2026年中考数学圆 专题训练

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圆 2025-2026学年中考数学 专题训练

学校:___________姓名:___________班级:___________学号:___________

 

一、单选题(共30分)

1.(本题2分)如图,eqId3d97cdc586744d208b6f69c9813af977是eqId15c0dbe3c080c4c4636c64803e5c1f76的外接圆,eqId6512fc9117039b712cbf14328d585eb1,则eqIdfebc9a89d0d1c97b88c0f4acd32b4e67的大小为(   )

@@@8d5e7e6d-43d1-442b-9a17-43d1f1813f88

A.eqId108adee7086a57ca31789455114ee09c B.eqIdbe6a6301878fed2a01413020b27310a5 C.eqId83c2835f13ee9f6a1a5fd53137d0f1a1 D.eqIddef6c856f7620a338f87757789bdee3e

2.(本题2分)如图,eqIdf52a58fbaf4fea03567e88a9f0f6e37e是eqId3d97cdc586744d208b6f69c9813af977的直径,弦eqId8b757f0c42ae5c9a2d6a4b19e5877b27于点E,eqId212bfbd5575772ca36d6fc3e7b246e49,如果eqId8e1f4f255d191786f7d330d278868c2d,则eqId3d97cdc586744d208b6f69c9813af977的半径长为(   )

@@@a799cfce-00cd-4a35-bee1-3934b40463a4

A.eqIda7ffe8515ff6183c1c7775dc6f94bdb8 B.2 C.4 D.1

3.(本题2分)如图,扇形的半径是eqIdeecf11933bdc147534f44b4f9fa780ba,圆心角为eqId84288b493b64c3a30466fb9075621da4,用这个扇形围成一个圆锥,则该圆锥的底面圆的半径为(   )

@@@80385e19-45f3-4ae4-857c-5f1dc7102096

A.eqIde013b9ef84a6ce3e0b57cb241c23a5e2 B.eqIdeecf11933bdc147534f44b4f9fa780ba C.eqIdc78a9462a38db32bcad8c9e4aeaa926d D.eqIdfcb350074994eccd15cd3126ceabce41

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4.(本题2分)如图,eqIdbd33764ff4efddfe11a98a609753715c,eqIdd2be49c37e30a3ced0364c3e74d8c687是⊙eqId1dde8112e8eb968fd042418dd632759e的两条切线,eqId5963abe8f421bd99a2aaa94831a951e9、eqId7f9e8449aad35c5d840a3395ea86df6d是切点,eqIdc5db41a1f31d6baee7c69990811edb9f是优弧eqIdf52a58fbaf4fea03567e88a9f0f6e37e上一点,且eqId469aa347bc86c708199c8cd2e08c8603,则eqId194741f4d2ae7ee44cafca780361446a的度数为(    )

@@@7af6b6a3-065c-4de4-a051-3d11a6a5d695

A.20° B.30° C.40° D.80°

5.(本题2分)如图,在圆内接正六边形eqId1019c0405370c673e37b46c066eba839中,半径eqId90bd1ffa355edcdc023b5a6b47ca7526,eqIdcff3fb59f59f74cab8f6c0d5268459a3,垂足为G,这个正六边形的边心距eqId76c51486490ea53d773a76da9fda285b的长为(   )

@@@87fc1218-df1a-4b98-9594-648ffa1e34ba

A.1 B.eqIdcf298f00799cbf34b4db26f5f63af92f C.eqIda7ffe8515ff6183c1c7775dc6f94bdb8 D.2

6.(本题2分)如图,eqIdb79dd200766db27fb90d6bd1992cf658为eqId3d97cdc586744d208b6f69c9813af977的直径,点C,D是eqId3d97cdc586744d208b6f69c9813af977上位于eqIdb79dd200766db27fb90d6bd1992cf658异侧的两点,分别连接eqId5764daacbf2699cfda45e0bf530b8d8c.若eqId0ff29971ccc633d89832ffa9bd54afa3,则eqIdf3702b5620dbee356a8e560c78d223ad的度数为(   )

