13.3.2 三角形的外角 暑假自学练 2026-2027学年初中数学人教版数学八年级上册

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13.3.2 三角形的外角    暑假自学练   2026-2027学年

初中数学人教版(2024)八年级上学期

一、单选题

1.如图,点A,B在直线eqId411461db15ee8086332c531e086c40c7上,则eqIdd5b69d40b75d582c4b8ffa2369af1d41的度数为(   )

@@@9d281add-feb5-4ff8-ae6e-a065605b2f0c

A.eqId85e283d58ea8a48989988ce61df58688 B.eqId27ef3e89c37d21fd86537bee7c57b053 C.eqIda6c0927afc571a7c966c98192040979e D.eqIdcef5188670b78eecf710cdf8d080462f

2.一副三角板按如图所示方式叠放在一起,则图中eqId780d8fd6c6c1deeeb45e15f639719e02的度数是(   )

@@@1f0fc4dc-dadb-4ae6-b17d-f5fda539ecea

A.eqIdad36099d4f257b472895e2c5209ea286 B.eqIdbe6a6301878fed2a01413020b27310a5 C.eqId225803a7818b0985a1b96d8e0a627251 D.eqId68a4c9b697e3df2b5469b71d3b5e47a2

3.如图,在eqId15c0dbe3c080c4c4636c64803e5c1f76中,eqId03902478df1a55bc99703210bccab910、eqId68a83fdd2ba72a2dba0b6b10bb3e06b9分别是eqId15c0dbe3c080c4c4636c64803e5c1f76的角平分线和高,若eqId640e9e7c56e8eeda044fb55396088816,eqId395d5c25eadde4d64a727a51f8d14077,则eqId194741f4d2ae7ee44cafca780361446a的度数是(   )

@@@c4a1d6de-3e05-4ec6-abd2-0b7ee24de6b1

A.eqIdbefcc55f986eca8de7d834308a55f4fa B.eqId9c5b696c0ca68ec19b9127c1675051f8 C.eqId16aa0b9869db50a9ab48cc32925d8e96 D.eqIdbfac63318cb8f1727d12cafe33d16838

4.如图,eqId86a2db6311e228ed33b6c71d0a5918cf是eqId15c0dbe3c080c4c4636c64803e5c1f76的外角,eqIdd40b319212a7e7528b053e1c7097e966平分eqIdd39b8d91afc34e4a9b0fdbb6bafb9087,eqId9d78abbad68bbbf12af10cd40ef4c353平分eqId86a2db6311e228ed33b6c71d0a5918cf,且eqIdd40b319212a7e7528b053e1c7097e966,eqId9d78abbad68bbbf12af10cd40ef4c353相交于点eqId8455657dde27aabe6adb7b188e031c11.若eqId5a8793053fbb2ac5a3122b092a575124,则eqId0c543c3ddc3723fde6bbfca3ea3b921b等于(   )

@@@f3b0f7c8-d20b-4ff0-bae4-6641aaa46eaa

A.eqIdf6b86c22b670a8e9f3896f9e8883fbbb B.eqIdd36581140ebac5d28438ea63b1b23b65 C.eqId2fb94bd9eb80fb9f5f02f518bb8f2211 D.eqIdad36099d4f257b472895e2c5209ea286

5.如图,eqIdb030708f7e622f3f992649b21eec6b4c,eqId75871f59df1dd24362513fe7a3830e54,则eqIde7d19f963f7c803bcfcbb265ec6d4304的度数为(   )page number 0


@@@97143466-b7a1-40a6-b2ea-fb17f38927b1

A.eqIdd36581140ebac5d28438ea63b1b23b65 B.eqIdbe6a6301878fed2a01413020b27310a5 C.eqId391479c151307826c9765a47a5f10503 D.eqId85e283d58ea8a48989988ce61df58688

6.如图所示,将点A,B,C,D,E,F依次首尾相连组成一个封闭图形,若eqId207c9fe62f2f61dc1ef14942f6fc9b9a,eqId63602ee98c296c706d468064dd9b6060,则eqId63c55cdcb916cc58559b735c350a78af的度数为(   )

@@@5111c1b9-c8bb-4745-a9a1-a491855c861b

A.eqIdbfe639eab78eafd2d40ea70aa5d3f21d B.eqIda72bfcaf900ec54861ed02cc376fc0df C.eqId7537c6ea401ef5b53ec664a43adf5068 D.eqIdf4a7d4d1a6e8c95b4c1c874089b3765c

7.如图,eqId54b4908b37cf23de34d38ae7a0bff278,eqId7c45087cde2d66377517a3fce5553b35,点D在eqId60ef95894ceebaf236170e8832dcf7e3边上,eqId0e53497af8899cb299d762f1a4f46a55,eqId68a83fdd2ba72a2dba0b6b10bb3e06b9和eqIdd40b319212a7e7528b053e1c7097e966相交于点O.若eqId1a2a92ac18c92049258076b9686aa639,则eqId9d3e081637bcea5368cc72370bae283b的度数为(   )

