锐角三角函数专题训练 2025-2026学年中考数学

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锐角三角函数 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,在菱形eqId411b38a18046fea8e9fab1f9f9b80a5f中,eqIde075468e7fb0bf30229aec01a7205977,点eqId2a30f3a8b673cc28bd90c50cf1a35281为eqId0dc5c9827dfd0be5a9c85962d6ccbfb1的中点,连接eqId68a83fdd2ba72a2dba0b6b10bb3e06b9交eqIdd40b319212a7e7528b053e1c7097e966于点O,连接eqId828628c0876b45381c9a0edeb0fec236,则eqIdbc819fc57e4dab3da935fce6b19b9f01的值是(    )

@@@616e3e37-e9d2-409e-a380-1c5091150564

A.eqId499e04dc977daf19ab514a2c5ab0e507 B.eqId69a8b76e36783a69d14ec54af82c7df0 C.eqId827ccf0c04aa941ba20d5f4c6068b46b D.eqId860884c0017c8bceb5b0edff796c144f

2.(本题2分)如图,在eqId15c0dbe3c080c4c4636c64803e5c1f76中,eqId9c06154cae3bf7a8ce5a1e97a7380875,eqId03902478df1a55bc99703210bccab910是eqId15c0dbe3c080c4c4636c64803e5c1f76的中线,eqId3e3f5dc11efe60b4fd9a13b1d6b83842于点eqId2a30f3a8b673cc28bd90c50cf1a35281.若eqId54275b7e571660d0a9e0370fbfe5050b,eqIdecf7679c8b4b1e442ce4286d4b0e9c32,则eqId68a83fdd2ba72a2dba0b6b10bb3e06b9的长为(    )

@@@8b0705b0-0385-40d7-b2b2-f770afa8d47d

A.eqIdbdb4c79d43649223663ba1806fdea942 B.eqId6f8c4c029e552954bd493b49aeab82d5 C.eqIda316c27ccf35e5e9b4294364985927dc D.eqIdb8860d9787671b53b1ab68b3d526f5ca

3.(本题2分)如图,在四边形eqId411b38a18046fea8e9fab1f9f9b80a5f中,eqIde7a716b9fd066d4451a6bcf5541593df,则四边形eqId611f100dcfa7803db6eb233e2e7f2dab与四边形eqId411b38a18046fea8e9fab1f9f9b80a5f的面积比为()

@@@2a031a12-921c-42c1-a5b3-d0f027452e79

A.eqIdb696b79a748797ef1e56fa31ee9a450d B.eqId1d86ab7c97cd8a0b15ba5efc1be94230 C.eqIdeac97e6740365c85ad857aff85cefbe5 D.eqIdbf31876698721a199c7c53c6b320aa86page number 0

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4.(本题2分)在矩形eqId411b38a18046fea8e9fab1f9f9b80a5f中,点E在边eqId0dc5c9827dfd0be5a9c85962d6ccbfb1上,eqIda206d29917498e8ec8acf6a7641c040c,将eqId3a0acc93490a6a784eb62201d93dd93d沿着eqIde6e490f703eb6c9bb1278c78ebc2d661翻折,点C的对应点F恰好落在线段eqId68a83fdd2ba72a2dba0b6b10bb3e06b9上,则eqId2465ee1fec12351943f15055dfd6ec73的值为(   )

@@@7e36d1a9-13b7-487f-8105-5a636a9ec864

A.eqIdf89eef3148f2d4d09379767b4af69132 B.eqId860884c0017c8bceb5b0edff796c144f C.eqIdbdaa19de263700a15fcf213d64a8cd57 D.eqId18483c9c195ecd922772527fa85c0fcb

5.(本题2分)如图,要测量湘江两岸相对的两点eqId148893831954124f313e725811b1b6cd的距离,可以在河边取eqIdbd33764ff4efddfe11a98a609753715c的垂线eqIdd2be49c37e30a3ced0364c3e74d8c687上的一点eqIdc5db41a1f31d6baee7c69990811edb9f,测得eqIdfa145e221c8e5b479ed685f7790eef24米,eqId8944f2901e531698c1c5f4a28beb9372,则河宽eqIdbd33764ff4efddfe11a98a609753715c为(    )

