第七章 相交线与平行线 暑假复习练习 2025-2026学年人教版数学七年级下册

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暑假复习专题:第七章 相交线与平行线

 

一、单选题

1.下列图形中,一定能得出eqIdd5b69d40b75d582c4b8ffa2369af1d41与eqId9d57899ad4774aed9ccc7bd23db72153相等的是(     )

A.@@@c55eb810-7e32-4f0d-82a3-02de7217f6b7B.@@@55693177-1bcd-45f8-8601-e1bd34b7fedd C.@@@4ab5ebce-6ee4-45b8-a451-5d5a1c8dd120 D.@@@5929545d-19de-4389-b9df-4a85593ef6fa

2.如图,直线eqIdf52a58fbaf4fea03567e88a9f0f6e37e,eqId9d78abbad68bbbf12af10cd40ef4c353相交于点O,eqId1cff606045e964c1ca1948eadb44c2b8,若eqId0b272586809e99b5f3a2d6c69029920b,则eqIdbea7b811fa609b8e92da877471564e07的度数为(     )

@@@95146902-973e-481a-8a04-7b07a379a3e0

A.eqIdb31a14bd2a972f43d7a26a99589ad083 B.eqIdf6b86c22b670a8e9f3896f9e8883fbbb C.eqId79a97bb4dcfab4ec7539bc783d563c49 D.eqIdbe6a6301878fed2a01413020b27310a5

3.如图所示,结论中正确的是(     )

@@@f68d9ab3-62d0-4306-a1a4-a10f4790648d

A.eqIdd5b69d40b75d582c4b8ffa2369af1d41和eqId0c4c3c0a34dc21292fa32befd58d8f82是内错角 B.eqId605f2976297a0deaa1602ef09d6a5afa和eqId072fbaa1c61a2fc49888bee15b69f9b8是同旁内角

C.eqIdd5b69d40b75d582c4b8ffa2369af1d41和eqId9d57899ad4774aed9ccc7bd23db72153是同旁内角 D.eqIda88047dcb878ed16f6ba458406817e70和eqId072fbaa1c61a2fc49888bee15b69f9b8是同位角

4.如图,已知直线eqIde83ac9f0914d23bb4c4aa13ec9701e9e,eqId8a8b3a0fca2f63940b5ba785bd6739a5,则eqId9d57899ad4774aed9ccc7bd23db72153的度数是(     )

@@@5bb26d6a-e46b-41c3-a983-f401202bd58a

A.eqIdd36581140ebac5d28438ea63b1b23b65 B.eqId6e012dbccbaac604c8d9f48159fb21d1 C.eqId2fb94bd9eb80fb9f5f02f518bb8f2211 D.eqId0aee6e4e9350a2665df8597ff8045bbd

5.如图,eqId0e53497af8899cb299d762f1a4f46a55,eqId1cea665cec1ac62f67579fa93f08f4b2,则eqIdfebc9a89d0d1c97b88c0f4acd32b4e67的度数为(     )

@@@e7375620-9ff2-4bda-9f20-59e192bda2d3page number 0

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A.eqIdcef5188670b78eecf710cdf8d080462f B.eqIdc5e99d081aa36df5e320a090b5ff7a4b C.eqIdea1df7abe31c85f7ce34f1379975adf4 D.eqId4e8278dd852290af572dbc4e154be351

6.如图是小明家装修时拖拉柜子的截面示意图,天花板eqIdf52a58fbaf4fea03567e88a9f0f6e37e与地面eqId9d78abbad68bbbf12af10cd40ef4c353互相平行,天花板上的eqId2a30f3a8b673cc28bd90c50cf1a35281点与柜子上的eqId54a5d7d3b6b63fe5c24c3907b7a8eaa3点用绳子相连.某一时刻,测得eqId6ba3d071723d22d7d698f0b0957e336a,eqIdb1f816d87ce03d7f2657f79e8d72a6ee,则eqIdc79777e2f8a5f0dbd437a66bb6752392(     )

@@@56c774ad-b62e-4243-bed4-69a975265d2d

A.eqId1a8f3a8b0608ec011ad95c522fd2ea4d B.eqIda63e35d4fe34ee744e22ae0034c32a49 C.eqIdc5e99d081aa36df5e320a090b5ff7a4b D.eqId1b5772c570ea706d2c74825aeb7c3da8

7.如图,eqIdb0fff774b4b0087a6f304ce930d359be,eqId1384d0a02d097ac7aa8a19e8da6f9767的角平分线eqIdabf80148409afb32ced0b4f59f1ba709的反向延长线和eqId2cfc2771aa0d5b97d2297f8a26a6f6b1的角平分线eqId274cf35acb4a1748d15c39d15a9bea7b交于点eqIda0ed1ec316bc54c37c4286c208f55667,eqIda690d5eddf0620c59a2a17fbc3219041,则eqIdb871a762469393cdd22f15aa49ebb8f9的度数为(     )

@@@57d9bb01-a292-48b8-9c4a-218ff75fe8f1

A.eqIdc3ad1b0a76a887783392268ae203ad22 B.eqId5bdafa4105ef855dfbcff3be2e049d96 C.eqId5511a89c160d515716f514c7f9041f91 D.eqIdf7a0387fc1258f31e44a10068c0ccfd0