@@@56835a03-daa6-4d46-b5ce-dd121d102384

A.eqId3c030b25575d683af91c06e6a3e4f463 B.eqId8b342d5cb6dd1c84a82f6aca68ed829c C.eqIdc3ad1b0a76a887783392268ae203ad22 D.eqId50268903c29b80fd8bb019da99e9db0d

7.(本题2分)如图,eqIdf52a58fbaf4fea03567e88a9f0f6e37e是eqId3d97cdc586744d208b6f69c9813af977的直径,点eqIdc5db41a1f31d6baee7c69990811edb9f,eqId8455657dde27aabe6adb7b188e031c11在eqId3d97cdc586744d208b6f69c9813af977上,eqIdaa18c2a78c400c80a5760743f31771c0,过点eqId8455657dde27aabe6adb7b188e031c11作eqId3d97cdc586744d208b6f69c9813af977的切线交eqIdf52a58fbaf4fea03567e88a9f0f6e37e的延长线于点eqIda0ed1ec316bc54c37c4286c208f55667.若eqId1c7317d43414d8d968f0cb11f533f1de,则图中阴影部分的面积为()page number 1

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@@@a863e181-900f-47b1-a456-93810cb59eaa

A.eqIde32a857de4e70ef48e6ff4e4a2db0894 B.eqId6fb472317a382542d44d13699eac264f C.eqId27e0a1e06292a8bcbeca2b61f47bf4e9 D.eqId59ef62be07a8b14e20fd3a9d21cf27c4

8.(本题2分)如图,在等腰三角形eqId7bef5239ddbb0972700ce01daf9ee7cf中,eqId3f138deab9e5a4baaada287ed1a78df9,以eqIdf52a58fbaf4fea03567e88a9f0f6e37e为直径作eqId3d97cdc586744d208b6f69c9813af977,与eqId60ef95894ceebaf236170e8832dcf7e3、eqId0dc5c9827dfd0be5a9c85962d6ccbfb1分别相交于点eqId8455657dde27aabe6adb7b188e031c11、eqId2a30f3a8b673cc28bd90c50cf1a35281.已知eqIda0ed1ec316bc54c37c4286c208f55667是eqId3d97cdc586744d208b6f69c9813af977上一点,eqId239fb5d996bc0e9c3bb1da45d19cb32c,则eqId0bd6ffb78dad3375efa3b08ab518553d的长是(    )

@@@aafcae3b-838b-42bf-8baa-9b4eda1db365

A.eqIda8f64f3cf180549ad1f006994864399d B.eqId5afece9480f98da395a42530b2ed9a49 C.eqId7d80f16c3278cd252725625dcf253cda D.eqId2141f0848ddb5a16a838be148c29802b

9.(本题2分)如图,eqIdaa29fe6cd9eb51c184f6299d437375cb是eqId3d97cdc586744d208b6f69c9813af977的直径,eqId6353ab67fbb25d64987b384b21cc339a,点B是eqId87f40e86b2e370f43e6ee6e7cfffadf0的中点,点P是直径eqIdaa29fe6cd9eb51c184f6299d437375cb上一动点.连接eqIdb79dd200766db27fb90d6bd1992cf658,eqId80672dda9430cb42b3136bcb1b67bbad,eqId13af018556f0b484ed38519f2edc791c.若eqId2dcbde487fedd775b77cebce7d215ecf,则eqIda13ec9a812274ad0839f20ba17348687的最小值是(   )

@@@38f53e51-76ed-4954-b963-57e0f5247c74

A.1 B.eqIdcf298f00799cbf34b4db26f5f63af92f C.2 D.eqId95bacae35b6e16a0a33c2bdc6bc07df7

10.(本题2分)如图是某户外用品公司设计的一款圆锥形单顶帐篷的三视图(无底面,单位:eqIde15e00f40396e914d1d9955bd7785f1f),为完成100顶这种帐篷的订单制作,公司采购部门需采page number 2

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