2025年九年级数学中考复习圆考前冲刺专题训练

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2025年 九年级数学中考复习 圆 考前冲刺专题训练

 

一、单选题

1.如图,eqId3d97cdc586744d208b6f69c9813af977的直径eqId54275b7e571660d0a9e0370fbfe5050b,eqId9d78abbad68bbbf12af10cd40ef4c353是eqId3d97cdc586744d208b6f69c9813af977的弦,eqId8b757f0c42ae5c9a2d6a4b19e5877b27,垂足为P,且eqId6c9d2da32b59e587f9a589722c2d972b,则eqId9d78abbad68bbbf12af10cd40ef4c353的长为(   ).

@@@dabe6464-a3a1-4b64-a06d-e1c88b714ddf

A.eqId4e2031d209711b058f3d278ede3c1d33 B.eqId6093eebca8f3ff82ce9298feb197e955 C.eqId38387ba1cadfd3dfc4dea4ca9f613cea D.eqId41322821ce31416fdac8dd6e0aa41c71

2.如图,eqId3d97cdc586744d208b6f69c9813af977的直径eqIdfc34db5860990e51ba31edc8cdd077c2,半径eqId771b610e4ddefa739a985d1e5462ce5a,点eqId8455657dde27aabe6adb7b188e031c11为eqId3d97cdc586744d208b6f69c9813af977上一点,连接eqId9d78abbad68bbbf12af10cd40ef4c353交eqIdf52a58fbaf4fea03567e88a9f0f6e37e于点eqId2a30f3a8b673cc28bd90c50cf1a35281,若eqIdd2b34233772c4c26d6669499d9b1f15a,则eqId6700f7bef7a237df58daf131224e80ec的值为(   )

@@@fcb394e6-6fd2-4371-ab67-81cad4a9cc4a

A.50 B.eqIdfa72b5e1c21e589d5686404c7924fa3f C.eqId1d125c4ab301f06b078320f5e7dfa65d D.eqId013407782cf6bdec227a4e6ad8c9dba7

3.如图,点B,C,D在eqId3d97cdc586744d208b6f69c9813af977上,eqId714a4fd635ba3a886ed9e3e013281be1,A是eqIded41d321f4c0717ac5b443aad942d9a7的中点,则eqIdd22df2977de56cc69be0c1e847653d7a的度数是(   )

@@@ea813b7e-13da-490d-9ea3-0af161a251d2

A.eqIdbe6a6301878fed2a01413020b27310a5 B.eqId391479c151307826c9765a47a5f10503 C.eqId85e283d58ea8a48989988ce61df58688 D.eqIda6c0927afc571a7c966c98192040979e

4.如图,eqIde428e7a09732be85c1224e9c8f6a71c5是边长为2的等边三角形,以eqIde428e7a09732be85c1224e9c8f6a71c5的边eqId764509115979e9958101808383672ec0为直径画eqIdd9ccea461315a9d05aa0193b937d4bfe,则图中阴影部分的面积为(   )page number 0

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@@@21578da6-3003-4135-b1f9-74ec92b0ac08

A.eqId037fb348109dc2063a268b10eb925a57 B.eqId8d6cbf0cd2ddc15eaeb977870f4fbee4 C.eqIdf0f155f8f4136ca34602d5fa98c91052 D.eqId6fa784f443b69139f73d274cb4f52ca5

5.在eqId3d97cdc586744d208b6f69c9813af977中,直径eqId8b757f0c42ae5c9a2d6a4b19e5877b27于点eqId895dc3dc3a6606ff487a4c4863e18509,eqId5963abe8f421bd99a2aaa94831a951e9为弧eqId4eedae8d316c76e3d0b451256de03fb9的中点,若eqIddd7911b182be6e510a6d7ad195a1156a,则eqIde359bc7a47c723102813220ef7283177的度数为(   )

@@@8eb2fcdd-3f6a-4a6d-ac12-c401d7ffd41c

A.eqId79a97bb4dcfab4ec7539bc783d563c49 B.eqIdad36099d4f257b472895e2c5209ea286 C.eqIdbe6a6301878fed2a01413020b27310a5 D.eqId225803a7818b0985a1b96d8e0a627251

6.如图,eqIdb80469b2acf9a0e8bf3e9e9da7b7d234分别与圆eqId1dde8112e8eb968fd042418dd632759e相切于点eqIda65601b45c42faaf78ed5b703af67891,射线eqIdaaf1438142deeac876fc7dc50552e552与eqId6aa2b5e09f8ec785c59900a529390a02的延长线相交于点eqIdc5db41a1f31d6baee7c69990811edb9f,与圆eqId1dde8112e8eb968fd042418dd632759e相交于点eqId2a30f3a8b673cc28bd90c50cf1a35281,连接eqId49b50357a6545cae8348e3059312f520和eqId274cf35acb4a1748d15c39d15a9bea7b,若eqId69b6afdcd144b8dba75cfd0458e849f2,eqIdaeedb5f361a1baff6338436fff6c471d,则圆eqId1dde8112e8eb968fd042418dd632759e的半径是(    )

