(优学优练)第13章三角形达标卷-2026-2027学年数学八年级上册人教版(2024)

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(优学优练)第13章三角形达标卷-2026-2027学年数学八年级上册人教版(2024)

 

一、单选题

1.如图,工人师傅砌门时,常用一根木条固定长方形门框使其不变形,这样做的根据是(     )

@@@69ab157a-6d76-44f1-88b7-d6f4f22eca1a

A.两点之间线段最短 B.四边形更稳定

C.三角形的稳定性 D.垂线段最短

2.下列线段长,能构成三角形的是(     )

A.eqId5ca7d1107389675d32b56ec097464c14,eqIdb8860d9787671b53b1ab68b3d526f5ca,eqIdcd3304e23f3b0f9569c4140ca89b6498 B.eqId8b06e95b57b7a81cd81d05557a11fa92,eqIdcd3304e23f3b0f9569c4140ca89b6498,eqId58b184c94e38f1e5dbe750b2168c2a37 C.eqIdd91e07104b699c4012be2d26160976a2,eqId8da45c443af7994a26ffa9d8894e7262,eqId5453184e251cfe787b5965cd38426962 D.eqId6f8c4c029e552954bd493b49aeab82d5,eqId6f8c4c029e552954bd493b49aeab82d5,eqId5453184e251cfe787b5965cd38426962

3.在eqIddd967903ed5a6f640a5b801ec8be0070中,eqId7e3262fc038bbec5e7c8cc47df08bef7,若eqId713bb0199e6f0280f5556db313bbe694,则eqIdfebc9a89d0d1c97b88c0f4acd32b4e67的度数为(     )

A.eqId97f38acaaa4d4110b7ca927fdf7a8b6c B.eqId2f124aa6c15a72314d59122603b4af79 C.eqId6db4f0391c6406ff2da3c1f8d0ca5dfd D.eqIdbfac63318cb8f1727d12cafe33d16838

4.如图,在eqId15c0dbe3c080c4c4636c64803e5c1f76中,eqId03902478df1a55bc99703210bccab910是高,eqId68a83fdd2ba72a2dba0b6b10bb3e06b9是角平分线,eqId30a382d705bf6eaf5cdb85edf1c63f51,eqId6bd1c0af0064ea3e09a302f249ae3812,求eqId1e37b078d02601f76f0f8320b410809f的度数为(    )

@@@416758f8-eec0-4ba9-99a3-059e63efea0c

A.eqId1006d62fa5723dc36286b8f5494f993e B.eqIda5328421f88e455d62909e5166122633 C.eqId9107007366104f89f6f2b02862e2fab8 D.eqId8ac09dc1ca2cdd7aef28c218763d3e4d

5.如图,eqId8a11029ca6b4b9e7f777af0280cf163c,点eqId2a30f3a8b673cc28bd90c50cf1a35281在eqIdd40b319212a7e7528b053e1c7097e966上,eqIdc672f693a7e75a7bae4936dcb1920430交eqId9d78abbad68bbbf12af10cd40ef4c353于点eqIda0ed1ec316bc54c37c4286c208f55667.若eqIdeb3edd6fb40fbc2b1b29b38670db33c1,则eqId73f68e4414c9ab464bf433385c03705f的度数为(   )page number 0

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@@@1d7207d1-0467-4e71-a750-aeabe826ed8a

A.eqIdf6b86c22b670a8e9f3896f9e8883fbbb B.eqIdd36581140ebac5d28438ea63b1b23b65 C.eqId2fb94bd9eb80fb9f5f02f518bb8f2211 D.eqIdbe6a6301878fed2a01413020b27310a5

6.如图,在eqId15c0dbe3c080c4c4636c64803e5c1f76中,eqIda2e765ebf59263c5c2cc7f9d8552beea,eqIdb2e146d5d150b4b76be3511543d4d6af,eqId8b5f215a42c4b7078d8d65923eb9980e于点eqId8455657dde27aabe6adb7b188e031c11,eqIdd320f180419175d75eebc618cc458b39于点eqId2a30f3a8b673cc28bd90c50cf1a35281,eqId03902478df1a55bc99703210bccab910与eqId85c4bdfb0db1e31e8459df1d15f9ab55交于点eqIda0ed1ec316bc54c37c4286c208f55667,则eqIdc3f9f8b429cc830b6c9c4ade5d4db25c的度数是(    )

@@@c9e64ed6-10aa-44f3-a3a8-3475dc2126d9

A.eqIdb31a14bd2a972f43d7a26a99589ad083 B.eqId79a97bb4dcfab4ec7539bc783d563c49 C.eqIdbe6a6301878fed2a01413020b27310a5 D.eqId68a4c9b697e3df2b5469b71d3b5e47a2

7.如图,为了估计池塘两岸A,B间的距离,在池塘的一侧选取点P,测得eqIda07dc06beb26d584acc6e49723ab865b米, eqIda2cf53f1f565275e27fc401d53fc19ee米,那么A,B间的距离可以是(   )

@@@9cae5023-f69f-4503-a55c-87ec488c0d4f

A.eqIdb8860d9787671b53b1ab68b3d526f5ca米 B.eqIdd91e07104b699c4012be2d26160976a2米 C.eqId8b06e95b57b7a81cd81d05557a11fa92米 D.eqId9c06fc7811f9525e8b8c833746d6af5c米

