第13-15章 精选题练习 2026-2027学年人教版八年级数学上册

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第13-15章精选题练习-2026-2027学年数学八年级上册人教版

一、单选题

1.下列是部分银行的标志图,其中是轴对称图形的是(    )

A.@@@0c4c9ded-8c45-432a-947d-c733fe13099f B.@@@64d4f63c-1eff-4669-aa03-1edcade04ebf C.@@@e1f810e1-4774-4f52-81f2-b39f602f00ba D.@@@b4358e7e-f2db-400a-92b9-113f34cab9fe

2.要与两根长分别为eqId93841fd3094aa28dd80ca164fce22ff2和eqId095ab4a92bf822e175d370e6d0c8a730的木棒围成一个三角形,则第三根木棒的长可以是(    )

A.eqId4dd6f4250ca6b1b9bce234a01f00d44d B.eqId9d1b7aa6e3693af226ef7324c37534c1 C.eqId80b1fe1b971b780e443a9b13621611c5 D.eqIdce710269ec0786472cad1bb73ee7d3ad

3.若eqId15c0dbe3c080c4c4636c64803e5c1f76的边长分别为eqId0a6936d370d6a238a608ca56f87198de,eqId2c94bb12cee76221e13f9ef955b0aab1,eqId071a7e733d466949ac935b4b8ee8d183,它的三个内角度数分别为eqIde170f206fdbbd834aad7580c727e2cc6,eqId5b5858ee1ce52b251816757257a11c29,eqId9f435efcc7869eec21bdba1ed81dc3f5,且eqId1b1e503d422995faddcf7ee628f12c09,则eqId15c0dbe3c080c4c4636c64803e5c1f76一定是(     )

A.等腰或直角三角形 B.等腰直角三角形

C.等腰三角形 D.直角三角形

4.若eqId33be8b9d691c468fad17b0a3a8cd7a8c,则eqId50e8c257f5615d30660cef4157c6b273等于(     )

A.eqId2fb94bd9eb80fb9f5f02f518bb8f2211 B.eqId6db4f0391c6406ff2da3c1f8d0ca5dfd C.eqIdbe6a6301878fed2a01413020b27310a5 D.eqId9c5b696c0ca68ec19b9127c1675051f8

5.如图,用直尺和圆规作一个角等于已知角,能得出eqId7face39ae13e5ace885b20e1e1d71c4e的依据是(     )

@@@a81ad1b8-0f85-4cda-b4c1-e07bfc781580

A.eqIdc5a290f047f50481318d040c604d72f7 B.eqId4351a730f61bb998bab8f0b7848912d7 C.eqId9beb8b968744573e593ac28451c69729 D.eqId6720e36b02193db161c61d4017673760

6.如图所示,已知点eqId8455657dde27aabe6adb7b188e031c11是eqId15c0dbe3c080c4c4636c64803e5c1f76的重心,连接eqIdd40b319212a7e7528b053e1c7097e966并延长,交eqId60ef95894ceebaf236170e8832dcf7e3于点eqId2a30f3a8b673cc28bd90c50cf1a35281,若eqId070bc896d35495237fd65576e9b6f88e,eqId9f08273d339dc5ddbb89aa67bb8205e6,eqIddae8221601c7bd5c51fd520615581fa1,则eqId2657e02314469ad2b13d31dce41b4343与eqIdedac74b0b43760ebe9fe895201305a6c的周长之差为(     )

@@@8aa936b2-ccdb-4840-ae04-42451727224d

A.2 B.3 C.4 D.7

7.将一副直角三角板(eqId15c0dbe3c080c4c4636c64803e5c1f76和eqIdc15514bc735fe4b744672edefe00009c)按如图所示方式叠放在一起,eqId7c6477888c90fd0f581e54a9c3fc0f4e,边eqId0dc5c9827dfd0be5a9c85962d6ccbfb1与eqIdd40b319212a7e7528b053e1c7097e966在一条直线上,则图中eqId780d8fd6c6c1deeeb45e15f639719e02的度数为(    )page number 0

 

试卷第1页(共1页)

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@@@6a7def73-1c34-4d7e-9acf-ad290492b1f8

A.eqId225803a7818b0985a1b96d8e0a627251 B.eqId68a4c9b697e3df2b5469b71d3b5e47a2 C.eqIdfd40d7a5622cfc837a6f491eb14edf9b D.eqId67574d7f0bcea29fdbf6efbc68f282ba

8.如图,eqIdeeec7154148c064e6c867e5bf91fc1e2,eqId34332340b98d54860694b8b1254cb857,eqIdbff3697b399041b33528362ee2f327b4,点eqIddad2a36927223bd70f426ba06aea4b45在线段eqIdf52a58fbaf4fea03567e88a9f0f6e37e上以eqId6217a3099d126ffe670190d64eaf8308的速度由点eqId5963abe8f421bd99a2aaa94831a951e9向点eqId7f9e8449aad35c5d840a3395ea86df6d运动,同时点eqIdacc290b44635265137fdf13146b6a6d9在射线eqIdd40b319212a7e7528b053e1c7097e966上运动,它们运动的时间为eqIdd744165d6aad705f64de41a9d931750a(当点eqIddad2a36927223bd70f426ba06aea4b45运动结束时,点eqIdacc290b44635265137fdf13146b6a6d9运动随之结束).点eqIdacc290b44635265137fdf13146b6a6d9的运动速度为eqIdf6ffac5f127bdc7a0972396b96f3a5d2,当eqId147de24f071e316b68fd2e78e3c84545与eqIde8dcc9f79fe5f07f25447aa442ee14ad全等时,eqId81dea63b8ce3e51adf66cf7b9982a248的值是(     )

