2.4圆周角 同步练习2025-2026学年苏科版(2012)九年级数学上册

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2.4圆周角 同步练习

一、单选题

1.如图,在图中标出的eqId641653dbf9f1c25ef25344fa75769d75这5个角中,eqIdf6f9353ca110c8b81561455b232dbc15所对的圆周角是(    )

@@@ef5acbb4-7c42-43b4-b9ef-31c0e01d6d94

A.eqIda88047dcb878ed16f6ba458406817e70 B.eqIdd5b69d40b75d582c4b8ffa2369af1d41和eqId9d57899ad4774aed9ccc7bd23db72153 C.eqId605f2976297a0deaa1602ef09d6a5afa和eqId0c4c3c0a34dc21292fa32befd58d8f82 D.eqIdd5b69d40b75d582c4b8ffa2369af1d41和eqId605f2976297a0deaa1602ef09d6a5afa

2.如图,四边形eqId411b38a18046fea8e9fab1f9f9b80a5f是eqId3d97cdc586744d208b6f69c9813af977的内接四边形,若eqIde356f6ee78681e976e92db48efa2e357,则eqIdd39b8d91afc34e4a9b0fdbb6bafb9087的度数是(    )

@@@7fa1b474-42bb-443f-bc08-3b346a0ce9fb

A.eqId391479c151307826c9765a47a5f10503 B.eqId85e283d58ea8a48989988ce61df58688 C.eqId6e012dbccbaac604c8d9f48159fb21d1 D.eqIdd246136d73f82c1892b8eca365af3cb4

3.如图,已知点eqId1dde8112e8eb968fd042418dd632759e是eqId15c0dbe3c080c4c4636c64803e5c1f76的外心,连结eqIdb90e0f35eda1a729fed485f83da5ea9d,eqId828628c0876b45381c9a0edeb0fec236,若eqIdb2515ef8524594ff80ff91155479b3cc,则eqId3818a2c9919d358b4c3713396093822b的度数是(  )

@@@2a634689-025f-4aba-908e-718892b592ac

A.eqId391479c151307826c9765a47a5f10503 B.eqIdbe6a6301878fed2a01413020b27310a5 C.eqIdd36581140ebac5d28438ea63b1b23b65 D.eqId0aee6e4e9350a2665df8597ff8045bbd

4.如图,A,B,C三点在eqId3d97cdc586744d208b6f69c9813af977上,若eqId210d4d13c1050456fda02ed137f6d529,则eqIdd39b8d91afc34e4a9b0fdbb6bafb9087的度数是(   )

@@@5ebbb226-9481-4da0-8be4-f6869328c264page number 0

 

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A.eqId391479c151307826c9765a47a5f10503 B.eqId85e283d58ea8a48989988ce61df58688 C.eqIda6c0927afc571a7c966c98192040979e D.eqIdcef5188670b78eecf710cdf8d080462f

5.如图,四边形eqId411b38a18046fea8e9fab1f9f9b80a5f内接于eqId3d97cdc586744d208b6f69c9813af977,若它的一个外角eqId82f4506ff40fcf40cfda3198ac0193f6,则eqId3818a2c9919d358b4c3713396093822b的度数为(  )

@@@11cb7beb-3602-4f17-add2-d657f62b11fa

A.eqId5743813e7e57ab3316cde912116eef68 B.eqIdbfac63318cb8f1727d12cafe33d16838 C.eqId225803a7818b0985a1b96d8e0a627251 D.eqId5a3fefe07cbda3517e88b226d557dc2a

6.在eqId3d97cdc586744d208b6f69c9813af977中,直径eqId3d2c15801fee2405573677484f5dcfa4,eqId60ef95894ceebaf236170e8832dcf7e3是弦,eqIdaabecf66d94e4094f9cc46fd8ee050f1,点eqId8455657dde27aabe6adb7b188e031c11是弦eqId60ef95894ceebaf236170e8832dcf7e3上的动点,则eqId5cdb1d162351c49d277f0782a2ce27b1的最小值是(    )

