2002 全国ⅱ高考数学试题(理)

第1页共10页3C6288D9DAC8DCA449E748D987D33A4APDF2002年普通高等数学招生全国统一考试（全国）理科数学本试卷分第卷（选择题）和第卷（非选择题）两部分参考公式三角函数的积化和差公式1SINCOSINSI2CSCSCOS1IN2正棱台、圆台的侧面积公式其中、分别表示上、下底12SCL台侧C面周长，表示斜高或母线长球的体积公式，其中表示球的34VR球R半径第卷（选择题共60分）一、选择题本大题共12小题，每小题5分，共60分在每小题给出的四个选项中，只有一项是符合题目要求的1圆的圆心到直线的距离是21XY3YXABC1D232复数的值是312ABCD1II13不等式的解集是1|0XAB|0|0X且CD|X|1且4在内，使成立的的取值范围是,2SINCOXXAB5,4,4第2页共10页3C6288D9DAC8DCA449E748D987D33A4APDFCD5,453,425设集合，则1|,24KMXZ1|,KNXZABCDNMN6点到曲线（其中参数）上的点的最短距离为1,0P2XTYTRA0B1CD227一个圆锥和一个半球有公共底面，如果圆锥的恰好与半球的体积相等，那么，这个圆锥轴截面顶角的余弦值是ABCD344535358正六棱柱的底面边长为1，侧棱长为，则这个棱柱的侧面对11CDEFA2角线与所成的角是11A90B60C45D309函数是单调函数的充要条件是20,YXBCABCD00B0B10函数的图像是1YXABCD11从正方体的6个面中选取3个面，其中有2个面不相邻的选法共有A8种B12种C16种D20种12据2002年3月5日九届人大五次会议政府工作报告“2001年国内生产总值达到95933亿元，比上年增长72”如果“十五”期间（2001年2005年）每年的国内生产总值都按此年增长率增长，那么到“十五”末我国国内年生产总值约为A亿元B亿元C亿元D亿元XYO11XYO11XYO11XYO11第3页共10页3C6288D9DAC8DCA449E748D987D33A4APDF第卷（非选择题共90分）注意事项用钢笔或圆珠笔直接答在答题卡上二、填空题本大题共4小题，每小题4分，共16分，把答案填在题中横线上13函数在的最大值与最小值和为3，则XYA0,1A14椭圆的一个焦点是，那么25K0,2K15的展开式中的系数是7X3X16已知函数，那么21F1111234FFFF三、解答题本大题共6小题，共74分，解答应写出文字说明，证明过程或演算步骤17（本小题满分12分）已知，求，2SINICOS210,2SIN的值TAN18（本小题满分12分）如图，正方形，的ABCDEF边长都是1，而且平面，互相垂直点在M上移动，点在上移动，若ACNBF02MA（1）求的长；（2）当为何值时，的长最小；（3）当长最小时，求面与面所成的二面角MANB的大小19（本小题满分12分）设点到点，的距离之差为，到轴，轴的距P1,0,2MXY离之比为2，求的取值范围MABEFCDMN第4页共10页3C6288D9DAC8DCA449E748D987D33A4APDF20（本小题满分12分）某城市2001年末汽车保有量为30万，预计此后每年报废上一年末汽车保有量的6，并且每年新增汽车数量相同为保护城市环境，要求该城市汽车保有量不超过60万辆，那么每年新增汽车数量不应超过多少辆21（本小题满分12分）设为实数，函数，A2|1FXAXR（1）讨论的奇偶性；FX（2）求的最小值22（本小题满分12分）设数列满足，NA211NNA,23（1）当时，求，并由此猜想出的一个通项公式；12A234（2）当时，证明对所有的，有3；N1212NAA数学试题参考答案一、选择题，本题考查基础知识，基本概念和基本运算能力题号23456789101112答案二、填空题本题考查基础知识,基本概念和基本运算技巧13141516三、解答题第5页共10页3C6288D9DAC8DCA449E748D987D33A4APDF17数学试题（理工农医类）参考解答及评分标准说明一、本解答指出了每题要考查的主要知识和能力，并给出了一种或几种解法供参考，如果考生的解法与本解答不同，可根据试题的主要考查内容比照评分标准制订相应的评分细则二、对计算题，当考生的解答在某一步出现错误时，如果后继部分的解答末改变该题的内容和难度，可视影响的程度决定后继部分的给分，但不得超过该部分正确解答应得分数的一半；如果后继部分的解答有较严重的错误，就不再给分三、解答右端所注分数，表示考生正确做到这一步应得的累加分数四、只给整数分数选择题和填空题不给中间分A