8.如图,eqId8455657dde27aabe6adb7b188e031c11、eqId2a30f3a8b673cc28bd90c50cf1a35281分别是eqId15c0dbe3c080c4c4636c64803e5c1f76的边eqId60ef95894ceebaf236170e8832dcf7e3、eqId0dc5c9827dfd0be5a9c85962d6ccbfb1的中点,则下列说法不正确的是(    )

@@@238749d0-450d-45ce-a44d-b951b1025fae

A.eqIde6e490f703eb6c9bb1278c78ebc2d661是eqId661ff55b5ebbadfb600989af3cfce2fd的中线 B.eqIdd40b319212a7e7528b053e1c7097e966是eqId15c0dbe3c080c4c4636c64803e5c1f76的中线

C.eqIdc15416b74b2ecbcfa38cf34a9ffff730,eqId104cacf19f1897c6c86d24c5fe8cb991 D.eqId194741f4d2ae7ee44cafca780361446a的对边是eqIde6e490f703eb6c9bb1278c78ebc2d661

9.如图,一束平行于主光轴的光线经凸透镜折射后,其折射光线与一束经过光心eqId1dde8112e8eb968fd042418dd632759e的光线相交于点eqIddad2a36927223bd70f426ba06aea4b45,点eqIda0ed1ec316bc54c37c4286c208f55667为焦点.若eqIdeff21e1425df7b77edce42df674cc019,则eqId9d57899ad4774aed9ccc7bd23db72153的度数为(   )

@@@ee61c210-73bd-47e9-8803-dde0c158b2fepage number 1

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A.eqIdb31a14bd2a972f43d7a26a99589ad083 B.eqIdf6b86c22b670a8e9f3896f9e8883fbbb C.eqIdf1845ed03ec08feac9adee161aab3449 D.eqIdd36581140ebac5d28438ea63b1b23b65

10.如图,eqId15c0dbe3c080c4c4636c64803e5c1f76的面积为1,分别倍长(延长一倍)eqIda1a6936a0a7379a7dd2331182696712a得到eqId4310db23fc79936c7182361e652bab1a,再分别倍长eqId11ddc92d84d188c66b435664a7e7b5a4,eqId56f7ba05c54b3de1f4378f7c8eb58328,eqId2cabc3303519ac16fc998913ad9f349c得到eqId828dc8dc7259c510b6d63abf40f60e90…,按此规律,倍长2025次后得到的eqIdd77a4b52b668f25e8dc209198ea6d39b的面积为(   )

@@@7bc6d322-3291-4333-b188-dd9425d26f24

A.eqId0db95813e542fbcde6a047fac2def3c1 B.eqIdea8042dbca547e3f2723701687704e71 C.eqIda231d80fd50f5ec049e2c0290ed3f3c5 D.eqIdffc7e0c6f029130569ec31c8a31c2ba7

 

二、填空题

11.在eqId15c0dbe3c080c4c4636c64803e5c1f76中,如果eqId225c56a2c4e5d00893595b161b9b5481,那么eqId15c0dbe3c080c4c4636c64803e5c1f76是_______三角形.(填“锐角”“直角”或“钝角”)

12.长为eqId80aa6bea5c899580e093fd6bef04a801的四根木条,选其中三根组成三角形,有_____种选法.

13.如图,李明同学在东西方向的滨海路eqId5963abe8f421bd99a2aaa94831a951e9处,测得海中灯塔eqIddad2a36927223bd70f426ba06aea4b45在北偏东eqIdbe6a6301878fed2a01413020b27310a5方向上,他向东走300米至eqId7f9e8449aad35c5d840a3395ea86df6d处,测得灯塔eqIddad2a36927223bd70f426ba06aea4b45在北偏东eqIdf6b86c22b670a8e9f3896f9e8883fbbb方向上,则从灯塔eqIddad2a36927223bd70f426ba06aea4b45观测eqId01c74a907dda6bb7d9d56d009d9df253两处的视角eqId19768d8c55deb4973820aeab7a224e6a的度数是___________.

@@@b4371fd7-6ca9-45cb-8685-5bc8f2ee2111

14.如图,eqId03902478df1a55bc99703210bccab910为eqId15c0dbe3c080c4c4636c64803e5c1f76的中线,eqId85c4bdfb0db1e31e8459df1d15f9ab55为eqIdab2a2834d80ff574e79eae8ca8d4e94f的中线.若eqId15c0dbe3c080c4c4636c64803e5c1f76的面积为eqIdfbbecbd7e92dcbe1766462fcf40066de,eqId7eb3d1070981fed5ca65a34bb2282e6f,则eqIdc15514bc735fe4b744672edefe00009c边eqIdd40b319212a7e7528b053e1c7097e966上的高为______.

@@@8cc78f77-926c-45d2-835c-98576f5c31ee

15.两面镜子eqId977ab80da22c4ab5867877d325513dbc按如图所示的位置摆放,入射光线eqId37a0397c811fe80c80ecd5b871201987经过镜子两次反射后的反射光page number 2

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