9d69fda67d2447559906ee62ceb111c1

A.4个 B.3个 C.2个 D.1个

12.已知等腰eqId15c0dbe3c080c4c4636c64803e5c1f76中,eqId047dc9795efa99b6fb9fdf9778085dab,两腰的垂直平分线交于点P,已知eqId2d629fc49cf06fc0c58c4aa616a64411,则等腰三角形的顶角为(    )

A.eqId2fb94bd9eb80fb9f5f02f518bb8f2211 B.eqId0aee6e4e9350a2665df8597ff8045bbd C.eqId2fb94bd9eb80fb9f5f02f518bb8f2211或eqIdcef5188670b78eecf710cdf8d080462f D.eqId2fb94bd9eb80fb9f5f02f518bb8f2211或eqId85e283d58ea8a48989988ce61df58688

二、填空题

13.如图,eqId15c0dbe3c080c4c4636c64803e5c1f76的三边长分别是eqId6f8c4c029e552954bd493b49aeab82d5,eqIde8d02ea8c4988c5c28ab93f0d70fb55a,eqId45e61680ffc6f940bd5b8afda3ae9c59,其三条角平分线将其分为三个三角形,则eqId1fb0fcd92ef46540ed08ba2bd4feaf3b___________

@@@27adb334-763d-4dca-a87b-c37f88fe8ef0page number 2

 

 

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