卷选择题答案一、选择题本题考查基本知识和基本运算每小题5分，满分60分1A2C3D4C5B6B7C8B9A10B11B12C二、填空题本题考查基本知识和基本运算每小题4分，满分16分1321411510081627三、解答题17本小题主要考查同角三角函数的基本关系式、二倍角公式以及三角函数式的恒等变形等基础知识和基本运算技能满分12分解由倍角公式，2分1COS2S,COSIN2SI由原式得0ICIN4221SOS28分,INI2，,021SIN,1SI2,0CON即612分3TG18本小题主要考查线面关系、二面角和函数极值等基础知识，考查空间想象能力和推理论证能力满分12分解（）作MPAB交BC于点P，NQAB交BE于点Q，连结PQ，依题意可得第6页共10页3C6288D9DAC8DCA449E748D987D33A4APDFMPNQ，且MPNQ，即MNQP是平行四边形，MNPQ3分由已知，CMBNA，CBABBE1，ACBF，21,BQCP即2A2221ABQCPMN6分012AA（）由（），所以，当,2,2MN时即M、N分别移动到AC、BF的中点时，MN的长最小，最小值为9分（）取MN的中点G，连结AG、BG，AMAN，BMBN，G为MN的中点AGMN，BGMN，AGB即为二面角的平面角，又AGBG，所以，由余弦定理有4631462COS2故所求二面角12分ARCOS19本小题主要考查直线、双曲线等基础知识，考查基本运算、逻辑推理能力满分12分解法一设点P的坐标为（X,Y），依题设得2，|XY即2分0,2XY因此，点P（X,Y）、M（1，0）、N（1，0）三点不共线，得,2|P|M第7页共10页3C6288D9DAC8DCA449E748D987D33A4APDF,1|0M因此，点P在以M、N为焦点，实轴长为2|M|的双曲线上，故6分22YX将式代入，并解得，8分2251M解得,05102M5|M即M的取值范围为12分,解法二设点P的坐标为（X,Y），依题设得，即2|XY2分0,2XY由|PM|PN|2M，得4分,1122MYXYX由式可得,422所以，6分0|,1|MYX且由式移项，两边平方整理得122MXYX将式代入，整理得8分512式右端大于0，且,02X052综上，得M满足5|即M的取值范围为12分,20本小题主要考查为数列、数列的极限等基础知识，考查建立数学模型、运用所学知识解决实际问题的能力满分12分解设2001年末汽车保有量为B1万辆，以后各年末汽车保有量依次为B2万辆，B3万辆，每年新增汽车X万辆，则2分940,3121B对于N1，有,940121XBXNN第8页共10页3C6288D9DAC8DCA449E748D987D33A4APDFXBXBNNNNN069419401940116分63当8分3,8,06311BXN时即当,0694060LIMLI1XXXNN时即并且数列BN逐项增加，可以任意靠近10分6因此，如果要求汽车保有量不超过60万辆，即,321NB则（万辆）综上，每年新增汽车不应超过36万辆12分63,06X即21本小题主要考查函数的概念、函数的奇偶性和最小值等基础知识，考查分类讨论的思想和逻辑思维能力满分12分解（）当为偶函数,1|,2XFFXXFA此时函数时2分当,|,1,022AFF时AAF此时函数既不是奇函数，也不是偶函数4分XF（）（I）当4321,2AXAXF函数时若上单调递减，从而，函数上的最小值为,21AXFA在则函数,F在F若，则函数上的最小值为7分,F在21,4321AFF且（II）当时，函数AX2AXAX若,21FFFF且上的最小值为在则函数若1,2AXX上的最小值为在函数从而上单调递增在则函数10分综上，当43,21AFA的最小值是函数时第9页共10页3C6288D9DAC8DCA449E748D987D33A4APDF当1,212AXFA的最小值是函数时当12分43的最小值是函数时22本小题主要考查数列和不等式等知识，考查猜想、归纳、推理以及分析问题和解决问题的能力满分14分解（）由,412,3,1,22211AAAA得由得由由此猜想的一个通项公式4分53,43得NXN（）（I）用数学归纳法证明当，不等式成立6分21,AN假设当时不等式成立，即，那么K2KA,311KK也就是说，当1KN时根据和，对于所有10分2,NA有（II）由（I），对及1ANN1,1KAKK有,12KKK12分21A于是,21KAK14分NKNKNKKAA121111232内部资料仅供参考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