(完整word版)高二数学理科期末试卷(word文档良心出品).pdf

1 高二数学（上）期末考一、选择题：本小题共10 小题，每小题5 分，共 50 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.不等式0322xx的解集是（）A1,3 B 3,1 C 3,1 D 1,32.已知平面的法向量是2,3,1，平面的法向量是4,2，若/，则的值是（）A103 B6C6 D 1033已知,a b c满足cba，且0ac，那么下列选项中一定成立的是()A.abac B.0c ba C.22cbab D.0ac ac4.已知na是由正数组成的等比数列，nS表示na的前n项的和若13a，24144a a，则10S的值是()A511 B1023 C1533 D30695.下列有关命题的说法正确的是()A命题“若21x，则1x”的否命题为：“若21x，则1x”B“1x”是“2560 xx”的必要不充分条件C命题“xR，使得210 xx”的否定是：“xR，均有210 xx”D命题“若xy，则sinsinxy”的逆否命题为真命题6.设21,FF为双曲线1422yx的两个焦点，点P在双曲线上且02190PFF，则21PFF的面积是（）A.1 B.25 C.2 D.57.已知向量)0,1,1(a，)2,0,1(b，且bak与ba2互相垂直，则k的值是（）A.1 B.51 C.53 D.578.若ABC的内角,A B C所对的边,a b c满足22()4abc，且060C，则ab的最小值为()A2 33B4 33C43D 84 39若双曲线22221(0,0)xyabab的右焦点为F，若过 F且倾斜角为60的直线与双曲线的右支有且只有一个交点，则此双曲线离心率e的取值范围是（）A2,1 B 2,1 C,2D,210.若抛物线24yx的焦点是F,准线是l,则经过点F、M（4，4）且与l相切的圆共有（）A.4 个 B.2个 C.1个 D.0个二、填空题:本大题共5 小题，每小题4 分，满分20 分.请把答案填在答题纸的相应位置.2 11等差数列na中，若34512,aaa则71aa=.12.已知1,10,220 xxyxy则zxy的最小值是 .13.已知正方体1111DCBAABCD中，E为11DC的中点，则异面直线AE与BC所成角的余弦值为 .14.点P是抛物线xy42上一动点，则点P到点)1,0(A的距离与P到直线1x的距离和的最小值是 .15设na是公比为q的等比数列，其前n项积为nT，并满足条件011,01,110099100991aaaaa，给出下列结论：（1）10q；（2）1198T；（3）110199aa；（4）使1nT成立的最小自然数n等于199，其中正确的编号为（写出所有正确的编号）三、解答题:本大题共6 小题，共 80 分.解答应写出文字说明,证明过程或演算步骤.16.（本小题满分13 分）已知数列na的前n项和为nS，且na是nS与 2 的等差中项，求12,a a的值；求数列na的通项公式。17（本小题满分13 分）已知0,1aa，命题:p“函数xaxf)(在(0,)上单调递减”，命题:q“关于x的不等式21204xax对一切的xR恒成立”，若pq为假命题，pq为真命题，求实数a的取值范围.18（本小题满分13 分）在 ABC 中，a、b、c 分别是角A、B、C 的对边，且cabbaca，（1）求角 B 的大小；（2）若ABC最大边的边长为7，且ACsin2sin，求最小边长19（本小题满分13 分）运货卡车以每小时x千米的速度匀速行驶130 千米(50 x100)(单位：千米/小时)假设汽油的价格是每升2 元，而汽车每小时耗油(2 x2360)升，司机的工资是每小时14 元(1)求这次行车总费用y关于x的表达式；(2)当x为何值时，这次行车的总费用最低，并求出最低费用的值20（本小题满分14 分）如图，在四棱锥PABCD中，PD底面 ABCD，底面 ABCD是正方形，PD=DC，E、F 分别为 AB、PB的中点。（1）求证：EF CD；（2）求 DB与平面 DEF所成角的正弦值；（3）在平面PAD内求一点G，使 GF平面 PCB，并证明你的结论。21（本小题满分14 分）已知椭圆)0(12222babyax的左、右焦点分别是F1（c，0）、F2（c，0），Q 是椭圆外的动点，满足.2|1aQF点 P 是线段 F1Q 与该椭圆的交点，点T 在线段 F2Q上，并且满足.0|,022TFTFPT（1）设x为点 P 的横坐标，证明xacaPF|1；（2）求点 T 的轨迹 C 的方程；（3）试问：在点 T 的轨迹上，是否存在点M，使 F1MF2的面积 S=.2b若存在，求 F1MF2 的正切值；若不存在，请说明理由.P FD C A E B 文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y83 高二（上）期末联考数学试卷参考答案（理科）一、选择题15、BCADD 6 10、ADBDB 二、填空题11、8 12、313、3214、215、（1）（3）（4）三、解答题16、2nSn解:由已知得 2a-2分由得：122S112aa-4分2224S21222aaaa-6分(2)解：12nSn+12a-得12nnSSn+1nn+1n+1n2a2aaaa-9分数 列na以2 为 首 项，以2 为 公 比 的 等 比 数 列-11分即12 22nnna-13分17、解：p为真：01a；2 分；q为真：0142a，得2121a，又0,1aa，210a 5分因为pq为假命题，pq为真命题，所以,p q命题一真一假 7 分（1）当p真q假1212110aaa 9 分（2）当p假q真2101aa无解 11 分综上，a的取值范围是1(,1)213 分18、解：（）由cabbaca整理得)()(baabcca，即222abcac，-2 分2122cos222acacacbcaB，B0，32B。