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江西省奉新县第一中学2020-2021学年高二上学期第二次月考数学(文)试题
江西 高二 月考 2020-11-21 51次

一、单选题添加题型下试题

2. 已知直线eqId06892e453c34498288106008c3b98f68,直线eqId5a4444643822461499a04071f2b2e8c8,若eqIdc5d0c22ca03d463ebd0061a7deb5b49d,则实数eqId70a27b6ddf6b478285353abb3b1f3741的值为(   )
A.eqIdae12237b232242ccbe5a8884dece1b40B.-4C.4D.eqId3887b63e01b84a3680f6b9f22c714e63
同步
4. 已知水平放置的△ABC是按“斜二测画法”得到如图所示的直观图,其中BO′=CO′=1,AO′=eqIde4d58f42bad9461b93d451da718fc6f4,那么原△ABC的面积是(  )

说明: figure

A.eqIda2a0ce3781fa4c26b624f5966b7dee44B.2eqId317ed84d205b4156847380f7e9f38b08
C.eqIde4d58f42bad9461b93d451da718fc6f4D.eqId361759ee694c44928509da38edf66da0
典型同步
8. 在长方体eqId588284d93dc5489295f8f224f8e30d13中,eqId1a59f675e3ea4309bfb83ff3b4953b43eqId6736f952eef94c70a9c5dbaa0da8831e与平面eqIddccd92ef73224bd8a9cb93373c00cb54所成的角为eqId5ad58f952a4542f689f5ee8aa9946f25,则该长方体的体积为(    )
A.eqId401586f7a7f248b7904a4cfeaa2ed2f0B.eqIdf35f1e45d1d840c2ae8371573f781126C.eqId7634cee5da2e46908b3bfbffa6a111c0D.eqIdaba042ed0e954a03b435e391ca6a552e
更新:2018/06/09组卷:13352引用[19]
典型
11. 若关于x的不等式eqIdbe33b7fa81d54f1c977a9b7b87436107的解集中恰有4个正整数,则实数m的取值范围为(   )
A.eqId6e499550c0624f058f183fd15a8cfeb6B.eqId999081dae65245ca9775d68259d48e1aC.eqIdfec4ec7902ce462789468d7a936a21e0D.eqId37c9eacc9a0848ac85de20fd04502614
12. 设正方体eqId588284d93dc5489295f8f224f8e30d13的棱长为2,动点eqId93cbffaa5ae045d6ac45d1e979991c3aeqId63db14a5b4334f3ea583c8fb12b0d175在棱eqId31581e8b21734ef88d2a14232de7e7a6上,动点eqIdbedf755e0fdb4d078d6859360706b163eqId75a143b898e14ccdb032561fba9da811分别在棱eqId8a76bbe21fb549e3a9c2038d58c7a3d8eqId34c6b6e427744abfb88dc90b8c7c2111上,若eqId298ed72d15fc4335ba1231e539617d48eqId359b0d2eafa54c2bac03e8c17f98824feqId09e61ecd9e444663b33e4bbc0a81b483eqId53b65d2a2a434fefbba6389b4a67827e则下列结论错误的是(   )
A.eqId2f6b10ca868f4a3ca8868c57294b8708eqIdc6c6dd3922e04d9d82a1a4ac9f446376
B.二面角eqId6fcbb36d1e12464c8f1c15051cb049f6所成的角最大值为eqIdb47bf79338b1478a89eac53d16970cdf
C.三棱锥eqId05430c6dd471425e91d82b535ccff985的体积与xz的变化无关,与eqId072d7d6b911b42bc89207e72515ebf5f的变化有关
D.异面直线eqIdea26f946fffc460da90fc407790e93abeqIdce3304c847ca47f486f045a4fbfc0ecd所成的角大小与变化无关

