9.4 矩形菱形正方形(第一课时 矩形)同步练习 2022-2023学年苏科版数学八年级下册

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9.4 矩形 菱形 正方形(第一课时 矩形) 同步训练

一、单选题

1.下列性质中,矩形具有但平行四边形不一定具有的是(    )

A.对边平行且相等 B.对角线相等

C.对角相等 D.对角线互相平分

2.矩形eqId411b38a18046fea8e9fab1f9f9b80a5f两条对角线eqId60ef95894ceebaf236170e8832dcf7e3、eqIdd40b319212a7e7528b053e1c7097e966相交于点O,则下列结论不一定正确的是(    )

A.eqIdcfc1f76257275ab4b04f9bc913535670      B.eqId7de966c316db1013defc56372fcf814e     C.eqId9fca3734de79f7f50b552ef62b29dc7c    D.eqId89a582e3ea2ec92c9b6824a88d17211f

3.如图,在矩形eqId411b38a18046fea8e9fab1f9f9b80a5f中,eqId60ef95894ceebaf236170e8832dcf7e3、eqIdd40b319212a7e7528b053e1c7097e966交于点O,eqId68fbbd17c89f03dbb61cd6ffdb9a0344于点E,eqId08f3c12ee452365fff1a8ffbc9178783,则eqIde7d19f963f7c803bcfcbb265ec6d4304的度数为(    )

A.eqIdfc710f9002e6854cd0326d14bbf27c98 B.eqId6466699a6dc23646f0906e0f97a613c0 C.eqIdcc26cc7a314e20192020c2a1d52ae3ef D.eqIdf6b86c22b670a8e9f3896f9e8883fbbb

4.如图,在矩形eqId411b38a18046fea8e9fab1f9f9b80a5f中,对角线eqId60ef95894ceebaf236170e8832dcf7e3、eqIdd40b319212a7e7528b053e1c7097e966相交于点O,若eqId68a83fdd2ba72a2dba0b6b10bb3e06b9平分eqId2947ca8e0cdbeb4aab80ce9e7b63ba98交eqId0dc5c9827dfd0be5a9c85962d6ccbfb1于点E,且eqId0ef8716a925bb16f4345f8852075b71f,连接eqIda299d2b999568e80be8005565ba209a4,则eqId1b7c903121c158dafe5e7f3712897ed8(    ) 

A.eqId79a97bb4dcfab4ec7539bc783d563c49  B.eqIdbe6a6301878fed2a01413020b27310a5  C.eqId68a4c9b697e3df2b5469b71d3b5e47a2  D.eqIdc94548d8806ab20bbc2690298187bc66

5.两个矩形的位置如图所示,若eqId3adc263b0003287ce8c2f5f009a902ac则eqId9d57899ad4774aed9ccc7bd23db72153的度数为(    )

A.eqIdf6b86c22b670a8e9f3896f9e8883fbbb B.eqId76c12e76fbd84eeec721386bd3b04cc4 C.eqIdbe6a6301878fed2a01413020b27310a5 D.eqId79a97bb4dcfab4ec7539bc783d563c49

6.如图,矩形eqId411b38a18046fea8e9fab1f9f9b80a5f中,eqIdfc11331a7b2d2619b40ee6d34c3bd620,eqIdfc34db5860990e51ba31edc8cdd077c2,点eqId2a30f3a8b673cc28bd90c50cf1a35281为直线eqIdf52a58fbaf4fea03567e88a9f0f6e37e的一点,连eqId1fc56c77464a17a1e97b568762a3e2c6,平移eqId1fc56c77464a17a1e97b568762a3e2c6至eqIdd004d2d115b477ade6af7ddb93db0df8,连接eqIde6e490f703eb6c9bb1278c78ebc2d661、eqId4cae70b8a9d2d2e96dea62c00ced04b9,则四边形eqIdc5d803de8455b9b10eaf9c9d0538835a的面积是(  )

A.eqId58b184c94e38f1e5dbe750b2168c2a37 B.eqId4b72ac611ae66b86761e080761d9aabc C.eqId4b7f27ebcef70a3ebbbe8d2e53ea0896 D.eqIdb53c7539ed297ea63b9ace6f5cc58ca8

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7.如图,把一个长方形的纸沿对角线eqIdd40b319212a7e7528b053e1c7097e966折叠,eqIdd79c5041878c15de69253ca11a03ab1b的周长为12,则长方形eqId411b38a18046fea8e9fab1f9f9b80a5f的周长是(    )

A.23 B.24 C.25 D.26

8.如图,在平面直角坐标系中,长方形 eqId411b38a18046fea8e9fab1f9f9b80a5f 的边 eqId03902478df1a55bc99703210bccab910,eqIdf52a58fbaf4fea03567e88a9f0f6e37e 分别在 eqId81dea63b8ce3e51adf66cf7b9982a248 轴,eqIdd053b14c8588eee2acbbe44fc37a6886 轴上,eqIdefc6e4b936d7a800e839a30c3839574d,eqIdecf7679c8b4b1e442ce4286d4b0e9c32.现长方形以每秒 eqId61128ab996360a038e6e64d82fcba004 个单位长度沿 eqId81dea63b8ce3e51adf66cf7b9982a248 轴正方向匀速运动,同时点 eqIddad2a36927223bd70f426ba06aea4b45 从 eqId5963abe8f421bd99a2aaa94831a951e9 点出发以每秒 eqIdbdaa19de263700a15fcf213d64a8cd57 个单位长度沿 eqId3f6e4b232691562dc6ec2cd397f58809 的路线作匀速运动,当运动 eqIde8d02ea8c4988c5c28ab93f0d70fb55a 秒时,eqId532d9de08698f61d7c010805c61a4ec5 的面积为 (    )

