第二章《圆》期末复习强化练习 2025-2026学年苏科版九年级上册数学

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2025-2026学年苏科版九年级上学期数学第二章《圆》期末复习强化练习

一、选择题

1.(24-25九年级上·江苏无锡·期末)下列说法正确的是(   )

A.三点确定一个圆 B.相等的圆周角所对的弧相等

C.各边都相等的多边形是正多边形 D.三角形的内心到三角形三边的距离相等

2.(24-25九年级上·江苏镇江·期末)若eqId3d97cdc586744d208b6f69c9813af977的直径为8eqId9efa9fbcfb9595e2f031aa691db4564b,点A到圆心O的距离为4eqId9efa9fbcfb9595e2f031aa691db4564b,那么点A与eqId3d97cdc586744d208b6f69c9813af977的位置关系是(    )

A.点A在圆外 B.点A在圆上 C.点A在圆内 D.不能确定

3.(24-25九年级上·江苏苏州·期末)如图,在8×8的正方形网格中,点A,B,C,P,Q,M,N都在格点上(正方形的顶点即格点),若⊙O是以A,B,C为顶点的三角形的外接圆,则下列各点中,在⊙O上的是(   )

@@@10550e60-e297-4261-bd7f-4235f7351021

A.点P B.点 Q C.点M D.点N

4.(24-25九年级上·江苏无锡·期末)如图,eqIdf52a58fbaf4fea03567e88a9f0f6e37e是eqId3d97cdc586744d208b6f69c9813af977的直径,弦eqId8b757f0c42ae5c9a2d6a4b19e5877b27于点eqId2a30f3a8b673cc28bd90c50cf1a35281,连接eqId03902478df1a55bc99703210bccab910.若eqId863544b6162ca5c8bc38ade2fc28f8a1,eqIdde8cc58ef27567f0ab06eb1012aec330,则eqId68a83fdd2ba72a2dba0b6b10bb3e06b9的长为(   )

@@@470ab6f8-422d-414e-aa32-f8763051265e

A.5 B.6 C.7 D.8

5.(24-25九年级上·江苏泰州·期末)如图,eqIdf52a58fbaf4fea03567e88a9f0f6e37e是半圆eqId1dde8112e8eb968fd042418dd632759e的直径,点eqIdc5db41a1f31d6baee7c69990811edb9f,eqId8455657dde27aabe6adb7b188e031c11在半圆eqId1dde8112e8eb968fd042418dd632759e上,eqId81f1655dd2a2b82422d25cb970295e40,eqId03902478df1a55bc99703210bccab910,eqId0dc5c9827dfd0be5a9c85962d6ccbfb1相交于点eqId2a30f3a8b673cc28bd90c50cf1a35281,若eqIdf7bae5203f4b4acf23779114b3466e17,则eqId83bb3820bab977db734f4335e4fde720,eqId4eedae8d316c76e3d0b451256de03fb9,eqIde6e490f703eb6c9bb1278c78ebc2d661围成的图形的阴影面积为(   )page number 0

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@@@fb0171a3-4d95-451c-aeea-43c80a987641

A.eqIdeabf78519fed87a47724fab04b1079b2 B.eqId09bc350ca73ef75ef6bc670fe432795f C.eqId28a6e39675b3eda3ef16680aac0e6da5 D.eqId197be847bb7c27bf238bafea3da7d942

6.(24-25九年级上·江苏无锡·期末)如图,eqIdf52a58fbaf4fea03567e88a9f0f6e37e切eqId3d97cdc586744d208b6f69c9813af977于点eqId7f9e8449aad35c5d840a3395ea86df6d,连接eqIdef4113c492885ba7c47fe42ac792578f交eqId3d97cdc586744d208b6f69c9813af977于点eqIdc5db41a1f31d6baee7c69990811edb9f,过点eqId7f9e8449aad35c5d840a3395ea86df6d作eqIdad26e85570e7ad3f8781cd41a7f2aa19交eqId3d97cdc586744d208b6f69c9813af977于点eqId8455657dde27aabe6adb7b188e031c11,连接eqId9d78abbad68bbbf12af10cd40ef4c353.若eqId4ef4f7cbec541773d6fb7ed63e86f7b0,则eqId3818a2c9919d358b4c3713396093822b的度数为(   )

@@@5fe4a6bd-20cd-4129-a923-9f0f0396cb21

A.eqIdb31a14bd2a972f43d7a26a99589ad083 B.eqIdf6b86c22b670a8e9f3896f9e8883fbbb C.eqIdd36581140ebac5d28438ea63b1b23b65 D.eqId79a97bb4dcfab4ec7539bc783d563c49

7.(24-25九年级上·江苏南京·期末)如图,在正eqIdb6a24198bd04c29321ae5dc5a28fe421边形eqId613e0062111a4337e4f38d0763fac544中,eqId23166933a764dee68301484206710a4a的度数是(    )

@@@73672a3b-18bb-4e12-8942-5ce36ebd3a9f

A.eqId93ab5abe90798331bff534292d0f3843 B.eqId884b0636403a551fea81c0e790505ba0 C.eqId165d22519c44d51e2823d94a40de7d3a D.eqIdefb7062e366eeebfab3732bf0800966e