二、填空题添加题型下试题

14. 一只虫子从点eqIda7712af1591c44928b1d8feb0d1aed41出发,先爬行到直线eqIdc8661edc5ed04d9d90ec4a22aaa8fa19上的eqIdbedf755e0fdb4d078d6859360706b163点,再从eqIdbedf755e0fdb4d078d6859360706b163点出发爬行到点eqIdca2d4f9406b948439457e35e294caa29,则虫子爬行的最短路程是__________.
16. 如图所示,在正方体eqId588284d93dc5489295f8f224f8e30d13中,eqId1f64331cf3034c38a68946ea0fe1ef14分别是棱eqId99a3187c2b8f4bcc9703c74c3b72f1f3eqId8f39d706a505485987ccbb3f6177d72d的中点,eqId2f9d5365e3a44c38ae319db4bf5789c5的顶点P在棱eqId8f39d706a505485987ccbb3f6177d72d与棱eqId3549028b0a264a919e61d7f350198187上运动,有以下四个命题:
说明: figure
(1)平面eqIde04f65c1ebe04e198176bf548734fe3c
(2)平面eqId0a7f76ced00844b18724789e12ef87ef⊥平面eqIddf1b0e181a014ff7b4cc44b366659b1c
(3)eqId2f9d5365e3a44c38ae319db4bf5789c5在底面eqId5ce7a06ae7a34393b92b5277978ac014上的射影图形的面积为定值;
(4)eqId2f9d5365e3a44c38ae319db4bf5789c5在侧面eqId1bfb896d89184295a6751207b0783f66上的射影图形是三角形.
其中正确命题的序号是______.

三、解答题添加题型下试题

17. 某几何体的三视图如下,其中俯视图的内外均为正方形,边长分别为eqIdc052ddfbd4524f67a79e0e77c2e5656aeqIdddd35c5d043e4ebeac32a99367053c68,几何体的高为eqId8898c1dc81824f3098bbeae74e8f11fd,求此几何体的表面积和体积.说明: figure
18. 已知直线eqId417e80f1349244878d01fe90e0891f5f经过点eqIdb42f2487ed8c4f7e9017a27306beaa32
(1)求与原点距离等于eqIdc052ddfbd4524f67a79e0e77c2e5656a的直线eqId417e80f1349244878d01fe90e0891f5f的方程;
(2)求在两坐标轴上截距相等的直线eqId417e80f1349244878d01fe90e0891f5f的方程.
19. 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a满足eqId16752fd09c2a448c8b169621ef37c4d5数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63的前n项和为eqIddb5481de79c946c0a760143297d5eade,且eqId30891bed2328423eabaf6519b75350f9.
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3aeqIdeeb4ca98872f4e6d91cea28f43fc0b63的通项公式;
(2)设eqId816e3bc6a7914e19a94ded170b87b62d,求数列eqId74ef5fe5183946caaee41d8974816a20的前n项和eqId92ed363a54bd4a8a93df9463bb3af1f5
22. 如图,已知三棱柱eqId9881c5faa5cb449bb37fa59b41c76e43的底面是正三角形,侧面eqIddccd92ef73224bd8a9cb93373c00cb54是矩形,eqIde244da797435401daa55e2430cbfe559分别为eqIdd23bff0946d44c74984aed4a9aae7449的中点,eqIdbedf755e0fdb4d078d6859360706b163eqIdccb2940410f343d2a798a82e0fee4bbd上一点.过eqIdbd70ef61616a454bae30f5691884094beqIdbedf755e0fdb4d078d6859360706b163的平面交eqId99a3187c2b8f4bcc9703c74c3b72f1f3eqId93cbffaa5ae045d6ac45d1e979991c3a,交eqIdcf2da96900c948a1b3ce7cbfd420c080eqId63db14a5b4334f3ea583c8fb12b0d175
说明: figure
(1)证明:eqIdea82c30b37894b1bb742dee61200db07//eqId996e2048847f41d5a5fe0e2282909254,且平面eqId47f30223a2d14013a1116a4a5e9247d4平面eqId42bf03088cee47929296f8f6a3b51369
(2)设eqId2efda802d5534f6d92d9f8af7aaec28beqId8d2cf13521dd4f09b3ce68d6af7c5336的中心,若eqIda31497b8c6f24b9d9246b2fac13f0591eqId5d10544ec73c43e681a785968815d588//平面eqId42bf03088cee47929296f8f6a3b51369,且eqId87c5200e7d4e40c382a1c29f1447af4e,求四棱锥eqId571e2038d0ff47c9b511342ac4fbe2ba的体积.
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