8.如上图,将直角三角形eqId7bef5239ddbb0972700ce01daf9ee7cf沿着点eqId7f9e8449aad35c5d840a3395ea86df6d到点eqIdc5db41a1f31d6baee7c69990811edb9f的方向平移eqId12627a8d711d15e2e134f90ce569986e得到三角形eqId134ef0b1a2669a09f05bd4dc2496f706,且eqIde6e490f703eb6c9bb1278c78ebc2d661交eqId60ef95894ceebaf236170e8832dcf7e3于点H,eqIdf968948aaca1923eaa95827676b79f89,那么图中阴影的面积为(    )

@@@d15fd209-3c8c-40c8-9cab-d30fff39a179

A.eqId52e9cb3cf2c44395ac26cd003f144828 B.eqId6f98b037b4197b0415d86e6d9b752df9 C.eqIdfe9829733240df90d85e5349c3dc5985 D.eqId66f9bc55e6fb5a95fb6d5495b9335d43

9.将一块三角板eqId7bef5239ddbb0972700ce01daf9ee7cf(eqId9c06154cae3bf7a8ce5a1e97a7380875,eqId2fb01d2b57580731c8b807ac8cffc8ba)按如图方式放置,使eqId5963abe8f421bd99a2aaa94831a951e9,eqId7f9e8449aad35c5d840a3395ea86df6d两点分别落在直线eqId294f5ba74cdf695fc9a8a8e52f421328,eqIdb6a24198bd04c29321ae5dc5a28fe421上,添加下列一个条件,不能判定直线eqIdc9c8210eadb24a76eccacaaff9ef9df9的是(     )

@@@55f90b60-ed81-4c1b-b82a-f18a19bb226f

A.eqId025f98b0cd3d69c0f5f8a7ea6befce3f,eqIdb57edb04c74236117a4b964628e1e3b8 B.eqId8e7502cadd8b7935e9da129bc1497c25

C.eqId15ee20226cc02683a295de6af568e07f D.eqId5c04bba8d22a5ea683477f4b6e42dff9page number 1

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10.如图,已知AP平分eqId7cbce11aa19b8bd2bf6ee5a834e005de,CP平分eqIdbdb8eca20ce2c918ea4034ea15210c7f,eqId4bc6da80c5843d23ee18f3dfb709849d,下列结论:①eqIdb0fff774b4b0087a6f304ce930d359be;②eqIdf3f2f15f2cfa3970f91364cf65942e9f;③eqIddecd02bb1fd6ac5a3610a279fe96212b;④若eqId63f2566ba50a18b8a4c158918806a482,则eqId7a4b8be3ff34b8a9d8e80be25afc71c4.其中,正确的序号是(     )

@@@58b57e8f-ff07-4c90-98fb-cb8dd38ae4e4

A.①② B.①③ C.①④ D.①②③④

二、填空题

11.把命题“对顶角相等”改写成“如果……那么……”的形式________.

12.如图,直线eqIdf52a58fbaf4fea03567e88a9f0f6e37e、eqId9d78abbad68bbbf12af10cd40ef4c353相交于点O,eqIdef4113c492885ba7c47fe42ac792578f平分eqId9c9ec9a0b3a5aba39f61ac1ec5084a61,若eqId9bc9a91f372408ab3593b3d0489b0a2b,求eqIddc9f91270ddbe1cf3c1362e1b95aee14的度数是_____.

@@@39f15ee2-aa92-4224-9aec-0a66dc0aa1cd

13.eqIdd5b69d40b75d582c4b8ffa2369af1d41的两边平行于eqId9d57899ad4774aed9ccc7bd23db72153的两边,且eqIdd5b69d40b75d582c4b8ffa2369af1d41比eqId9d57899ad4774aed9ccc7bd23db72153的3倍少eqIdd36581140ebac5d28438ea63b1b23b65,则eqIdd5b69d40b75d582c4b8ffa2369af1d41的度数是______.

14.如图,若eqId60b407ae418a5c5d7b2185cfeaed1cff,eqIdea9a3b8dc17cd0f4ca5a45b7e301edec,eqIdd35cdc98e4f82c03e589051873f65396,则eqId530691ab381ab7f63a9c28cf52abc80a______.

@@@1594a3fd-1077-426d-b87f-3c47a2b9868b

15.如图,已知直线eqId8a11029ca6b4b9e7f777af0280cf163c,点F为直线eqIdb79dd200766db27fb90d6bd1992cf658上一点,G为射线eqIdb3182db896bc2462331796e2a6108363上一点.若eqId446ecfff4fe75fdb31aa2c712ce31402,eqId4f1344bff3a70d77e4d82ca3c9c3a2f2,eqId8a54b98bc71d6cff0208f189f4784322交eqIdd0213c5787a5a6b38d11bceca5567f67于点E,则eqId5c0a516de2482fbb4881f154cdc6adb3的度数为______.

@@@3f398c61-c739-4a63-a92a-1e78e88dc502

16.如图,已知eqId5f2fef8b0e3b1b162938f8c3dc343f58,eqId49b01e1680e767c1236de003bad94648,eqId27affdb800a4b941e4900018269275d4,延长eqId1fc56c77464a17a1e97b568762a3e2c6交eqId7d97dc3b752832906de41447bb58a341于点eqId73465a1f9aa03481295bf6bd3c6903ac,射线eqIdd004d2d115b477ade6af7ddb93db0df8在eqIdbdbaff54b14910886cfaa1a89a37a233内部,若eqIdf3874ca337bd0ac4d335c635ca5e23a5,eqIde3cfc6dae107e9496cc0cae641173016,则eqId246a86f34603eaf2e6a948681b831b0d的度数为__________eqId83873a9d782f2588c5eedbfe73f9bc2f.page number 2

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