西南大学19秋[1245] 在线作业资料
12451.[单选题]直线3x+2y+3=0的齐次线坐标是( )
奥鹏作业答案可以联系QQ 761296021
A.(2,-3,0)
B.(3,2,3)
C.(-2,3,3)
D.(3,2,0)
2.[单选题]过点(0,0,0)且与向量a=(1,1,1),b=(2,3,4)平行的平面方程是( )
A.E.x-2y+z=0
B.x-2y+z-1=0
C.x+2y+z=0
D.x+2y+z+1=0
3.[单选题]下列名称属于射影几何的是( )
A.共线点
B.平行线段之比
C.梯形
D.单比
4.[单选题]不属于仿射几何几何研究的对象是( )
A.面积之比
B.交比
C.二平行线段之比
D.距离
5.[单选题]点C是线段AB的中点,D为该线段所在直线上的无穷远点，则交比(AB,CD)=( )
A.A. 0
B.-1
C.2
D.1
6.[单选题]3.下列命题叙述正确的是( )
A.单叶双曲面上同族的任意两直母线必相交
B.单叶双曲面上异族的任意两直母线必共面
C.双曲抛物面上异族的任意两直母线必异面
D.双曲抛物面上同族的任意两直母线必相交
7.[单选题]下列命题叙述正确的是（ )
A.两向量的和不能等于零向量
B.零向量与任何向量不垂直
C.零向量与任何向量不共线
D.两向量的差可以等于零向量
8.[单选题]下列命题叙述正确的是( )
A.零向量与任何向量不平行
B.两向量的和不可能等于零向量
C.两向量的差可以等于零向量
D.零向量与任何向量不垂直
9.[单选题]29.下列变换群最大的是
A.射影变换群
B.相似变换群
C.仿射变换群
D.正交变换群
10.[单选题]点(2,1,0)到平面3x+4y+4=0的距离是( )
A.2
B.1
C.3
D.0
11.[单选题]25.不属于仿射几何研究的对象是()
A.平行性
B.长度
C.单比
D.同素性
12.[单选题]下列曲线属于无心二次曲线的是( )
A.椭圆
B.抛物线
C.圆
D.双曲线
13.[单选题]直线<img width="59" height="25" class="kfformula" style="width: 59px; height: 25px;" src="data:image/png;base64,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" data-latex="{x}_{2}=0"/>关于<img width="125" height="26" class="kfformula" style="width: 125px; height: 26px;" src="data:image/png;base64,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" data-latex="{x}^{2}_{1}+{x}^{2}_{2}-{a}^{2}{x}^{2}_{3}=0"/>的极点是( )
A.C.(0,0,1)
B.(0,1,0)
C.(1,1,1)
D.(1,0,0)
14.[单选题]已知向量a=(1,1,0),b=(1,2,1),两向量的外积<img width="45" height="26" class="kfformula" style="width: 45px; height: 26px;" src="data:image/png;base64,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" data-latex="a\times b"/>=( )
A.(-1,1,1)
B.(1,-1,-1)
C.(1,-1,1)
D.(1,1,1)
15.[单选题]方程xy=0表示的曲面是( )
A.D.抛物柱面
B.xoy和xoz两坐标面
C.双曲面
D.xoy和xoz两坐标面的平分面
16.[单选题]
已知共点四直线a,b,c,d的交比(ab,cd)=4,则（db,ca）=( )
A.3
B.-2
C.2
D.-3
17.[单选题]向量a,b,c顺次首尾相接构成一个三角形，那么a+b+c=( )
A.F.a
B.b
C.c
D.0
18.[单选题]关于两向量的外积叙述正确的是( )
A.两向量的外积是向量
B.两向量的外积与这两个向量都不垂直
C.两向量的外积是一个数
D.两向量的外积不能等于0
19.[单选题]下列二次曲面属于直纹面的是( )
A.椭圆抛物面
B.椭球面
C.双叶双曲面
D.双曲抛物面
20.[单选题]下列关于二次曲线奇异点的性质表述正确的是（ ）
A.B.退化的二次曲线只有两个奇异点
B.非退化的二次曲线无奇异点
C.退化的二次曲线不可能只有一个奇异点
D.退化的二次曲线只有一个奇异点
21.[判断题]两向量平行，可推出两直线平行
A.正确
B.错误
22.[判断题]二次曲线的直径是通过中心的有穷远直线
