(完整word版)2017人教版小学五年级数学下册知识点归纳总结(良心出品必属精品).pdf

1 人教版五年级下册数学第二单元知识点易错点汇总一、倍数与因数的关系【知识 1】倍数与因数之间的关系是相互的,不能单独存在。例如:6 是倍数、3 和 2是因数。(改正:6 是 3 和 2 的倍数,3 和 2 是 6 的因数。练习:(185=40,(和(是(的因数,(是(和(的倍数。(2 因为 369=4,所以(是(和(的倍数,(和(是(的因数。(3 在 186=3中,18 是 6 的(,3 和 6 是(的(。(4 在 147=2中,(能被(整除,(能整除(,(是(的倍数,(是(的因数。(5 若 AB=C(A、B、C都是非零自然数,则 A是 B 的(数,B 是 A的(数。(6 如果 A、B是两个整数(B0,且 AB=2,那么 A 是 B的(,B 是 A的(。(7A,判断并改正:因为 76=42,所以 42 是倍数,7 是因数。(B,因为 155=3,所以 15 和 5 是 3 的因数,5 和 3 是 15 的倍数。(C,5 是因数,15 是倍数。(D,甲数除以乙数,商是 15,那么甲数一定是乙数的倍数。(8 甲数3=乙数,乙数是甲数的(。A、倍数B、因数精品资料-欢迎下载-欢迎下载 名师归纳-第 1 页，共 27 页 -2 C、自然数【知识点 2】倍数因数只考虑整数,小数、分数等不讨论倍数、因数的问题。例如:0.6 5=3,虽然可以表示0.6 的 5 倍是 3 但是,0.6 是小数是不讨论倍数因数问题。因此类似的:因为 0.65=3,所以 3 是 0.6 和 5 的倍数。是错误的说法。练习:(1 有 52=2.5 可知(A、5 能被 2 除尽B、2 能被 5 整除C、5 能被 2 整除D、2 是 5 的因数,5 是 2 的倍数(2365=71 可知(A、5 和 7 是 36的因数B、5 能整除 36 C、36 能被 5 除尽D、36 是 5 的倍数(3 属于因数和倍数关系的等式是(A、20.25=0.5B、225=50精品资料-欢迎下载-欢迎下载 名师归纳-第 2 页，共 27 页 -文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z5文档编码:CU5Z3Q7H7B5 HE10B7U1W6N5 ZT5Y3O5X1Z53 C、20=0【知识点 3】没有前提条件确定倍数与因数例如:36 的因数有(。确定一个数的所有因数,我们应该从 1 的乘法口诀一次找出。如:1 36=36、218=36、312=36、49=36、66=36 因此 36 的所有因数为:1、2、3、4、6、9、12、18、36重复的和相同的只算一个因数。一个数的因数个数是有限的,最小的因数是 1,最大的因数是他本身。例如:7 的倍数(。确定一个数的倍数,同样依据乘法口诀,如:1 7=7、27=14、37=21、47=28、57=35还有很多。因此 7 的倍数有:7、14、21、28、35、42一个数的倍数个数是无限的,最小的倍数是他本身,没有最大的倍数。练习:(120 的因数有:(245 的因数有:(324 的倍数有:(417 的倍数有:(5 下面的数,因数个数最多的是(。A、18 B、36 C、40 精品资料-欢迎下载-欢迎下载 名师归纳-第 3 页，共 27 页 -文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I64(6 判断并改正:14 比 12 大,所以 14 的因数比 12 的因数多(1 是 1,2,3,4,5的因数(一个数的最小因数是1,最大因数是它本身。(一个数的最小倍数是它本身(12 是 4 的倍数,8 是 4 的倍数,12 与 8 的和也是 4 的倍数。(凡是 8 的倍数也一定是 2 的倍数。(7 幼儿园里有一些小朋友,王老师拿了 32颗糖平均分给他们,正好分完。小朋友的人数可能是多少?(8 小红到超市买日记本,日记本的单价已看不清楚,他买了 3 本同样的日记本,售货员阿姨说应付 35 元,小红认为不对。你能解释这是为什么吗?【知识点 4】有前提条件的情况下确定倍数与因数例如:25 以内 5 的倍数有(5、10、15、20、25。特别注意前提条件是 25 以内!例如:5、1、20、35、40、10、140、2 以上各数中,是 20 的因数的数有(;是 20 的倍数的数有(;既是 20 的倍数又是 20 的因数的数有(。