8.(24-25九年级上·江苏镇江·期末)如图,矩形纸片eqId411b38a18046fea8e9fab1f9f9b80a5f中,把它分割成正方形纸片eqId369eb8ad56da7dc1cdb7c43762be4bee和矩形纸片eqIde41c2d7ae6aaf6d91129ed5221a415a7后,分别裁出扇形eqId20af148464904e21f4374cc8fb886fba和半径最大的圆,恰好能作为一个圆锥的侧面和底面,若eqId8c7a3d679b4dae63575903387a76ce45,eqId7b299f5cddf9da033ec3a996f42ae54b,则eqIdd053b14c8588eee2acbbe44fc37a6886与eqId81dea63b8ce3e51adf66cf7b9982a248的函数关系式为(    )

@@@ce3cfcd2-524b-48a6-b1d0-8fd22d5b9a4a

A.eqIda02430f83e4f662e788d234da3c56ce2 B.eqId73ac1756e6cc3266bd7198a024f871af C.eqIdfd9465ce1e9dace38b923bc17a7c703e D.eqId2c50df830e9914fd96f1e751c5bc68bbpage number 1

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9.(24-25九年级上·江苏泰州·期末)如图,在eqId15c0dbe3c080c4c4636c64803e5c1f76中,eqId8ddd436823a0bba4a983bd3f2a285f9d边上有一动点eqId8455657dde27aabe6adb7b188e031c11,作点eqId7f9e8449aad35c5d840a3395ea86df6d关于直线eqId03902478df1a55bc99703210bccab910的对称点eqId3953cec61ac602ce5eb59b7912352179,在点eqId8455657dde27aabe6adb7b188e031c11从点eqId7f9e8449aad35c5d840a3395ea86df6d运动到点eqIdc5db41a1f31d6baee7c69990811edb9f的过程中,点eqId3953cec61ac602ce5eb59b7912352179的运动路径长为(    )

@@@d5c5fe1a-572f-4765-ad14-4a6aeca80894

A.eqId2d88591679796c52024d11c4de641bdb B.eqId9f785147690f83dcee0a0bc6c327e75a C.eqIdc4966e5af166b69a0a38a98abf555b6b D.eqIdc785d02e9946d5d217fe18cffa487b98

10.(24-25九年级上·江苏无锡·期末)如图,在等腰直角三角形eqId7bef5239ddbb0972700ce01daf9ee7cf中,eqId209acf15985d1ea1ad86fc4a37e38c0b,点eqIddad2a36927223bd70f426ba06aea4b45在以斜边eqIdf52a58fbaf4fea03567e88a9f0f6e37e为直径的半圆上,eqIdac047e91852b91af639feec23a9598b2为eqId48f3c9abbd78e9a6840ee5f30381daac的中点,则点eqIddad2a36927223bd70f426ba06aea4b45沿半圆由点eqId5963abe8f421bd99a2aaa94831a951e9运动至点eqId7f9e8449aad35c5d840a3395ea86df6d的过程中,线段eqIde69d2b798744645af88a4fa411344a83的最小值为(   )

@@@301d3e5c-2e9b-439d-9cea-69944eae87f7

A.eqIdd1f190b17530d81d927c358ac84757a4 B.eqIdc34e01955f8c8fe2f0041b35d8d602a7 C.eqId7abbb7e6aa710f6de2b0dec3fc54bbcf D.eqIdc24c86783d058add3904d69c5aaf1b84

 

二、填空题

11.(24-25九年级上·江苏宿迁·期末)用一个圆心角为eqId84288b493b64c3a30466fb9075621da4,半径为12的扇形做一个圆锥的侧面,则这个圆锥的底面半径为          .

12.(24-25九年级上·江苏镇江·期末)如图,eqId5963abe8f421bd99a2aaa94831a951e9、eqId1dde8112e8eb968fd042418dd632759e在网格中小正方形的顶点处,每个小方格的边长为eqIdbdaa19de263700a15fcf213d64a8cd57,在此网格中找两个格点(即小正方形的顶点)eqId7f9e8449aad35c5d840a3395ea86df6d、eqIdc5db41a1f31d6baee7c69990811edb9f,使eqId1dde8112e8eb968fd042418dd632759e为eqId15c0dbe3c080c4c4636c64803e5c1f76的外心,则eqId0dc5c9827dfd0be5a9c85962d6ccbfb1的长度是      .

@@@24ce6c57-7763-46c0-9b72-6f87f6c1eec9

13.(24-25九年级上·江苏南通·期末)如图,四边形eqId411b38a18046fea8e9fab1f9f9b80a5f内接于eqId3d97cdc586744d208b6f69c9813af977,eqId0dc5c9827dfd0be5a9c85962d6ccbfb1为eqId3d97cdc586744d208b6f69c9813af977的直径,eqId2e735a28578ba191da6d4f3b0f8e8729.点eqId2a30f3a8b673cc28bd90c50cf1a35281在eqId7dea2ae9d515f9ab351ad72306b776ee的延长线上,若eqId8b24aed37ac14e0c1131df008632ab75,则eqIdfebc9a89d0d1c97b88c0f4acd32b4e67的度数为     .page number 2

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