最新高考考前复习资料—高中数学立体几何部分错题精选+-+副本优秀名师资料.doc
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1、2006年高考考前复习资料高中数学立体几何部分错题精选 - 副本2006年高考考前复习资料高中数学立体几何部分错题精选 一、选择题, 1(石庄中学)设ABCD是空间四边形,E,F分别是AB,CD的中点,则满足EF,AD,BC( ) A 共线 B 共面 C 不共面 D 可作为空间基向量 正确答案:B 错因:学生把向量看为直线。 2(石庄中学)在正方体ABCD-ABCD,O是底面ABCD的中心,M、N分别是棱DD、DC1111111的中点,则直线OM( ) A 是AC和MN的公垂线 B 垂直于AC但不垂直于MN C 垂直于MN,但不垂直于AC D 与AC、MN都不垂直 正确答案:A 错因:学生观察
2、能力较差,找不出三垂线定理中的射影。 3(石庄中学)已知平面?平面,直线L平面,点P直线L,平面、间的距离为8,,则在内到点P的距离为10,且到L的距离为9的点的轨迹是( ) ,A 一个圆 B 四个点 C 两条直线 D 两个点 正确答案:B 错因:学生对点线距离、线线距离、面面距离的关系不能灵活掌握。 4(石庄中学)正方体ABCD-ABCD中,点P在侧面BCCB及其边界上运动,并且总保持111111AP?BD,则动点P的轨迹( ) 1A 线段BC B BB的中点与CC中点连成的线段 111C 线段BC D CB中点与BC中点连成的线段 111正确答案:A 错因:学生观察能力较差,对三垂线定理逆
3、定理不能灵活应用。 5( (石庄中学)下列命题中: ? 若向量、与空间任意向量不能构成基底,则? 。 abab? 若?, ?,则? . abbcca111? 若 、 、是空间一个基底,且 =, , ,则A、B、OAOAOBOCODOBOC333C、D四点共面。 ? 若向量 + , + , + 是空间一个基底,则 、 、 也是空间的一个基abbccaabc底。其中正确的命题有( )个。 A 1 B 2 C 3 D 4 正确答案:C 错因:学生对空间向量的基本概念理解不够深刻。 6(磨中)给出下列命题:?分别和两条异面直线AB、CD同时相交的两条直线AC、BD一定是异面直线?同时与两条异面直线垂直
4、的两直线不一定平行?斜线b在面内的射影为c,直线a?c,则a?b?有三个角为直角的四边形是矩形,其中真命题是( ) 正确答案:? 错误原因:空间观念不明确,三垂线定理概念不清 7(磨中)已知一个正四面体和一个正八面体的棱长相等,把它们拼接起来,使一个表面重合,所得多面体的面数有( ) A、7 B、8 C、9 D、10 正确答案:A 错误原因:4+82=10 8(磨中)下列正方体或正四面体中,P、Q、R、S分别是所在棱的中点,这四个点不共面的一个图是( ) S Q R ? P ? P ? ? R ? ? Q R P Q ? ? ?S ? ? ? ? Q P ? S ? ? R S appeara
5、nce of the weld appearance quality technical requirements of the project must not have a molten metal stream does not melt the base metal to weld, weld seam and heat-affected zone surface must not have cracks, pores, defects such as crater and ash, surface smoothing, weld and base metal should be ev
6、enly smooth transition. Width 2-3 mm from the edge of weld Groove. Surface reinforcement should be less than or equal to 1 + 0.2 times the slope edge width, and should not be greater than 4 mm. Depth of undercut should be less than or equal to 0.5 mm, total length of the welds on both sides undercut
7、 not exceed 10% of the weld length, and long continuous should not be greater than 100 mm. Wrong side should be less than or at 0.2T, and should not be greater than 2 mm (wall thickness mm t) incomplete or not allow 7.5 7.5.1 installation quality process standards of the electrical enclosure Cabinet
8、 surface is clean, neat, no significant phenomenon of convex, close to nature, close the door. 7.5.2 Cabinet Cabinet face paints no paint, returned to rusted, consistent color. 7.5.3 uniform indirect gap from top to bottom, slot width 1.5mm 7.5.4 adjacent Cabinet surface roughness is 0. 7.5.5 the ca
9、binets firmly fixed, crafts beautiful. 7.5.6 Cabinet surface gauge, switch cabinet mark clear, neat, firm paste. 7.5.7 Terminal row of neat, is reliable, the appearance is clean and not damaged. 7.5.8 cables neat and clean, solid binding, binding process in appearance. 7.5.9 the first cable producti
10、on firm, crafts beautiful, clear signage does not fade. 7.5.10 fireproof plugging tight, no cracks and pores. 7.6 7.6.1 of the standard electrical wiring quality technology cable a, the multi-core wire bunch arrangement should be parallel to each other, horizontal wire harness or wire should be perp
11、endicular to the longitudinal multi-core wire bunch. The distance between the wire harness and wire harness symmetry, and as close as possible. B-core wiring harness into round, multi-core wire bunch used g wire binding, fastening D C B A 正确答案:D 错误原因:空间观点不强 9(磨中)a和b为异面直线,则过a与b垂直的平面( ) A、有且只有一个 B、一个面
12、或无数个 C、可能不存在 D、可能有无数个 正确答案:C 错误原因:过a与b垂直的夹平面条件不清 10(一中)给出下列四个命题: (1)各侧面在都是正方形的棱柱一定是正棱柱. (2)若一个简单多面体的各顶点都有3条棱,则其顶点数V、面数F满足的关系式为2F,V=4. (3)若直线l?平面,l?平面,则?. (4)命题“异面直线a、b不垂直,则过a的任一平面与b都不垂直”的否定. 其中,正确的命题是 ( ) A(2)(3) B(1)(4) C(1)(2)(3) D(2)(3)(4) 正确答案:A 11(一中)如图,?ABC是简易遮阳棚,A,B是南北方向上两个定点,正东方向射出的太阳光线与地面成4