（）32B,最长边为b，ACsin2sin，ac2，a为最小边，由余弦定理得)21(2247222aaaa，解得12a，1a，即最小边长为1 19、解：(1)行车所用时间为t130 x(h)，y130 x 2(2x2360)14 130 x，x50,100 所以，这次行车总费用y关于x的表达式是y2340 x1318x，x50,100(2)y2340 x1318x2610，当且仅当2340 x1318x，即x1810时，上述不等式中等号成立当x1810时，这次行车的总费用最低，最低费用为2610元20、PD面ABCD,PDDA PDDC，又底面 ABCD 是正方形，DADC(0,0,0)0 00000022 20 0.2 2 2DADCDPxyzADaaa aDA aB aaCaE aFa a aFPa以、所在直线为轴、轴、轴建立空间直角坐标系，设，则、（，）、（，）、（，）、（，）、（，）（，）、（，）P FD C A E B 文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y84 10000.22aaEFDCaEFDC（）（，）（，），(,).(,)(,)0,()0.02 2 220(,)(,0)0,0.2231,2,1,(1,2,1).cos,626DEFnx y za a aax y zxyzn DFaan DEx y zaaxyBD naxyznBD naBD nDBDEF（2）设平面的法向量为由，得取则与平面所成角的正弦3.6值为20.,222,(,0,0)()0,;22222,(0,)()0,0.222220 0.2aaaG xzGPADFGxzaaaaaFG CBxzaa xxaaaaaFG CPxza aa zzaGGAD（3）设（，），则平面。（）（）（）点坐标为（，），即点为的中点解法二、(1)证明：PD面ABCDPDCD，又ABCD是正方形ADCDPDADDCD面PADCDPA E、F分别为 AB、PB的中点EFPA，故CDEFADOEEBAEOEFOOBD/.，、，连结的中点（证法二）取./.PDFOFBFPCDOECDAD，又PDABCDFOABCD底面，底面，FOCDOEOFOCD面OEFEF面OEFCDEF22211.33111224221153.2242B DEFFDEBDEFDEBDEBBDEFddFOaaFOaaEFAPaDFPBaDEaaVVSSS（2）设到平面的距离为，设底面边长为，则，.6363sin.6121418686.90454342222222222所成角的正弦值为与平面，则所成角与平面设，DEFDBDBdDEFDBadaadaaDEFDEaaaDFEFSDEFo.GAD（3）答：是的中点.PCHDHPDDCDHPC（方法一）取的中点，连结，文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y85.BCPDCBCDHDHPCB又平面，平面1./2DAGGFFHHFBCDGDGFH取中点，连结、，四边形为平行四边形/.DHGFGFPCB，平面.ADGPGGBGFPGDBGAPGGBFPBGFPBGOFOABCDOGADFGADFGBCFGPBC（方法二）取中点，连结、，又为中点，连结底面，平面21、解：（1）证法一：设点P 的坐标为).,(yx由 P),(yx在椭圆上，得.)()()(|222222221xacaxabbcxycxPF由0,acxacaax知，所以.|1xacaPF3 分证法二：设点P 的坐标为).,(yx记,|,|2211rPFrPF则.)(,)(222221ycxrycxr由.|,4,211222121xacarPFcxrrarr得（2）解法一：设点T 的坐标为).,(yx当0|PT时，点（a，0）和点（a，0）在轨迹上.当|0|0|2TFPT且时，由0|2TFPT，得2TFPT.又|2PFPQ，所以 T 为线段 F2Q 的中点.在 QF1F2中，aQFOT|21|1，所以有.222ayx综上所述，点T 的轨迹 C 的方程是.222ayx解法二：设点T 的坐标为).,(yx当0|PT时，点（a，0）和点（a，0）在轨迹上.当|0|0|2TFPT且时，由02TFPT，得2TFPT.又|2PFPQ，所以 T 为线段 F2Q 的中点.设点 Q 的坐标为（yx,），则.2,2yycxx因此.2,2yycxx由aQF2|1得.4)(222aycx文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y86 将代入，可得.222ayx综上所述，点T 的轨迹 C 的方程是.222ayx7 分（3）解法一：C 上存在点M（00,yx）使 S=2b的充要条件是.|221,2022020bycayx由得ay|0，由得.|20cby所以，当cba2时，存在点M，使 S=2b；当cba2时，不存在满足条件的点M.11 分当cba2时，),(),(002001yxcMFyxcMF，由2222022021bcaycxMFMF，212121cos|MFFMFMFMFMF，22121sin|21bMFFMFMFS，得.2tan21MFF解法二：C 上存在点M（00,yx）使 S=2b的充要条件是.|221,2022020bycayx由得.|20cby上式代入得.0)(2224220cbacbacbax于是，当cba2时，存在点M，使 S=2b；当cba2时，不存在满足条件的点M.11 分当cba2时，记cxykkcxykkMFMF00200121,，由,2|21aFF知9021MFF，所以.2|1|tan212121kkkkMFF 14 分文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8文档编码:CZ5V5C1A3T6 HG5E4K10G4M1 ZV7Z10L3G2Y8