24.1 圆的有关性质 同步练习 2025--2026学年人教版九年级数学上册

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人教版九年级上册数学24.1圆的有关性质同步练习

 

一、单选题

1.如图,eqIdf52a58fbaf4fea03567e88a9f0f6e37e为eqId3d97cdc586744d208b6f69c9813af977的直径,eqIdc5db41a1f31d6baee7c69990811edb9f,eqId8455657dde27aabe6adb7b188e031c11为eqId3d97cdc586744d208b6f69c9813af977上的点,eqId6ea0d1d36ccbf5c6e4513dae86c4228a.若eqIde7d6e7a969d1a00fc43c86756c226bad,则eqId21b28f28ced0531d1df34fcf04c6c67f的度数为(  )

@@@204d1b31-2615-419a-b9fd-9ae622b11c82

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

2.如图,eqId9d78abbad68bbbf12af10cd40ef4c353是eqId3d97cdc586744d208b6f69c9813af977的直径,点A,B在eqId3d97cdc586744d208b6f69c9813af977上.若eqId7fbaebc7d5ebf7f9ae5f01f6a7339999,eqId199b6d8e884f3586186800a59286e112,则eqId6b7960538cb70fcf641b94864a90190d(   )

@@@1af3a3cf-b81f-4c00-86bf-3017a0e8db3b

A.eqId6e1954b1c8c580c968c2191ff0544155 B.eqId48cf21017ebe712348fbe500113dbc59 C.eqIda7b398c95494eddc79939f16e66cf4da D.eqId79a97bb4dcfab4ec7539bc783d563c49

3.如图,eqIdf52a58fbaf4fea03567e88a9f0f6e37e是eqId3d97cdc586744d208b6f69c9813af977的直径,eqIdaf5b3967aa677f18e92912d2397f4907,则eqIdc35b6af1d4f447760a2dc8b10a9e9afd(  )

@@@259faa1c-eee1-47c5-b244-2b0c49c04e59

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

4.如图,圆弧形桥拱的跨度eqId44a1f73190215b1c9d45a3dd9e6b66ce米,拱高eqIdde8cc58ef27567f0ab06eb1012aec330米,则拱桥的半径为(  )

@@@048a5224-2adc-41db-9942-532077b633f7page number 0

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A.6.5米 B.9米 C.13米 D.15米

5.如图,eqIdf52a58fbaf4fea03567e88a9f0f6e37e 是eqId3d97cdc586744d208b6f69c9813af977的直径,eqId5bb12d9cbf4d45e8efc4f53c41e2d932, 若eqId2fb01d2b57580731c8b807ac8cffc8ba,则eqIded66570f697459aba9daa2eaf9460bcb的度数是(     )

@@@6a847c47-d300-4330-90a9-ab22226f7498

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

6.如图,已知:在eqId3d97cdc586744d208b6f69c9813af977中,eqIdb01898d4ad9757e07bddd6c26e59d1f9,eqIde18c7dc38750d0e1787adee0055543d3,则eqId3981e7286d41960daf4e110c1c84e03a的度数为(  )

@@@65dd748e-15d2-4b14-b512-55f3d5a3da72

A.eqId16aa0b9869db50a9ab48cc32925d8e96 B.eqId79a97bb4dcfab4ec7539bc783d563c49 C.eqIdf1845ed03ec08feac9adee161aab3449 D.eqIdf6b86c22b670a8e9f3896f9e8883fbbb

7.如图,eqIdf52a58fbaf4fea03567e88a9f0f6e37e是eqId3d97cdc586744d208b6f69c9813af977的直径,eqId9d78abbad68bbbf12af10cd40ef4c353是eqId3d97cdc586744d208b6f69c9813af977的弦,eqIda77e3c1c236141d6118429fade0a9b9d,垂足为E.若eqIdde8cc58ef27567f0ab06eb1012aec330,eqIdaf15bf3141ea31f8fc53760c563e7221,则eqId85c4bdfb0db1e31e8459df1d15f9ab55的长为(  )

@@@94bffd39-b9cf-48cd-a964-a8ee363a398c

A.1 B.2 C.3 D.4

8.如图,eqIdf52a58fbaf4fea03567e88a9f0f6e37e是eqId3d97cdc586744d208b6f69c9813af977的直径,eqId6239a6d6c4f940eed7fe0aaf0fc950f8,若eqIdfb998fbf2ce7f0ba832648322c1c2a86,则eqIddc9f91270ddbe1cf3c1362e1b95aee14的大小为(   )

@@@0fbd980e-f268-4a2f-8515-8d28e116cf2b

A.eqIdcef5188670b78eecf710cdf8d080462f B.eqId391479c151307826c9765a47a5f10503 C.eqId225803a7818b0985a1b96d8e0a627251 D.eqId2fb94bd9eb80fb9f5f02f518bb8f2211

9.A是半径为5的eqId3d97cdc586744d208b6f69c9813af977内的一点,且eqIdbb2d3f02cb9007cd4a90ea30f6dd8181,过点A且长小于8的弦有(   )page number 1

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A.0条 B.1条 C.2条 D.无数条

10.如图,eqId661ff55b5ebbadfb600989af3cfce2fd内接于eqId3d97cdc586744d208b6f69c9813af977,点B是eqId83bb3820bab977db734f4335e4fde720的中点,eqId9d78abbad68bbbf12af10cd40ef4c353是eqId3d97cdc586744d208b6f69c9813af977的直径,若eqId2fb01d2b57580731c8b807ac8cffc8ba,eqIdd70dc2c20619a4fc12a0cfda59af5b69,则eqId0dc5c9827dfd0be5a9c85962d6ccbfb1的长为(  )

@@@d1ac521b-63f6-423a-ae61-28b1ea3af06a

A.4 B.eqId4e2031d209711b058f3d278ede3c1d33 C.eqId8af2fdf1944afebb51cb6a5e6c74aadd D.eqIdadbd3e8cf8325999cde03adf845d3dd0

 

二、填空题

11.eqIdc28d2790a97390935125aa897417f970是eqId3d97cdc586744d208b6f69c9813af977的两条弦,且eqId8a11029ca6b4b9e7f777af0280cf163c,又eqId3d97cdc586744d208b6f69c9813af977的直径为26,eqIdae91bf259174ac3dfa72649862c1ff41,则eqIdf52a58fbaf4fea03567e88a9f0f6e37e与eqId9d78abbad68bbbf12af10cd40ef4c353间的距离为         .

12.如图,已知eqId9d78abbad68bbbf12af10cd40ef4c353为eqId3d97cdc586744d208b6f69c9813af977的直径,过点eqId8455657dde27aabe6adb7b188e031c11的弦eqIdb493086f1c3951377e5ae840589f506d,eqIdec2fbaeab3a5eb2e89a9cf94c7b886b1,则eqId459459559720ab5e154a80723c47cc30        .

@@@be687dde-35d3-47ad-b433-86aa7797d292

13.如图,eqId3d97cdc586744d208b6f69c9813af977的直径eqId8b757f0c42ae5c9a2d6a4b19e5877b27,eqId79684a6e92297749c005e2b23cac9710,则eqIdc9d16fab0f52c8af5abba0bf19a06ea0为          度.

@@@7cb11c9f-b580-4ea1-9071-7a7c68c97999

14.如图,以边长为1的正方形eqIdb978a095d4bac4da3a807575d9b35e8e的顶点O、P、R分别为圆心作圆,圆O过点Q,圆P、R均和圆O内切.设圆P、R上任意两点之间的距离是d,则d的最大值是         .page number 2

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