A.eqIde8d02ea8c4988c5c28ab93f0d70fb55a B.eqId4b837fd9c52f60bfb3b6852733abc790 C.eqId417ef963f7042f5648acebc2f38246f3 D.eqId492b6d3883713fcaa8a4fdd87b87b480

二、填空题

9.在矩形eqId411b38a18046fea8e9fab1f9f9b80a5f中,作eqIdfebc9a89d0d1c97b88c0f4acd32b4e67的平分线交直线eqId03902478df1a55bc99703210bccab910于点E,则eqIdeb3de20ba8bda63c650ef571be155702是 _____度.

10.如图,将矩形eqId411b38a18046fea8e9fab1f9f9b80a5f绕点eqId5963abe8f421bd99a2aaa94831a951e9顺时针旋转eqIdf1845ed03ec08feac9adee161aab3449,得到矩形eqIdbcdd511e3eb724a9add64021b9b6f8c1,则eqIdcdcee5cf673e4e2bf0c60661c9037f2d______eqIdd9f41dad8e7fa2d023e439285532643f

11.如图,矩形eqId411b38a18046fea8e9fab1f9f9b80a5f的对角线eqId60ef95894ceebaf236170e8832dcf7e3,eqIdd40b319212a7e7528b053e1c7097e966相交于点O,过点O作eqId299fe914d64f3a06f9b641d5591fc47a,交eqId03902478df1a55bc99703210bccab910于点E,若eqId0ec53f6d14ffde50237af92d783ee182,则eqId418ebb89d29f4f631b055c911e8d178a的大小为__________.

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12.如图,在矩形eqId411b38a18046fea8e9fab1f9f9b80a5f中,对角线eqId60ef95894ceebaf236170e8832dcf7e3、eqIdd40b319212a7e7528b053e1c7097e966相交于eqId1dde8112e8eb968fd042418dd632759e,eqId68fbbd17c89f03dbb61cd6ffdb9a0344于eqId2a30f3a8b673cc28bd90c50cf1a35281,eqId1970cfbc060d8e6784bd4536ddf644f2,则eqId19c6ed61381807672914fa66f4648d0c的度数是___________.

13.如图在矩形eqId5cb3f9a5da641be35117fd35ba07a6aa对角线eqIde1a9c6a736e6eac98a676fa3232db5a5,eqIdb3182db896bc2462331796e2a6108363相交于点O,若eqIdc09ccaa18974b96cf4d252fd74a52a9c,eqId0e7fa3aea72ccc36948a4a90f7368f71,则eqIdb3182db896bc2462331796e2a6108363的长为_____.

14.如图,过矩形eqId411b38a18046fea8e9fab1f9f9b80a5f的对角线eqIdd40b319212a7e7528b053e1c7097e966上一点K分别作矩形两边的平行线eqId411461db15ee8086332c531e086c40c7与eqId7a5f1641947153c80b987320885a2b57,那么图中矩形eqIde6672b7abad18754a204d2697181f362的面积eqIde097c8d4c948de063796bd19f85b3a9a与矩形eqId647a8778acb134a2238c26c318034030的面积eqId1e0bd63f55069a3bc870915010b39225的大小关系是eqIde097c8d4c948de063796bd19f85b3a9a_____eqId1e0bd63f55069a3bc870915010b39225;(填“>”或“<”或“=”)

15.如图,矩形eqId411b38a18046fea8e9fab1f9f9b80a5f沿eqId49b50357a6545cae8348e3059312f520折叠,使顶点B和点D重合.若eqId69f4df396aed4f14cc52af86141eff1e,则eqIde6e490f703eb6c9bb1278c78ebc2d661的长为______.

16.如图,四边形eqId411b38a18046fea8e9fab1f9f9b80a5f是矩形,点eqId2a30f3a8b673cc28bd90c50cf1a35281在线段eqId03902478df1a55bc99703210bccab910的延长线上,连接eqId85c4bdfb0db1e31e8459df1d15f9ab55交eqId9d78abbad68bbbf12af10cd40ef4c353于点eqIda0ed1ec316bc54c37c4286c208f55667,eqId9f49d7dee5859e3a40c1facc7d10fd63,点eqId895dc3dc3a6606ff487a4c4863e18509是eqId274cf35acb4a1748d15c39d15a9bea7b的中点,若eqId82773737609e65dea3c5c67099f1b10d,eqIda3a2a325fa8c7507ac0b688d8e44b732,则eqIdf52a58fbaf4fea03567e88a9f0f6e37e的长为______.page number 2

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