2014届高考数学9.7-棱柱与棱锥(A、B)-课时闯关

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1、carried out practice line pioneer standard, and post spurs members concentrated service months, activities, education guide members always everywhere bearing in mind identity, based job post, active play role. To develop differentiated learning education guide party members in accordance with their

2、own situation, target the problems to, based on the work done. Pay attention to the room and room for grass-roots party organizations, grass-roots party organizations have more autonomy in education, making education more ground, full of vitality, good effect. Finally, highlight the normal long-term

3、. To highlight the characteristics of recurrent education, with long flowing, continuous line of perseverance the perseverance to promote educational efforts to realize the partys ideological and political construction of routine institutionalization. With the party branch as the base unit. Play the

4、 role of party branches should be, is the key to educational success. Each branch must take strict education and management responsibility of party members, education based on learning to make specific arrangements, fully mobilize the enthusiasm of party members involved in the education, ensure the

5、 Organization in place, measures in place, put in place. To the party organization as the basic form. In the standardized development of learning, make learning more effective efforts, and will adhere to the good party group, organized party, party members and the General Assembly, tell a good party

6、 lectures, can drive a good topic about, prevent showy without substance, Sham mules. To implement the education management system for basic support. Democratic mutual evaluation on party members in accordance with the regulations, the real performance criteria and order established, sound carefully

7、 dispose of unqualified party members, to further improve the dredge export team, pure self cleaning mechanism. Party leading cadres should adhere to and implement the central group learning system, to which branch of learning exchanges, participation in a dual organization with comrades. Focus on r

8、ecurrent education, you also need to continue to strengthen the building of grass-roots party organizations. Now, the city also has 88 village party organizations are weak and lax, first Secretary of the village, but conversion requires a process. Recently, the citys party organization focused inves

9、tigation, check out a total of lost members 4,507, Pocket members 1037, find there are 640 lost party members are not contacted 148 Pocket party members and implementation of organizational relationships. Educational management of party members into the Organization, there is a lot of work to do. We

10、ak and lax party continued reorganization as an important task, finish perfect organization, with a good team, Good system. Special highlights of grass-roots party organizations, to be dealt with first in place, further education, reorganization, transformation and educational interaction. In short,

11、 through solid and effective work initiatives.一、选择题1(2011高考广东卷)正五棱柱中,不同在任何侧面且不同在任何底面的两顶点的连线称为它的对角线,那么一个正五棱柱对角线的条数共有()A20B15C12 D10解析:选D.正五棱柱任意不相邻的两条侧棱可确定一个平面,每个平面可得到正五棱柱的两条对角线,五个平面共可得到10条对角线,故选D.2已知正三棱柱ABCA1B1C1的底面边长为2 cm,侧棱A1A4 cm,过BC作一截面,截面与底面ABC成60角,则截面面积为()A3 cm2 B2 cm2C. cm2 D. cm2解析:选B.易判断截面为一

12、个三角形,由cos60,S截2SABC2.3(2012高考重庆卷)设四面体的六条棱的长分别为1,1,1,1,和a,且长为a的棱与长为的棱异面,则a的取值范围是()A(0,) B(0,)C(1,) D(1,)解析:选A.根据已知条件画出图形,如图所示AB,CDa,设点E为AB的中点,则EDAB,ECAB,则ED,同理EC.由构成三角形的条件知0aEDEC,0a.4(2013保定模拟)如图,正三棱锥ABCD中,点E在棱AB上,点F在棱CD上,且,若异面直线EF与AC所成的角为,则异面直线EF与BD所成的角为()A. B.C. D无法确定解析:选A.过点E作EGAC交BC于点G,连结GF,据已知由可

13、得:FGBD,故GEF即为两异面直线EF与AC所成的角,EFG为异面直线EF与BD所成的角,由正三棱锥性质可知ACBD,即EGGF,故EFG.5(2013成都模拟)如图,在棱长为1的正方体ABCDA1B1C1D1中,点P在线段AD1上运动给出以下四个命题:异面直线C1P与CB1所成的角为定值;二面角PBC1D的大小为定值;三棱锥DBPC1的体积为定值;异面直线A1P与B1C间的距离为定值其中真命题的个数为()A1 B2C3 D4解析:选D.B1C平面AD1C1B,C1P平面AD1C1,B1C与C1P所成的角为90,为定值故正确平面PC1B在平面ABC1D1内,当点P动的过程中,平面ABC1D1

14、不变,因而与BC1D所成的角为定值故正确D1ABC1,BC1平面BDC1且D1A平面BDC1,D1A平面BDC1,即D1A上的动点P到平面BDC1的距离与直线D1A到平面BDC1的距离相等又S为定值,故V为定值,即三棱锥DBPC1体积为定值,故正确A1B1A1P,A1B1B1C,A1B1为A1P与B1C的公垂线,为定值,故正确二、填空题6(2013桂林模拟)正四棱锥底面边长为10,侧面积为200,则这个四棱锥的侧面与底面所成二面角的大小是_解析:由已知得BC10,SM10且SMO即为所求,在RtSMO中,OMBC5,cosSMO,故SMO.答案:7(2012高考上海卷)如图,AD与BC是四面体

15、ABCD中互相垂直的棱,BC2.若AD2c,且ABBDACCD2a,其中a、c为常数,则四面体ABCD的体积的最大值是_解析:ABBDACCD2a2cAD,B、C都在以AD的中点O为中心,以A、D为焦点的两个椭圆上,B、C两点在椭圆两短轴端点时,到AD距离最大,均为,此时BOC为等腰三角形,且ADOC,ADOB,AD平面OBC.取BC的中点E,显然OEBC,OEmax,SBOC(max)2.VDABCVDOBCVAOBCODSOBCOASOBC(ODOA)SOBC2cc.答案:c8如图,四棱柱ABCDA1B1C1D1的底面ABCD为正方形,侧棱与底面边长均为2a,且A1ADA1AB60,则侧棱AA1与截面B1D1DB的距离是_解析:AA1在底面上的射影为AO,cos 60cosA1AOcos 45,A1AO45,过A点作平面BDD1B1的垂线交O1O的延长线于H点,在RtAHO中,AOa,HAO4

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