2016全国初中数学联赛试题答案及解.pdf
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1、2016 年全国初中数学联合竞赛试题(初二年级)第一试一、选择题(本题满分42 分,每小题7 分)1.用x表示不超过x 的最大整数,把xx称为 x 的小数部分.已知321t,a 是 t 的小数部分,b 是-t 的小数部分,则ab121A.21B.23C.1 D.32.三种图书的单价分别为10 元、15 元和 20 元,某学校计划恰好用500 元购买上述图书30本,那么不同的购书方案共有A.9 种B.10 种C.11 种D.12 种3.如图,P 为?ABC 内一点,70BAC,120BPC,BD 是ABP的平分线,CE是ACP的平分线,BD 与 CE 交于 F,则BFCA.85B.90C.95D
2、.1004.记22222211113121121111nnSn,则20162016SA.20172016B.20162017C.20182017D.201720185.点 D、E、F 分别在?ABC 的三边 BC、AB、AC 上,且 AD、BF、CE 相交于一点M,若5CFACBEAB,则MDAMA.B.C.D.P A B C ED F 2532726.设 a,b,c,d 都是正整数,且a5=b2,c3=d4,a-c=319,则dcab2A.15 B.17 C.18 D.20 二、填空题(本题满分28 分,每小题7 分)1.如图,已知四边形ABCD 的对角互补,且DACBAC,AB=15,AD
3、=12.过顶点 C作ABCE于点 E,则._BEAE2.已知整数a,b,c 满足不等式cbabcba20282112222,则 a+b-c=_.3.若质数 p,q 满足:111043qppq,则 pq 的最大值为_.4.将 5 个 1、5 个 2、5 个 3、5 个 4、5 个 5 共 25 个数填入一个5 行 5 列的表格内(每格填入一个数),使得同一列中任何两数之差的绝对值不超过2.考虑每列中个数之和,设这5个和的最小值为M,则 M 的最大值为 _.第二试一、(本题满分20 分)如图,ABCD 为平行四边形,E 为 BC 的中点,AEDF于 F,H 为 DF 的中点,证明:DFCH.二、(
4、本题满分25 分)B E A D CA BCD E F H 文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2
5、HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V
6、7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9
7、ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10
8、J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6
9、文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:C
10、Y1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6设互不相等的非零实数a,b,c满足accbba222,求222222accbba的值.三、(本题满分25 分
11、)已知 a,b 为正整数,求42322babaM能取到的最小正整数值.文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1
12、F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 H
13、V7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7
14、P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 Z
15、M6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J
16、6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文
17、档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6答案与解第一试一、选择题题号1 2 3 4 5 6 答案A C C D B B 1.2113132
18、4132432134332原式,ttbttatt2.种方案,有本设三种书分别买11100010022010020151030,xxzxyzyxzyxzyx3.略4.201720181212111111131211211111111111121112111121211111222222222原式nnnSnnnnnnnSkkkkkkkkkkkkkkkkknn5.A B CD E F M文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V
19、7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9
20、ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10
21、J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6
22、文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:C
23、Y1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S1F2U2 HV7N7V7P3R9 ZM6M10J6M2E6文档编码:CY1G10S
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