A.正确
B.错误
23.[判断题]配极对应不保交比
A.正确
B.错误
24.[判断题]完全四点形和完全四线形是一对互为对偶图形
A.正确
B.错误
25.[判断题]旋转曲面的母线是唯一的
A.正确
B.错误
26.[判断题]射影直线上可以说存在一线段
A.正确
B.错误
27.[判断题]无穷远直线是射影不变图形
A.正确
B.错误
28.[判断题]柱面和锥面的准线是唯一的
A.正确
B.错误
29.[判断题]两平面间的中心射影是两平面间的透视对应。
A.正确
B.错误
30.[判断题]透视仿射对应可以看成特殊的中心射影
A.正确
B.错误
31.[判断题]任何一个三元一次方程总是表示空间一平面
A.正确
B.错误
32.[判断题]二维射影变换和一维射影变换有许多共同的性质
A.正确
B.错误
33.[判断题]射影平面上的点有齐次坐标方程
A.正确
B.错误
34.[判断题]两向量总是共面
A.正确
B.错误
35.[判断题]三个非零向量之和不可能是零向量
A.正确
B.错误
36.[判断题]二次曲线的一直径两端点的切线平行该直径的共轭直径
A.正确
B.错误
37.[判断题]任何一个三元一次方程表示空间一个平面
A.正确
B.错误
38.[判断题]三个向量a,b,c，那么<img width="53" height="22" class="kfformula" style="width: 53px; height: 22px;" src="data:image/png;base64,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" data-latex="(a\cdot b)c"/>是有意义的
A.正确
B.错误
39.[判断题]无穷远直线是仿射变换的不变图形
A.正确
B.错误
40.[判断题]射影平面上任何一条直线总与无穷远直线相交
A.正确
B.错误
41.[判断题]两向量的外积的模等于这两向量为邻边构成平行四边形的面积
A.正确
B.错误
42.[主观填空题]两射影点列成透视对应的充要条件是__________
A.
43.[主观填空题]点(1,1,1)到平面x+2y+3z+4=0的距离是_____
A.
44.[主观填空题]19.椭球面<img width="92" height="27" class="kfformula" style="width: 92px; height: 27px;" src="data:image/png;base64,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" data-latex="\frac {{x}^{2}} {9}+\frac {{y}^{2}} {4}+\frac {{z}^{2}} {25}=1"/>所围区域的体积是______
A.
45.[主观填空题]27.非恒等的二维射影变换的不共线的不变点至多_______个
A.
46.[主观填空题]28.渐近线是直径，其共轭直径是 _______
A.
47.[主观填空题]两射影线束成透视对应的充要条件是______
A.
48.[主观填空题]已知向量a=(3,5,7),b=(0,4,3),c=(-1,2,-4),设u=3a+4b-c,v=2b+c,那么<img width="41" height="19" class="kfformula" style="width: 41px; height: 19px;" src="data:image/png;base64,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" data-latex="u\cdot v"/>=______
A.
49.[主观填空题]16.已知向量a=(1,0,-1),b=(2,3,0),c=(0,2,3),则有这3个向量张成的平行六面体的体积是________
A.
50.[主观填空题]已知射影对应使参数为0,1，-3分别对应0,2,6，该射影对应参数表示式________
A.
51.[主观填空题]17.点(2,0,1)到平面3x+4y+5z=1的距离是_____
A.
52.[主观填空题]如果向量a,b,c满足a+b+c=0,那么<img width="58" height="26" class="kfformula" style="width: 58px; height: 26px;" src="data:image/png;base64,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" data-latex="a\times b="/>_____
A.
53.[主观填空题]已知平行四边形ABCD中顶点A,B,C的坐标分别为(1,0,2),(0,3,-1),(2,-1,3)，则对角线交点的坐标是_____
A.