(为此,我校数学兴趣小组的部分同学做了如下探究,如图,过点eqIdc5db41a1f31d6baee7c69990811edb9f作eqIdfe9f641563e8533a5bb39188aa7cc182,过点eqId8455657dde27aabe6adb7b188e031c11作eqIdd1f87b02b744534ae1ed700d21fcceb4,得eqId57e5eeba5dab05544ee80527d8148527,从而eqId5c525e0682103065f1ab3ae07b6b8c9e,…顺着同学们的思路请你做出正确的选择)

@@@456d7c37-f3a1-4a20-be37-24c39789c30c

A.eqIda7ffe8515ff6183c1c7775dc6f94bdb8 B.eqId9563540452712a60d70f76cf22a868c9 C.eqId04ddf2ae04265e2cbf674ab40bba45c7 D.eqId9b710fbda8cbfad631b4fc1591a35b13

7.如图,eqIdf52a58fbaf4fea03567e88a9f0f6e37e是eqId3d97cdc586744d208b6f69c9813af977的直径,若eqId236c72942e305dfdede4b4f44c650e59,则eqId3981e7286d41960daf4e110c1c84e03a的度数为(    )

@@@a301b9c8-bbfd-47b1-943b-9385c3aa4c5c  page number 1

 

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A.eqIda7b398c95494eddc79939f16e66cf4da B.eqId79a97bb4dcfab4ec7539bc783d563c49 C.eqIdd6c858ffdfa9cf878ee3ccc2bbcfca28 D.eqIdbe6a6301878fed2a01413020b27310a5

8.如图,eqIdf52a58fbaf4fea03567e88a9f0f6e37e是eqId3d97cdc586744d208b6f69c9813af977的弦,eqId305a88d4e0249bd16d48eda01331d2d4,C是eqId3d97cdc586744d208b6f69c9813af977上的一个动点,且eqIdb27e47690ed332c573186992b6d25654.若M,N分别是eqIdf52a58fbaf4fea03567e88a9f0f6e37e,eqId60ef95894ceebaf236170e8832dcf7e3的中点,则eqId411461db15ee8086332c531e086c40c7长的最大值是(  )

@@@3722e102-a4ae-4bd8-904e-bf5e37e51f6b

A.3 B.6 C.eqId8af2fdf1944afebb51cb6a5e6c74aadd D.eqId8ec978eb43bc4f9e7df83b0d0195dcda

二、填空题

9.如图,在eqId3d97cdc586744d208b6f69c9813af977中,eqId65c5840e0454fdec7d2158072c43b8db,则eqIdb6283ebf10fbec8ec59d0ca2f8f183b3的度数为          .

@@@36d9414e-c779-4fa5-8e2a-ee002e07c5f6

10.如图,eqIde428e7a09732be85c1224e9c8f6a71c5内接于eqId091e86ca89e484b331fd90125a5e5af3O,eqIdb79dd200766db27fb90d6bd1992cf658是eqId091e86ca89e484b331fd90125a5e5af3O的直径,点D是弧eqId87095a53e5471c2bbe29c70f10822d51上一点,若eqIda93c2edec18a98feae8067f962a6a8df,则eqIdca940876c9945a3487ddf97a4cbe94bb的度数是           .

@@@91008bb2-9f65-4e74-897b-42f387e967c0

11.四边形eqId411b38a18046fea8e9fab1f9f9b80a5f是eqId3d97cdc586744d208b6f69c9813af977的内接四边形,连接eqIdef4113c492885ba7c47fe42ac792578f、eqId828628c0876b45381c9a0edeb0fec236,eqId7cdbb249b23e5f87f917b93203b11630,则eqIdafde09d82ae96f00c135732baee64776        eqId83873a9d782f2588c5eedbfe73f9bc2f.

12.如图,四边形eqId411b38a18046fea8e9fab1f9f9b80a5f内接于eqId3d97cdc586744d208b6f69c9813af977,过点eqId5963abe8f421bd99a2aaa94831a951e9作eqIde932b4add3175358f15be0e1f7104e79,交eqId9d78abbad68bbbf12af10cd40ef4c353于点eqId2a30f3a8b673cc28bd90c50cf1a35281.若eqId51c62558c45006d8830b72d31aae0c39,则eqId1c0c46783b77cce2bd4b45b9acc61884          . page number 2

 

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