@@@13975889-0f5f-43ec-9c12-ce49e46a00c4

A.eqId225803a7818b0985a1b96d8e0a627251 B.eqId113240de69e1218e64ea03c03ff9eec9 C.eqId68a4c9b697e3df2b5469b71d3b5e47a2 D.eqIdd67fb3a5779c6785ce4caeb4e2db6d26

8.如图,直线eqIdcf8296d22f2c8d1668d01d3f69bdd16a于点eqId2a30f3a8b673cc28bd90c50cf1a35281,若eqId40607597c8a7b2bb8bf6369ccce9a36b,则eqIdc3db3f03c05b28155f9c0d31abfab198的度数是(    )

@@@be7dd194-1109-4b13-9a89-53fc5dc50b8a

A.120° B.100° C.150° D.160°

 二、填空题

9.如图,一束平行于主光轴的光线eqIdf52a58fbaf4fea03567e88a9f0f6e37e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eqId3aa744084aaf53fb55d81628fbee4d5a,则eqId605f2976297a0deaa1602ef09d6a5afa的值为______.

@@@e4034fa5-3926-4e8f-a647-295b00484698page number 1


10.如图,eqId2d7c51c5e0767a07dab8d2a794a135d3,eqId69556d5d1fc9fd121344bf568b0ffe46,eqId8ad3ae25d74bd7a60ba2caa4e124a321,则eqId0516dfab12b2fef629060a656f508f0e____eqId83873a9d782f2588c5eedbfe73f9bc2f.

@@@a69ed573-1642-48ec-9c87-6b22c76abe5d

11.如图,在eqIde428e7a09732be85c1224e9c8f6a71c5中,eqId0046ed085e0f475667b870a6b9d7a4bd,点eqId8455657dde27aabe6adb7b188e031c11,eqId2a30f3a8b673cc28bd90c50cf1a35281分别是eqIde428e7a09732be85c1224e9c8f6a71c5边eqId60ef95894ceebaf236170e8832dcf7e3,eqId0dc5c9827dfd0be5a9c85962d6ccbfb1上的两个定点.若点eqIddad2a36927223bd70f426ba06aea4b45在线段eqIdf52a58fbaf4fea03567e88a9f0f6e37e上运动,当eqIdc109cf538970b0f313a06feb5154494f时,则eqIdfa61f1be96d581867ea9f074420a2252_____.

@@@14e4ae95-16aa-4219-859e-889107fed5e4

12.如图,eqIdd0213c5787a5a6b38d11bceca5567f67、eqIda6b41d4070854edfaa24071137b314cb分别为eqIde428e7a09732be85c1224e9c8f6a71c5的内、外角平分线,eqId8c4eccda4edcee29a5f15609e85106df、eqIde8120f2eeb724c756b5f84a14c6df527分别为eqId516eab2f2b97c8f2931321e285ffabb8的内、外角平分线,若eqId989e08cdb3c3205cf2cbc0c0a305b52d,则eqId4b1706d813ca27ecb8ba48641ffea731_______.

@@@ecac49df-592e-491a-9a01-07c6c6a4df28

13.如图,三角形纸片eqId7bef5239ddbb0972700ce01daf9ee7cf中,eqId0983af6277d6bf54ee5b12e4dc6652de,将eqId194741f4d2ae7ee44cafca780361446a沿eqIde6e490f703eb6c9bb1278c78ebc2d661对折,使点eqIdc5db41a1f31d6baee7c69990811edb9f落在eqId15c0dbe3c080c4c4636c64803e5c1f76外的点eqIdb4c8a9c4957431681ddfc77895a88508处,若eqIde54ccc7d2f8af35a252977d6e2af4663,则eqId9d57899ad4774aed9ccc7bd23db72153的度数为_____.

@@@7faa9a6c-1e62-417e-b480-1be0a93e05c4  

14.如图,在eqId15c0dbe3c080c4c4636c64803e5c1f76中,eqId60d9142db4dd2ef151bf3d4a63afb61e,D是eqId60ef95894ceebaf236170e8832dcf7e3延长线上一点,eqId6aa2b5e09f8ec785c59900a529390a02是eqId7cbce11aa19b8bd2bf6ee5a834e005de的平分线,分别作eqIda48264bae429fc8774c12c0d2d8bb738,eqId727ad3e630a224303d6d3b8ad5c114ba的平分线eqId5def0d34ee55d87e197413eb07677c4f,交eqId6aa2b5e09f8ec785c59900a529390a02于点E,F,则eqId94c44345de7d1f37b48def25db8c5e2b______°,eqId127eef97aeb02eb6610a149fdb9bf9ad______°.page number 2


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