@@@2b10564d-60b4-47ab-94dd-7aff1d911d96

A.2 B.2或eqId9266421a3ebd5b0dddd11fbd72eb29bd

C.2或eqIdec85f29c0860b57a8f0cf8098c13a97e D.无数个可能结果

9.如图,在eqId15c0dbe3c080c4c4636c64803e5c1f76中,eqId047dc9795efa99b6fb9fdf9778085dab,分别以点eqId5963abe8f421bd99a2aaa94831a951e9、eqId7f9e8449aad35c5d840a3395ea86df6d为圆心,以适当的长为半径作弧,两弧分别交于eqId2a30f3a8b673cc28bd90c50cf1a35281、eqIda0ed1ec316bc54c37c4286c208f55667,作直线eqId49b50357a6545cae8348e3059312f520,eqId8455657dde27aabe6adb7b188e031c11为eqId0dc5c9827dfd0be5a9c85962d6ccbfb1的中点,eqIdac047e91852b91af639feec23a9598b2为直线eqId49b50357a6545cae8348e3059312f520上任意一点.若eqId15c0dbe3c080c4c4636c64803e5c1f76面积为eqIda5a88162124c89d96c45f6af6bed3166,且eqIdfc4c176e8432280c9a959cee8e35f22e长度的最小值为eqId294f43677db00ba65a7f96fc49627d70,则eqId0dc5c9827dfd0be5a9c85962d6ccbfb1长为(     )

@@@98126e95-8b5d-4da9-a73e-8fd41243e901

A.4 B.6 C.8 D.10

10.如图,eqId15c0dbe3c080c4c4636c64803e5c1f76中,eqId7e3262fc038bbec5e7c8cc47df08bef7,eqId03902478df1a55bc99703210bccab910平分eqId7cbce11aa19b8bd2bf6ee5a834e005de,eqId2a30f3a8b673cc28bd90c50cf1a35281是eqId60ef95894ceebaf236170e8832dcf7e3边上的点,连接eqIde6e490f703eb6c9bb1278c78ebc2d661,eqId262a173a7cf68e06b4be175df69e2b74,下列结论:①eqId374fd104c16859b035498c3fd51c6dbf;②eqId3042616dbbecb4849d25ef1fdb3e0175;③eqIdb08de97073afc5aff6c6d37ff1e3776b;④eqId67550db6b1e45d8e438beeba3fd3591b.其中正确的结论个数为(     )page number 1

 

试卷第2页(共1页)

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@@@a5fc87e2-ab56-48de-99fe-7188d8739665

A.1 B.2 C.3 D.4

二、填空题

11.若等腰三角形的一个内角为eqId03ab895cc117e9c9c1af55426f9d134d,则这个等腰三角形的底角为________.

12.若点eqId31cd17d465328943a56074820986a321与点eqId33185275bc0b8bb43284a180e94c7d55关于eqId81dea63b8ce3e51adf66cf7b9982a248轴对称,则eqId04db7d6c32efcd452d0f5bc7cdcacf5e的值为__________________.

13.如图,eqId03902478df1a55bc99703210bccab910是eqId15c0dbe3c080c4c4636c64803e5c1f76的中线,eqIdab2a2834d80ff574e79eae8ca8d4e94f的周长为eqId6eb6ba6a20d59ed6800fdd0e2ca5727c,eqIdf52a58fbaf4fea03567e88a9f0f6e37e比eqId60ef95894ceebaf236170e8832dcf7e3长eqId976260cbf5e30856d4fd37a4b0a671a7.则eqId7ac451db3443cabb204f96c31fd4a02e的周长为 __________eqId9efa9fbcfb9595e2f031aa691db4564b.

@@@92d1d4c6-e9e2-4732-9383-4a9206421d6e

14.如图,将一个含eqIdf6b86c22b670a8e9f3896f9e8883fbbb角的直角三角板按如图所示放置到一组平行线中,若eqId6fb5d679cc531c723215173816a8ec54,则eqId9d57899ad4774aed9ccc7bd23db72153等于__________.

@@@b5b2e4b0-4d8f-4052-9f68-c5335b4ae352

15.如图,点eqIdc5db41a1f31d6baee7c69990811edb9f,eqIda0ed1ec316bc54c37c4286c208f55667在eqId85c4bdfb0db1e31e8459df1d15f9ab55上,且eqId1ca10806fc8c3c3efd6859f526b76900.若eqId7788830ed1cb3b9c5988f70f43595f2e,eqId0a0268d04b9dea7629af27af9a0285a4,则eqId735056c174e8dd7906257a2a50a962a7的长为__________.

@@@7b62ff0e-972a-467c-bf66-35d5384aaf6b

16.如图, O为eqId15c0dbe3c080c4c4636c64803e5c1f76内的一点, D为eqIdf52a58fbaf4fea03567e88a9f0f6e37e边上的一点,eqId5fce05f91ce17863abc8a5a8f6002b75,eqId9a23f35ebcd9799d82c1e41c09781a4c,eqIde46e27ca861c8bfcfedc2604fa7b3bba,连接CD.下列结论: ①eqIdc220eadc312101e2fb89dfe920f7b30d;②eqIda77e3c1c236141d6118429fade0a9b9d;③eqIda6804c596ba1b4c80b545e79f7dc68dc;④eqId82c08c3ce605cf5d213fb644e53fb31c;⑤eqId71b63d2504bd3ecce8c10560b142356f平分eqId5a72dfbf0138a611174c36ce077e0c47.其中所有正确结论的序号是_________.

@@@23d0e2f6-9f8c-4e3d-9e5d-5f4e7e109a5fpage number 2

 

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