2022年初中数学奥林匹克训练题10试卷 .pdf
初中数学奥林匹克训练题（10）第一试一、填空题1、设H为锐角三角形ABC的垂心，已知30A，3BC，则AH_.2、有六张分别写有数字1，2，3，4，5，6 的卡片，每次从中抽取一张，记下上面的数字，然后放回.这样取了4 次，则抽到的最大数与最小数的差等于5 的概率为 _.3、已知三个正数,a b c满足3abca，223()5ba acb，则2bca的最小值是_.4、设xR，则函数2211216fxxx的最小值为 .5、从前2008个正整数构成的集1,2,2008M中取出一个k元子集A，使得A中任两数之和不能被这两数之差整除，则k的最大值为6、已知2222212fxxabxaabb的对称轴是y 轴，则函数图象与y轴交点的纵坐标的最大值是7、22cos(15756)xxxx。8、设,a b c d为非负实数，满足abcdbcdacdabdabc，则abbccddacdadabbc。9、设实系数一元二次方程2220 xaxb有两个相异实根，其中一根在区间(0,1)内，另一根在区间(1,2)内，则41ba的取值范围是。10、考虑集合1,2,10S的所有非空子集，若一个非空子集中的偶数的数目不少于奇数的数目，称这个子集是“好子集”，则“好子集”的数目有（）个.11、考虑44的正方形方格表中的25个格点，则通过至少3个格点的不同直线的数目为 .12、设x表示不超过x的最大整数，则2008120082009kk的值是 .13、如右图，已知,L M N分别为ABC的三边,BC CA AB的中点，,D E分别是,BC AB上的点，并满足,AD CE均平分ABC的周长，,P Q分别是,D E关于,L N的对称点，PQ与LM交于点F，若ABAC，则AF一定过ABC的（）.A内心B外心C重心D垂心14、设不定方程222100 xyzxyz的正整数解,x y z中满足,x y z均大于2008的不同解的数目为k，则k满足（）.0A k12008Bk2008C k，但k是有限的数Dk是无穷大二、解答题1、已知锐角ABC的三边,BC CA AB的中点分别为,D E F，在,EF FD DE的延长线上分别取点,P Q R，若APBQCR，证明PQR的外心为ABC的垂心.2、有10个选手1210,A AA，他们的积分分别为9,8,7,6,5,4,3,2,1,0，名次分别为第1,2,3,4,5,6,7,8,9,10.现进行单循环比赛，即任意两个选手之间都恰进行一场比赛，且每场比赛都要分出胜负.若名次靠前的选手胜了名次靠后的选手，则胜者得1分，负者得0分；若名次靠后的选手胜了名次靠前的选手，则胜者得2分，负者得0分，全部比赛结束后计算每个选手的累计积分（即这次单循环所得的分数与之前的积分相加所得的和），并根据累计积分进行重新排名，求新的冠军累计积分的最小值（名次并列是允许的）.3、求解不等式211xxa。文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T5文档编码:CH1I2N8Y7E7 HD5E7U8C1A7 ZO7A7G8F10T54、设122008,为 2008 个整数，且19i（1,2,2008i）。如果存在某个1,2,2008k，使得 2008 位数1200811kkk被 101 整除，试证明：对一切1,2,2008i，2008 位数1200811iii均能被 101 整除。初中数学奥林匹克训练题（10）第二试1、如果正整数n可以写成(ba其中,2,2)a bN ab的形式，则称n为“好数”.在与2 的正整数次幂相邻的正整数中，试找出所有的“好数”.文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H32、ba,是两个不相等的正数，且满足2233baba，求所有可能的整数c,使得abc9.3、设有红、黑、白三种颜色的球各10 个。现将它们全部放入甲、乙两个袋子中，要求每个袋子里三种颜色球都有，且甲乙两个袋子中三种颜色球数之积相等。问共有多少种放法。文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H34、二次函数rqxpxxf2)(中，实数rqp、满足mrmqmp12=0,其中0m求证：(1)0)1(mmpf；(2)方程0)(xf在(0，1)内恒有解5、把正奇数数列21n中的数按上小下大、左小右大的原则排成如下三角形数表：1 3 5 7 9 11 设*)(Njiaij，是位于这个三角形数表中从上往下数第i行、从左往右数第j个数。文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3已知amn2005，求mn，的值；6、如图 394，在直角 ABC中，AD是斜边上的高，M，N分别是 ABD，ACD的内心，直线 MN交 AB，AC于 K，L求证：S ABC2S AKL7、如图 395已知在正三角形 ABC 内(包括边上)有两点 P，Q 求证：PQ AB 文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H38、设 ABC 是边长为 6 的正三角形，过顶点A引直线 l，顶点 B，C到 l 的距离设为 d1，d2，求 d1+d2的最大值(1992 年上海初中赛题)文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3文档编码:CA7I8F8X10E5 HK7C8Q2P8B3 ZR9A4G2X9H3