@@@a4770046-82d5-4e74-8ecb-80cf0b64b970

A.eqId2967337e3fcb228dded64ab0c41a17e0 B.eqId61128ab996360a038e6e64d82fcba004 C.eqIda391005600bdd69c96750589f9adb048 D.eqId95bacae35b6e16a0a33c2bdc6bc07df7

 

二、填空题

7.如图,圆中两条弦eqIdc28d2790a97390935125aa897417f970相交于点E,其中两条劣弧eqId2d578394cd8e4d7a705599269c512960的度数分别为eqId9a1fe350b2c2c67fe2dc184992cf28ab,圆O的半径为5,eqId04ee826937d2add7a93aaa1422f8b736,则eqId9d78abbad68bbbf12af10cd40ef4c353的长为        .

@@@cda7b6bb-b110-4ffb-9cee-159b579ca1c3page number 1

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8.如图,半圆eqId1dde8112e8eb968fd042418dd632759e中,点eqIdc5db41a1f31d6baee7c69990811edb9f,eqId8455657dde27aabe6adb7b188e031c11为弧eqIdf52a58fbaf4fea03567e88a9f0f6e37e的三等分点,连接eqId683c590673eece14fea3319c4fd5eb55,eqId0dc5c9827dfd0be5a9c85962d6ccbfb1,若eqIdfcd0ced286a0fbc7e4862f8147264277,则图中阴影部分的面积为      .

@@@627da53f-31e2-46c7-bc12-0b399951c6d1

9.如图,eqIdef4113c492885ba7c47fe42ac792578f、eqIdb90e0f35eda1a729fed485f83da5ea9d、eqId828628c0876b45381c9a0edeb0fec236都是eqId3d97cdc586744d208b6f69c9813af977的半径,eqId9676a2ab4477f2096c669f1f0aa2ac50,如果eqId3d2c15801fee2405573677484f5dcfa4, eqId19fc9f894312e55c87a0d6737080e233,那么eqId3d97cdc586744d208b6f69c9813af977的半径长是        .

@@@d3f4ca94-43c8-42c6-9da4-b6694ceebf95

10.如图,eqId15c0dbe3c080c4c4636c64803e5c1f76内接于eqId64cc997d9c32b42e7d1f1e0cbe3cce23是eqId3d97cdc586744d208b6f69c9813af977的切线,A为切点,eqId48f3c9abbd78e9a6840ee5f30381daac交eqId3d97cdc586744d208b6f69c9813af977与点eqId8455657dde27aabe6adb7b188e031c11.若eqIde075468e7fb0bf30229aec01a7205977,eqIdc19f0fcacac715a1200770516d1e4a67,eqId58fc6a5e71fa379d613ac1ef1cdf1048,则eqId33e7d551cca653e2d638c8cab4c2fda8           ,eqIdae248960d8c1677cf948f8251275e863           .

@@@b5955ca7-f635-4144-bc4c-f1d4953d139a

11.如图,在eqId5138a9f70d5e8b0580e30fef6eb7baef中,过eqId5963abe8f421bd99a2aaa94831a951e9、eqIdc5db41a1f31d6baee7c69990811edb9f、eqId8455657dde27aabe6adb7b188e031c11三点的eqId3d97cdc586744d208b6f69c9813af977与eqIdf52a58fbaf4fea03567e88a9f0f6e37e相交于点eqId2a30f3a8b673cc28bd90c50cf1a35281.若eqId1e8d365d6b4ec526c4c6f2a6ddd51002,则eqIdb753dbb5a670dd4f5e23bb919e44dda2      .

@@@27bf29a4-30e6-4407-a9c4-3ea5380b4be0

12.如图,等边三角形eqId7bef5239ddbb0972700ce01daf9ee7cf中,eqIdfcd0ced286a0fbc7e4862f8147264277,分别以点eqId5963abe8f421bd99a2aaa94831a951e9,eqIdc5db41a1f31d6baee7c69990811edb9f为圆心,eqIdf52a58fbaf4fea03567e88a9f0f6e37e为半径作弧eqId85c4bdfb0db1e31e8459df1d15f9ab55和弧eqIdd40b319212a7e7528b053e1c7097e966,两弧交于点eqId2a30f3a8b673cc28bd90c50cf1a35281,点eqId7f9e8449aad35c5d840a3395ea86df6d,eqIdc5db41a1f31d6baee7c69990811edb9f,eqId8455657dde27aabe6adb7b188e031c11在同一条直线上,则阴影部分的面积是           .page number 2

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