首先我们应该明确20 的因数有哪些,然后在上面的数中一次找出,特别注意没有在以上数字中出现的因数是不能填入括号的!练习:(1100 以内 19的倍数有:精品资料-欢迎下载-欢迎下载 名师归纳-第 4 页，共 27 页 -文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I65(2 在 4,6,8,10,12,16,18,20,22,24,28,32,36中4 的倍数:36 的因数:(3 一个数既是 6 的倍数,又是 60 的因数,这个数可能是(4 用 1、5、6、8、9 组成的数中,是 3 的倍数的数有:是 2 的倍数的数有:。【知识点 3】关于倍数因数的一些概念性问题一个数的因数个数是有限的,最小的因数是 1,最大的因数是他本身。一个数的倍数个数是无限的,最小的倍数是他本身,没有最大的倍数。1 是任一自然数(0 除外的因数。也是任一自然数(0 除外的最小因数。一个数的因数最少有1 个,这个数是 1。除 1 以外的任何整数至少有两个因数(0 除外。一个数的因数都小于等于他本身,一个数的倍数都大于等于他本身。一个数的最小倍数=一个数的最大因数=这个数练习:(1 一个数的倍数个数是(,最小的倍数是(,(最大的倍数。(2 一个数的因数的个数是(,最小的因数是(,最大的因数是(。精品资料-欢迎下载-欢迎下载 名师归纳-第 5 页，共 27 页 -文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I66(3 在研究因数和倍数时,我们所说的数一般指的是(。(4 判断并改正:一个数的因数都比他的倍数小。(1 是所有的自然数的因数。(一个数的因数一定小于他本身。(一个数的倍数一定比他的因数大。(任何一个数的倍数个数一定比因数个数多。(二、2、3、5 的倍数的特征【知识点 1】2、3、5 的倍数特征个位上是 0,2,4,6,8的数都是 2 的倍数。例如:202、480、304,都能被 2 整除。个位上是 0 或 5 的数,是 5 的倍数。例如:5、30、405都能被 5 整除。一个数各个数位上的数的和是3 的倍数,这个数就是 3 的倍数。例如:12、108、204都能被 3 整除。个位上是 0 的数既是 2 的倍数又是 5 的倍数。例如:80、20、70、130等。个位上是 0 且各位数字的和是3 的倍数,那么这个数既是 2 的倍数又是 3 和 5 的倍数。例如:120、90、180、270 等。自然数按能否被 2 整除的特征可分为奇数和偶数。也就是说是2 的倍数的数也叫做偶数(0 也是偶数,不是 2 的倍数的数也叫做奇数。(因此在自然数中,除了奇数就是偶数偶数+偶数=偶数偶数-偶数=偶数偶数偶数=偶数偶数+奇数=奇数偶数-奇数=奇数偶数奇数=偶数奇数+奇数=偶数奇数-偶数=奇数奇数奇数=奇数奇数-奇数=偶数精品资料-欢迎下载-欢迎下载 名师归纳-第 6 页，共 27 页 -文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I67 无论多少个偶数相加都是偶数偶数个奇数相加是偶数奇数个奇数相加是奇数练习:(1 在 27、68、44、72、587、602、431、800中,把奇数和偶数分别填在相应的圈内。奇数偶数(2 按要求填数。3 的倍数:2,3,1,7 4,8 6,4 6。2 和 3 的倍数:4,1,6,4,9,5,6。2、3 和 5 的倍数:0,2。(3 写出 5 个 3的倍数的偶数:写出 3 个 5 的倍数的奇数:(4 猜猜我是谁。我比 10 小,是 3 的倍数,我可能是(。我在 10 和 20 之间,又是 3 和 5 的倍数,我是(。我是一个两位数且是奇数,十位数字和个位数字的和是18,我是(。(5 一个六位数 548能同时被 3、4、5 整除,这样的六位数中最小的一个是(。一个四位数 698,如果在个位上填上数字(。那么这个数既是2 的倍数,又是 5 的倍数。117 既是 3 的倍数,又是 5 的倍数;249 既是 2 的倍数,又是 3 的倍数。精品资料-欢迎下载-欢迎下载 名师归纳-第 7 页，共 27 页 -文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 HR2T7D7L10Y9 ZI6P4H3E10I6文档编码:CQ2B3L6P5C1 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