54.[主观填空题]56.设四直线a,b,c,d共点，单比(abc)=2, (abd)=-1, 则交比(ad,cb)=_________,(ac,bd)=___________
A.
55.[问答题]46.求过点(2,-1,3)且与直线<img class="kfformula" src="data:image/png;base64,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" data-latex="\frac {x-1} {-1}=\frac {y} {0}=\frac {z-2} {2}" width="133" height="30" style="width: 133px; height: 30px;"/>垂直相交的直线方程。
A.
56.[问答题]37.求过点A(1,0,2),B(0,1,2),C(0,-1,1)且以<img width="75" height="26" class="kfformula" style="width: 75px; height: 26px;" src="data:image/png;base64,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" data-latex="2{x}_{1}-{x}_{3}=0"/>,<img width="67" height="22" class="kfformula" style="width: 67px; height: 22px;" src="data:image/png;base64,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" data-latex="2{x}_{2}-{x}_{3}=0"/>为切线的二次曲线方程。
A.
57.[问答题]42.已知锥面的顶点是(2,5,4),锥面与yoz坐标面的交线是圆，这个圆的圆心是(0,1,1),半径为2，求这个锥面方程。
A.
58.[问答题]求射影变换<img width="137" height="28" class="kfformula" style="width: 137px; height: 28px;" src="data:image/png;base64,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" data-latex="\rho {x}^{'}_{1}={x}_{1}+2{x}_{2}+2{x}_{3}"/>,<img width="116" height="25" class="kfformula" style="width: 116px; height: 25px;" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPQAAAA1CAYAAAB2m8bvAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAXRSURBVHhe7Zw9y+ZEFIZf3VpE/AerpWIhWOhWghZ2goj/QMRe8AfYWYkobGWnpaWdjZWilaWIiIWNovgDdK4nuWX2MMmTmWTz9d4XHPLxJJOZc+5zZpJ32RtjjDHGGGOMMcYYY4wxxhhjjDHGGGOMMcYYcxTu9Nsz8kWy35P9ejky5hbwaL89G3eTvdrtGmOOzlvJvup2jbk9nHWGfjbZR92uMcYYc0Ae6bdmeZ5L9mYyPsq9nuyvZB8n+yaZ2Y7Xkj2T7PFkzyf7OdmH/daYIiTzJ8mevBx18F7/b7K3L0dmC/B99D9xIi7EzJgifJDLk1lw3uLZBv7ywZ8yI8Tpz94Oz1k/im3JvWQs3/64HD3IZ/2WpfgeoK/fdbuH4r1kH3S7k3kj2Zfd7gMQJxL9iWQsxw+NE3p5Xkz2TjKWcpHf+q3/Rr4+Lyf7PBmvPpFf+u1L/fawbJnQLHUQPZUWY6YYW4pSPXU913I/11NdOTe0zF2bH/vtGKXZG/TuzQz0U3/MmBgj5675aAs0W9JHFTGShn3ZHvi+347xd7+NHEV7m4EzeGfJP1AgjKH3GAlETsOpOJEt70b64IRz9wzjHfowhk8YE+MBxoI/OMfSWD5jzEsxd8lNTDQWYsPYEDnGMb9zbumlbMuSewz6O/Rt4yzae2jgGISJk3IQF47BQTlcHyugAiAxSfy0UQv30H6LxTFcg1kXU9LmMKZcUEp+zgNJkY95CeYkNPfG8RMD+qhx0LaEvyRLJjR9k59zjcHD1t4pUNWOQcYhnI+BIsGjiBFJqY09oxVIKfCMQ4kr8ANjjAUuQvJQJFqYk9DEMS9AiJ7+0l5MjBwlI/eTLC0xXDKh6cNQ0WnVHn7hPoy4Hv5j2xAKOk6MMHh+uxaoqcLZEwS4topfEw5t4Suuo+0W5iR0RCuIsVULiZgXKBW5WpZKaDTH+KcWlanay2d12uaevPidBoLJ4GLVA83c16rZFOHsCQLKDFqTzDVF61pSICQEVjIVg9JvWI2PSTD6PLaiwA/5eDTOUsxpp9QnTK8upd+wkr4iPLMmmWGK9ohz9APHU/p0OJS0pWqFsLBrApZwriX+HmAsCKwmmUHCmTILtc5ysOQMTTv0eSx+9DMmQ4vY587QKnI1yQxTtYdf5QfN0LUaOASqrDHoqmpTgsT9UTg4Lb6DToVn59W9xsaeOZbM18apwheFQ3vRd3tIaIk2tsUsNZasLa8iMCehh5KZ82OrC2jRHrGcU3x2y1DQAQdzPjoZx3EeR0LeRu5UAhzFT3BwJMb1taKZC4EsPRPhxAArgTV+CSf3B22VhLFFQisRNdvia/qrY4HQY0xz+L2lELcmNJoZ6hOFJ9fQHO0BPqJNnsf+6VDQY0VGBDit5GSuk1AUjCh+nKnfBffl4lI7azmWZ1OkCHY0xhBnLQmFMfGbxqgZg/OlWQVoc+2E5pn0j75K+IxL4gcSLo4zh7GVVhxT4Pm1Ca1+4lvFIjd+y/XRqr0IbXIP7Z0KOQMnSOw4iW1JqILAyZkSCOdogy33R4dybayaBKxWBC3QR8Y5ZrFvEjf9wxgP59RnbMhHjH/thKZ/6i+xoR2dw/eYilEJrufasUQYgzHz7BroZykWucX+aHw12iuBj1v8vGuo3givNYg1EIR8tgCCwPmzsUVCz4EZizhIBxSq2pVTS0KvxZD2WmNUxVr/lpugPZXs22RD/455SZgdnu52/+eFZF93u6bnn2RrJjRJ/H6yd5NJB68ke6zbnQz/acRe/zfXH5Ld73YvMGa09+nl6CSQYCxpqKxbwHKJqrnG6mAtKJL4k+ov38al/N6geORLXNla3zbWgtWDluTM2OyfSXuXdxACt8WHAcSCkM4mGmM2gyo15yNIKzzPyWzMCSCZKSR5Mu99SWqMGYBlfp7M7G/1Dm+MmQEfIeKHF2zsHzoYY4wxxhhjjDHGGGOMMcYYY4wxxhhjjDHGGGOMMcYYY24vNzf/AamXwFhO3Y7QAAAAAElFTkSuQmCC" data-latex="\rho {x}^{'}_{2}=2{x}_{1}+{x}_{2}+2{x}_{3}"/>,<img width="145" height="24" class="kfformula" style="width: 145px; height: 24px;" src="data:image/png;base64,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" data-latex="\rho {x}^{'}_{3}=2{x}_{1}+2{x}_{2}+{x}_{3}"/>的不变元素
A.
59.[问答题]已知圆锥面的顶点是原点,对称轴的方程是<img width="91" height="25" class="kfformula" style="width: 91px; height: 25px;" src="data:image/png;base64,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" data-latex="\frac {x} {l}=\frac {y} {m}=\frac {z} {n}"/>,轴线与母线的夹角为<img width="25" height="21" class="kfformula" style="width: 25px; height: 21px;" src="data:image/png;base64,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" data-latex="\theta "/>，求证:<img width="222" height="30" class="kfformula" style="width: 222px; height: 30px;" src="data:image/png;base64,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" data-latex="{\cos {\theta }}^{2}=\frac {{(lx+my+nz)}^{2}} {({x}^{2}+{y}^{2}+{z}^{2})({l}^{2}+{m}^{2}+{n}^{2})}"/>
A.
60.[问答题]设二次曲线<img width="225" height="20" class="kfformula" style="width: 225px; height: 20px;" src="data:image/png;base64,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" data-latex="4{x}^{2}_{1}+16{x}^{2}_{2}+7{x}^{2}_{3}-16{x}_{1}{x}_{2}-2{x}_{1}{x}_{3}+22{x}_{2}{x}_{3}=0"/>与三点P(1,0,1),Q(1,-1,0),R(1,1,-1),证明三点形PQR关于二次曲线是自极三点形。
A.
附件是答案，核对题目下载
页:
[1]