13、0?角,为了使遮阴影面ABD面积最大,遮阳棚ABC与地面所成的角应为( ) A(75? B(60? C(50? D(45? 正确答案:C 12(蒲中)一直线与直二面角的两个面所成的角分别为,则+满足( ) 000+90 D、+0?90 答案:B 点评:易误选A,错因:忽视直线与二面角棱垂直的情况。 013(蒲中)在正方体AC中,过它的任意两条棱作平面,则能作得与AB成30角的平面的个数为11( ) A、2个 B、4个 C、6个 D、8个 答案:B 点评:易瞎猜,6个面不合,6个对角面中有4个面适合条件。 14(蒲中)?ABC的BC边上的高线为AD,BD=a,CD=b,将?ABC沿AD折成大小为
14、的二面a角B-AD-C,若,则三棱锥A-BCD的侧面三角形ABC是( ) ,cos,bA、锐角三角形 B、钝角三角形 C、直角三角形 D、形状与a、b的值有关的三角形 答案:C 点评:将平面图形折成空间图形后线面位置关系理不清,易瞎猜。 15(江安中学)设a,b,c表示三条直线,,表示两个平面,则下列命题中逆命题不成立的是( )。 c,A. ,若c,,则,/, b,c/,b/cB. ,若,则 c,b,b,C. ,若,则 b,cb,c,b,D. ,是在,内的射影,若,则 appearance of the weld appearance quality technical requirement
15、s of the project must not have a molten metal stream does not melt the base metal to weld, weld seam and heat-affected zone surface must not have cracks, pores, defects such as crater and ash, surface smoothing, weld and base metal should be evenly smooth transition. Width 2-3 mm from the edge of we
16、ld Groove. Surface reinforcement should be less than or equal to 1 + 0.2 times the slope edge width, and should not be greater than 4 mm. Depth of undercut should be less than or equal to 0.5 mm, total length of the welds on both sides undercut not exceed 10% of the weld length, and long continuous
17、should not be greater than 100 mm. Wrong side should be less than or at 0.2T, and should not be greater than 2 mm (wall thickness mm t) incomplete or not allow 7.5 7.5.1 installation quality process standards of the electrical enclosure Cabinet surface is clean, neat, no significant phenomenon of co
18、nvex, close to nature, close the door. 7.5.2 Cabinet Cabinet face paints no paint, returned to rusted, consistent color. 7.5.3 uniform indirect gap from top to bottom, slot width 1.5mm 7.5.4 adjacent Cabinet surface roughness is 0. 7.5.5 the cabinets firmly fixed, crafts beautiful. 7.5.6 Cabinet sur
19、face gauge, switch cabinet mark clear, neat, firm paste. 7.5.7 Terminal row of neat, is reliable, the appearance is clean and not damaged. 7.5.8 cables neat and clean, solid binding, binding process in appearance. 7.5.9 the first cable production firm, crafts beautiful, clear signage does not fade.
20、7.5.10 fireproof plugging tight, no cracks and pores. 7.6 7.6.1 of the standard electrical wiring quality technology cable a, the multi-core wire bunch arrangement should be parallel to each other, horizontal wire harness or wire should be perpendicular to the longitudinal multi-core wire bunch. The
21、 distance between the wire harness and wire harness symmetry, and as close as possible. B-core wiring harness into round, multi-core wire bunch used g wire binding, fastening 优秀文档,精彩无限 正解:C b,aC的逆命题是,若,则显然不成立。 b,误解:选B。源于对C是在内的射影理不清。 ,16(江安中学)和是两个不重合的平面,在下列条件中可判定平面和平行的是,( )。 A. 和都垂直于平面 ,B. 内不共线的三点到的距
22、离相等 ,C. 是平面内的直线且 ,l/,m/,l,mD. 是两条异面直线且 l,ml/,m/,m/,l/,正解:D 对于可平行也可相交;对于B三个点可在平面同侧或异侧;对于在平面A,C,l,m内可平行,可相交。 ,对于D正确证明如下:过直线分别作平面与平面相交,设交线分别为与l,ml,m,11,由已知得,从而,则,同理,l,ml/l,l/ll/ll/,m/,l/,l/,22121211。 ?,/,误解:B 往往只考虑距离相等,不考虑两侧。 17(江安中学)一个盛满水的三棱锥容器,不久发现三条侧棱上各有一个小洞D、E、F,且知SD:DA=SE:EB=CF:FS=2:1,若仍用这个容器盛水,则最
23、多可盛原来水的( ) 23A. 2919B. 2730C. 3123D. 27正解:D。 当平面EFD处于水平位置时,容器盛水最多 11S,h,SD,SE,sin,DSE,h,SDE11V33F,SDE?, 11VC,SABS,h,SA,SB,sin,ASB,h,SAB2233h2214SDSE1, 33327SASBh2423,最多可盛原来水得1, 2727误解:A、B、C。由过D或E作面ABC得平行面,所截体计算而得。 18(江安中学)球的半径是R,距球心4R处有一光源,光源能照到的地方用平面去截取,则截面的最大面积是( )。 2,RA. appearance of the weld ap
24、pearance quality technical requirements of the project must not have a molten metal stream does not me优质文档,精彩无限 lt the base metal to weld, weld seam and heat-affected zone surface must not have cracks, pores, defects such as crater and ash, surface smoothing, weld and base metal should be evenly smo
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