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吉林省长春市汽车经济技术开发区第六中学2020-2021学年第一学期高二月考数学(文)试题
吉林 高二 月考 2020-11-21 30次

一、单选题添加题型下试题

2. 如图是一几何体的直观图、正视图和俯视图.在正视图右侧,按照画三视图的要求画出的该几何体的侧视图是(   )
说明: figure
A.说明: figureB.说明: figure
C.说明: figureD.说明: figure
同步
3. 垂直于同一条直线的两条直线的位置关系是(   )
A.平行B.相交C.异面D.ABC均有可能
更新:2020/03/21组卷:289引用[27]
4. 下列说法中正确的是(   )
A.棱柱的侧面可以是三角形B.正方体和长方体都是特殊的四棱柱
C.所有的几何体的表面都能展成平面图形D.棱柱的各条棱都相等
5. 已知eqId79df476224874da48567d2482d95e8aa是两条不同直线,eqId6e2423cacf0a436582967cf8ac7776a5是三个不同平面,下列命题中正确的是(   )
A.若eqId94a6d941ad0f4c4ca9688fbf016f9ecfeqId99480be5713447808157d05662efd647B.若eqId9d0a6acfcda84bae9e2ff3d2757992a1eqIdd80209f32d0945f7a14a286b64d35d96
C.若eqIdfaee89b7c17d4c76bf1dc8605ec2c806eqIdd80209f32d0945f7a14a286b64d35d96D.若eqIddd5ac0fac9184175b00e415b7a3ac75aeqId99480be5713447808157d05662efd647
8. 长方体一个顶点上三条棱的长分别是eqId8898c1dc81824f3098bbeae74e8f11fdeqIdddd35c5d043e4ebeac32a99367053c68eqId8f65c930571d4ff6aa6a50029d46826e,且它的顶点都在同一球面上,则这个球的表面积是(   ).
A.eqId7f785880e8b84120b1f6db2e329630e9B.eqId2202e216fee544f08e6a66bb50d615eaC.eqId768f5786d4104f048c958ab0bab87addD.eqId43a0f2ec8c1c443ab16b5340c28080b0
9. 如图,长方体eqId588284d93dc5489295f8f224f8e30d13中,eqIde2058f344e064a9da41111ef6b7e978deqIdded28dbc6ca54681ab966fe6545c6cdceqId93cbffaa5ae045d6ac45d1e979991c3aeqId63db14a5b4334f3ea583c8fb12b0d175eqId92869ac114124367b45f631d030ed6bd分别是eqIde4682078ddd9488281e376503edb4f95eqId99a3187c2b8f4bcc9703c74c3b72f1f3eqId8f39d706a505485987ccbb3f6177d72d的中点,则异面直线eqId3dd88fd134c1472886302db0246dfc44eqIda7755b3c680c40dbbab00293ee093ee1所成角的余弦值是(   )
说明: figure
A.0B.eqId67cbac5d90cc4e0b9f185919908346f6C.eqId5f816d038c584dc7a249120298677ef3D.eqId36bd695844fa490ea1dcfdce3cbf685c
12. 如图,在三棱柱ABC­A1B1C1中,侧棱AA1⊥底面A1B1C1,底面三角形A1B1C1是正三角形,EBC的中点,则下列叙述正确的是(   )
说明: figure
A.CC1B1E是异面直线
B.AC⊥平面ABB1A1
C.AEB1C1为异面直线,且AEB1C1
D.A1C1eqId4e361972e3c64a1ca64e9911729bccbf平面AB1E

二、填空题添加题型下试题

14. 如图,长方体eqId588284d93dc5489295f8f224f8e30d13中,eqId98bab9807981479d8ffd6a372924a430eqIdbdf4b3eb18644363ad9ca799c49feb9deqId11628ca61337496e80dac29004ea949c.点eqId93cbffaa5ae045d6ac45d1e979991c3aeqId63db14a5b4334f3ea583c8fb12b0d175分别在eqId31581e8b21734ef88d2a14232de7e7a6eqIdc0cc73b9034f46ddbeeb31c6bf2c9e92上,过点eqId93cbffaa5ae045d6ac45d1e979991c3aeqId63db14a5b4334f3ea583c8fb12b0d175的平面eqIdc13953f2514e4c8f9c8aaaf5241c33ac与此长方体的面相交,交线围成一个正方形eqIde275f19855c14957bc9a8147322beebe.则eqId3dd88fd134c1472886302db0246dfc44eqIdedfeb39276d24e07b2d2f4e1c8979b5a的大小关系是______.说明: figure
典型
15. 如图正方形eqId5ce7a06ae7a34393b92b5277978ac014边长为2.则它的水平放置的直观图(用斜二测画法) 的图形面积为______.说明: figure

三、解答题添加题型下试题

21. 如图,四棱锥eqIdac097205e9cb41279269aadcac3fb6f1中,底面eqId5ce7a06ae7a34393b92b5277978ac014为梯形,eqIdf632aee8fd26481695477bbb69ee780b,点eqId93cbffaa5ae045d6ac45d1e979991c3aeqIdc32e6ca0b0dd422d9331c3034c0b82e3的中点,且eqId6ecdacd0820749109906927ae732a482,点eqId63db14a5b4334f3ea583c8fb12b0d175eqId34c6b6e427744abfb88dc90b8c7c2111上,且eqIdb77b185395f842e6b5ed014ef6af3c0c.
说明: figure
(1)求证:eqId1a0830891ff846de8422ea80714ecab4//平面eqId02dc5b9712104a18adc92a366a8c2455 
(2)若平面eqId3084aa1e379e4f168e9c2332df2ca9df平面eqId5ce7a06ae7a34393b92b5277978ac014eqIdc6f9a0d9c5c14646b7dfb12722a36661eqIdce2b6ecd0a314bc7b85ce7affad697c6,求三棱锥eqId2b6b356edfb640c9be3ad40eebcfec42的体积.
22. 如图,直三棱柱eqId9881c5faa5cb449bb37fa59b41c76e43中,底面eqId89fbdcb029be4482b52165366491c70f为等腰直角三角形,eqIdeecb96c84ba340069d573f6c1caefbbbeqId9ae21fff7b074205aad0c107fb214f49eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6分别为eqId5d9ccdf2356a4b82976ddc372faf5578eqIdfe9cbfb067114ce8857e621d77cb5feb的中点,eqId92869ac114124367b45f631d030ed6bd为棱eqIdea82c30b37894b1bb742dee61200db07上一点,且eqIddce418555e3349a0a332bc66a18280c7.
说明: figure
(1)求证eqId7071bc6ec66c467aa07880abd3fd5655
(2)求点eqId346946f1395a41008d3b3b56c9ae4fbd到平面eqId1c62718b58744294bd5b4d5fd0ddf77b的距离.
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