专题一:平行线的性质与判定综合运用专项训练(共25道)【暑期培优】2025-2026学年七年级数学下册

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专题一:平行线的性质与判定综合运用专项训练(共25道)-【暑期培优】2025-2026学年七年级下册

学校:___________姓名:___________班级:___________考号:___________

 

一、单选题

1.如图,将含有eqIdf6b86c22b670a8e9f3896f9e8883fbbb角的三角尺的两个顶点叠放在长方形的两条对边上.若eqIda209099dbba960d10aceb522787594ef,则eqId3cc310194575262fb45352c2fbc19868(     )

@@@00fc42b5-59ac-45b1-b20b-45da18571512

A.eqId903c1bb6f9fe8f9b9710683a3e601452 B.eqIdad36099d4f257b472895e2c5209ea286 C.eqId8a1bd74a61e4cd3e94a279ef06273d15 D.eqId9c5b696c0ca68ec19b9127c1675051f8

2.如图,eqId77cf35d8f2a59d94d5460927903408b7,点eqId5963abe8f421bd99a2aaa94831a951e9在直线eqId49b50357a6545cae8348e3059312f520上,点eqId7f9e8449aad35c5d840a3395ea86df6d,点eqIdc5db41a1f31d6baee7c69990811edb9f在直线eqId7a5f1641947153c80b987320885a2b57上,连接eqIdf52a58fbaf4fea03567e88a9f0f6e37e,eqId60ef95894ceebaf236170e8832dcf7e3.若eqId36c4559d27e3905980d1a4f1856f07de于点eqId5963abe8f421bd99a2aaa94831a951e9,线段eqIdd50703c46b6153945d718b198f03b4b5平分eqId7cbce11aa19b8bd2bf6ee5a834e005de与eqId7a5f1641947153c80b987320885a2b57交于点eqIdac047e91852b91af639feec23a9598b2,线段eqIdf50b3ae183997b707d16eb4e7f6712fa平分eqIdb400a6c61254b81d4ccc5a2a7cf4c967,且eqId8e193d549baa07863e74e519a1841d71,则eqIdd39b8d91afc34e4a9b0fdbb6bafb9087的度数是(     )

@@@a88ec4e7-1f51-4378-be34-36c82ba6a5e8    

A.eqId6466699a6dc23646f0906e0f97a613c0 B.eqId5a3fefe07cbda3517e88b226d557dc2a C.eqId2f124aa6c15a72314d59122603b4af79 D.eqIdbe6a6301878fed2a01413020b27310a5

3.如图,直线a,b分别与直线m,n相交,若eqId1d1717b5311ed602f1730e86d9322647,eqId14379f8cfbaa355f2d20ad69a41a2399,则eqId0c4c3c0a34dc21292fa32befd58d8f82的度数是(     )

@@@d6d67920-91a9-4226-b993-f48b35e816a9

A.eqId85e283d58ea8a48989988ce61df58688 B.eqId391479c151307826c9765a47a5f10503 C.eqId27ef3e89c37d21fd86537bee7c57b053 D.eqIda6c0927afc571a7c966c98192040979e

4.如图,能判断eqId4adf90a8c2b29334cdc5aa5b554991f9的条件是(     )page number 0

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@@@1578d0c6-234f-4bf0-88a9-a03d0cc58fdc

A.eqId8efa4e9eebe76c572fbac1522085868b B.eqId04ea5d581e0305727d96bcaf3a1d4048 C.eqIdba02910a01689f636c71116e96dfdf33 D.eqId154242a86f261a76a1e5dbf4b81c6973

5.如图,一把长方形直尺沿直线断开并错位,点eqId2a30f3a8b673cc28bd90c50cf1a35281,eqId8455657dde27aabe6adb7b188e031c11,eqId7f9e8449aad35c5d840a3395ea86df6d,eqIda0ed1ec316bc54c37c4286c208f55667在同一条直线上,若eqId4b9da37fda10275b266f1975c6f3220f,则eqId76bc8e50eeccced1d7f3bc52e09a7d03的度数为(     )

@@@0fc64e52-e0b4-47af-89bc-d2d511e2ff97

A.eqId6617a6700c8ae3a8f29d07976d940cf6 B.eqId108adee7086a57ca31789455114ee09c C.eqIdd6c858ffdfa9cf878ee3ccc2bbcfca28 D.eqId6ee6e9272380b8f02c3f1e6eb3e97036