@@@5201612d-475c-4b50-b53d-2994f1197ff4

A.eqIdb70cd7c6967ab49f6b406e0b416e3ccc米 B.eqId044215bc7175fd1ec3c088d95aa7d8eb米 

C.eqIdfd8e05ce8713692ae03661366374e6d4米 D.eqId421f97043b931b05781130010bfe3782米

6.(本题2分)如图,在正方形eqId5cb3f9a5da641be35117fd35ba07a6aa中,在对角线eqIdb3182db896bc2462331796e2a6108363上取一点E,使eqIdce45219c1c0c50d8dfcd8d156009652f,连接eqIda6b41d4070854edfaa24071137b314cb并延长,交边eqIdb79dd200766db27fb90d6bd1992cf658于点H,过点D作eqIdd1893d78af450a5fa09810537adc2dfa于点F,连接eqId8c4eccda4edcee29a5f15609e85106df,在eqIda679040c4d556723e482bacbab41356d上取点G,使eqId3d34e8a566da28156e2d395468cb2938,则eqId52fa34269595fb910a27edb294e642e1的值为(   )

@@@4ba60eb0-2b55-4b75-bc0e-233516b6277f

A.eqIdcf298f00799cbf34b4db26f5f63af92f B.eqIda7ffe8515ff6183c1c7775dc6f94bdb8 C.2 D.eqId2967337e3fcb228dded64ab0c41a17e0

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7.(本题2分)如图,在eqIddd967903ed5a6f640a5b801ec8be0070中,eqIded10df4140819d5451773a45de66201b,eqIdf1682d306c38087d9e6f7efb9cec596a,eqId07140f277a35733d8c97577ccdd4e3ab,将eqId15c0dbe3c080c4c4636c64803e5c1f76绕点eqId5963abe8f421bd99a2aaa94831a951e9逆时针旋转得到eqIda25c28359f8d8da9eaf4672a6cf8ae4f,点eqIdcbc87edcf8067ac989c734f04670985a的对应点分别为点eqId98842968c75427c940b34de391a3a778,eqId88929f4ba0851730d5f941d426b87548与eqId764509115979e9958101808383672ec0相交于点eqIda0ed1ec316bc54c37c4286c208f55667,当eqId1a6c6e7c025362c46a64a8956761f08e平行于eqIdb79dd200766db27fb90d6bd1992cf658时,则eqIda679040c4d556723e482bacbab41356d的长是(   )

@@@f0ade4c1-aa36-461f-947c-ec1fb9e73d97

A.eqId7ad9de54606c4a72d0f8decb6b0e63b2 B.eqIdd297eab7380f6a28ec010218d9ab4ba1 C.eqId2c6c4a684e08d7a47b544929c449c054 D.eqId31da7291140e430a11e2a10cc6cdefbb

8.(本题2分)图1为武术动作机器人,图2为其示意图.机器人上半身eqId9d78abbad68bbbf12af10cd40ef4c353垂直于地面水平线eqIdf52a58fbaf4fea03567e88a9f0f6e37e,手臂eqId066cd386723885c535ea720f5817847a.已知eqIdc563e91bda35c7f579af3b70fd6f4f3a,则该机器人拳头(eqId2a30f3a8b673cc28bd90c50cf1a35281点)到地面eqIdf52a58fbaf4fea03567e88a9f0f6e37e的高度为(   )

@@@9baf3404-9533-439a-8a55-57dacd9e6a55

A.eqIdbf5100d56e1060c0b0084dda5d3a17e3 B. eqId6fe3e2ed369f645a6d22b8e5ae0899b0 

C. eqId9478138c92e25e27c8dd2c5d9c9da5a7 D. eqId05d9270172bf25f8f00ec787b60cc5b8

9.(本题2分)如图是一款符合国标的可供学生午休的躺椅简化结构示意图,已知椅座eqIdf52a58fbaf4fea03567e88a9f0f6e37e平行于地面eqId9d78abbad68bbbf12af10cd40ef4c353,支点eqId1dde8112e8eb968fd042418dd632759e到地面的距离eqId683c590673eece14fea3319c4fd5eb55为eqId294f5ba74cdf695fc9a8a8e52f421328米,靠背eqId68a83fdd2ba72a2dba0b6b10bb3e06b9的长为eqIdb6a24198bd04c29321ae5dc5a28fe421米.若eqId5980abf800e1727aa8e47b73a30feb1a,则点eqId2a30f3a8b673cc28bd90c50cf1a35281到地面的距离eqId49b50357a6545cae8348e3059312f520的长是(   )

@@@4a91704a-063c-4b5c-a8c0-aa912dac3a96

A.eqId06c63db4a9345b24f9c032fec012ba29米 B.eqId363505529cfda9769acd5fa4f14da162米

C.eqId04f21cffbe96e639a2d30c60e399646a米 D.eqId2ea79308d37b0de83493dad7451379f9米page number 2

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