6.如图为小颖在试鞋镜前的光路图,入射光线eqIdef4113c492885ba7c47fe42ac792578f经平面镜后反射入眼,若eqId66417ce5e78066d344bcb94456da7c06,eqId1cac9ca2d930e52a1cead8f5b52a4f56,eqId278289670d5c3dbd2d248015eedfa9f6,则入射角eqId826fa702e700b8536f77e44b134ce334的度数为(   )

@@@bf036f22-66c3-46d9-a602-b3c527198162

A.eqIdcc952383cb197b68a79c27ba643c9883 B.eqIdbecdc4d9acfffb8376eb0b897132aae6 C.eqId5babe5f1ef875292b0cf9a5e97d9d934 D.eqIdc48be115cc619b47357ecb3e93b16da4

7.如图,下列条件中,不能判定eqId49b01e1680e767c1236de003bad94648的是(   )

@@@22182a13-ac85-4927-9b05-ae092513551b

A.eqIdf3e2d131cf4bd2f1aa71bcd23bf96534 B.eqId595c2f7d8381c717e2ba0501174b9198

C.eqId30e26895bd023fc7f392b30cf7d05511 D.eqIdb7a6f7181575bd5becf5937033201c15

8.如图,已知直线eqId071a7e733d466949ac935b4b8ee8d183与直线eqId9c974dafd7f992c28eb67787daa6387b都相交.若eqIdb4d195224a5986ba1558e6170aa9a449,则eqId3cc310194575262fb45352c2fbc19868(    )page number 1

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@@@45f228a8-c92c-4cd6-89aa-8b691962a5e1

A.eqId903c1bb6f9fe8f9b9710683a3e601452 B.eqId5a3fefe07cbda3517e88b226d557dc2a C.eqIdef671c782d52aaf459f9a2e96688b37b D.eqId2fb94bd9eb80fb9f5f02f518bb8f2211

9.如图,在eqIdc15514bc735fe4b744672edefe00009c中,若eqId01fb7cc752222306029fabbeb894a800,eqIdf52a58fbaf4fea03567e88a9f0f6e37e平行于eqId9d78abbad68bbbf12af10cd40ef4c353,eqIdaa6b5f434dcc8212026b5f5d78a82c3b,则eqId836ea820cf3732508cdd332ceb9395ce的度数为(     )

@@@fec7efe0-ae28-4fb5-a974-99a5276c6dc5

A.eqIdd36581140ebac5d28438ea63b1b23b65 B.eqId16aa0b9869db50a9ab48cc32925d8e96 C.eqIdbe6a6301878fed2a01413020b27310a5 D.eqId391479c151307826c9765a47a5f10503

10.如图,eqId8a11029ca6b4b9e7f777af0280cf163c,eqId9c828839ec7daffe75d61c24298afe7a,若eqIdf586d178cb0f69dd900967766ba8950a,则eqId9d57899ad4774aed9ccc7bd23db72153的度数是(     )

@@@31fcf78c-b9ac-4a9b-893d-be65865c6c10

A.eqIdad36099d4f257b472895e2c5209ea286 B.eqId79a97bb4dcfab4ec7539bc783d563c49 C.eqIdf1845ed03ec08feac9adee161aab3449 D.eqIdb31a14bd2a972f43d7a26a99589ad083

 

二、填空题

11.如图,直线eqId071a7e733d466949ac935b4b8ee8d183与直线eqId0a6936d370d6a238a608ca56f87198de、eqId2c94bb12cee76221e13f9ef955b0aab1都相交.若eqId2bc8444d63d1ca92651c62fe9b220859,eqId489ac493401c778eeebb8fbec104edad,则eqId3cc310194575262fb45352c2fbc19868________.

@@@0550faa9-ed67-4d29-981f-301263777ebd

12.如图,eqIdec73e130ff903fed72f6eaf094a01321,eqId7d879ba5293a8712b7e949e3a3d33a5b.若eqIdb12592bafd10cc489b53e875a3e15287,则eqId9d57899ad4774aed9ccc7bd23db72153的大小为__________(度).

@@@651a67db-e372-4f5e-8552-75372e9c0c5e

13.如图,eqId8a11029ca6b4b9e7f777af0280cf163c,且eqId0e53497af8899cb299d762f1a4f46a55,推论①eqId8dfb639817ea228850fc8f307c193b90;②eqId83fcabd37661f90e952a19085a5f7522;③page number 2

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