2022年人教版小学五年级数学上册知识点归纳总结2 .pdf

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1、学习必备欢迎下载第一单元小数乘法1、计算方法：按整数乘法的法则算出积；再看因数中一共有几位小数，就从积的右边起数出几位，点上小数点。注意：按整数算出积后，小数末尾的0 要去掉，也就是把小数化简；位数不够时，要用 0 占位。2、规律：一个数（0 除外）乘 大于 1 的数，积比原来的数 大；一个数（0 除外）乘 小于 1 的数，积比原来的数 小。3、求近似数的方法一般有三种：四舍五入法；进一法；去尾法4、计算钱数，保留两位小数，表示计算到分；保留一位小数，表示计算到角。5、分段收费：最低消费+超过的部分单价=总收费6、运算定律和性质：加法：加法交换律：abba 加法结合律:(a b)ca(b c)

2、减法：abca(b c)a(bc)abc 乘法：乘法交换律：abba 乘法结合律：(a b)ca(bc)乘法分配律：(a b)cacbc (ab)cacbc除法：a bca(bc)a(b c)abc 学习必备欢迎下载第二单元位置1、数对：由两个数组成，中间用逗号隔开，用 括号括起来。括号里面的数由左至右分别为列数和行数，即“先列后行”。2、作用：一组数对确定唯一一个点的位置。例：在方格图中用数对（3，5）表示（第三列，第五行）。注：数对（X，5）表示在第 X列，第 5 行；数对（5，Y）表示在第 5 列，第 Y行。3、图形左右平移行数不变；图形上下平移列数不变。第三单元小数除法1、除数是整数的

3、小数除法的计算方法：小数除以整数，先按整数除法的方法去除。然后点小数点，商的小数点要和被除数的小数点对齐。整数部分不够除，商0，点上小数点。如果有余数，要添0 再除。2、除数是小数的小数除法的计算方法：先移动除数的小数点，使它变成整数；除数的小数点向右移动几位，被除数的小数点也向右移动几位（位数不够的，在被除数末位用 0 补足）；然后按除数是整数的小数除法进行计算。3、在实际应用中，小数除法所得的商也可以根据需要用“四舍五入”法、“进一法”、“去尾法”求出商的近似数。进一法：不管小数部分是多少，都要进一取整数。去尾法：不管小数部分是多少，都要舍去尾数取整数。4、在求商的近似数时，计算到比保留的

4、小数位数多一位，再将最后一位“四舍五入”。5、除法中的变化规律：商不变：被除数和除数同时扩大或缩小相同的倍数（0 除外），商不变。除数不变，被除数扩大，商随着扩大。文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I

5、8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7

6、D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8

7、E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q

8、6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8

9、P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2

10、C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3学习必备欢迎下载被除数不变，除数缩小，商扩大。6、商与被除数的关系：当除数小于 1 时，商大于被除数

11、；当除数大于 1 时，商小于被除数。7、循环小数：一个数的小数部分，从某一位起，一个数字或者几个数字依次不断重复出现，这样的小数叫做循环小数。例如：5.333、7.145458、循环节：一个循环小数的小数部分，依次不断重复出现的数字。如6.3232的循环节是 32.例如：5.333 的循环节是 3。7.14545的循环节是 45。6.9258258的循环节是 258。9、简便记法：写循环小数时，可以只写 第一个 循环节，并在这个循环节的首位和末位数字上面各记 一个圆点。例如：5.333写作：5.3 6.9258258 写作：6.925810、小数部分的位数是有限的小数，叫做有限小数。例如：0.

12、9375。11、小数部分的位数是无限的小数，叫做无限小数。例如：0.27、3.1415926第四单元可能性1、有些事件的发生是确定的，有些是不确定的。可能（不确定）可能性不可能一定2、事件发生的机会（或概率）有大小。大数量多小数量少第五单元简易方程1、在含有字母的式子里，字母中间的乘号可以记作“”，也可以省略不写。（确定）可能性.文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q

13、6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8

14、P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2

15、C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I

16、3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4

17、Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7

18、J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU

19、8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3学习必备欢迎下载注：加号、减号、除号 以及数与数之间 的乘号不能省略。2、aa 可以写作 aa 或 a2读作：a 的平方。注：2a 表示 a+a ；a2表示 aa3、方程：含有 未知数 的等式称为方程。注意：方程一定是等式，等式不一定是方程。4、解方程的原理：数量关系式加法：和加数加数一个加数 和两一个加数减法：差被减数减数被减数差减数减数被减数 差乘法：积因数因数一个因数 积另一个因数除法：商被除数除数被除数商除数除数被除数商常见的公式：总价单价数量路程时间速度单价总价数量时间路程速度数量总价单价速度路程时间第六单元多边形的

20、面积1、长方形：周长(长宽)2 【长周长 2宽；宽 周长 2长】文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4

21、Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7

22、J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU

23、8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1

24、Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10

25、O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:

26、CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3学习必备欢迎下载字母表示：C(ab)2 面积 长宽字母表示：Sab 2、正方形：周长 边长 4 字母表示：C4a面积 边长边长字母表示：Sa23、平行四边形面积底高【底面积高；高 面积底】字母表示：S

27、ah 【aSh ；h Sa】4、三角形面积底高 2 【底面积2高；高 面积2底】字母表示：Sah2 【a2Sh ；h 2Sa】5、梯形面积（上底下底）高 2 字母表示：S（ab）h2单位进率：100 100 10000 100 cm2 dm2 m2公顷 km2平方厘米平方分米平方米平方千米 6、等底等高的平行四边形面积相等；等底等高的三角形面积相等；等底等高的平行四边形面积是三角形面积的2 倍。7、长方形框架拉成平行四边形，周长不变，面积 变小。8、组合图形面积（或阴影部分面积）：通过分割、填补，转化成已学的简单图形，通过加、减进行计算。（整体部分另一部分）文档编码:CU8I3Q6I8V5 H

28、L1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS

29、10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编

30、码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5

31、 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4

32、ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文

33、档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8

34、V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3学习必备欢迎下载第七单元数学广角植树问题全长间隔长间隔数全长间隔长间隔数全长间隔数 间隔长1、两端都栽：如图：棵数间隔数 1 2、只栽一端（封闭图形 植树问题）：如图：棵数间隔数3、两端都不栽如图：棵数间隔数 1 或文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文

35、档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8

36、V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D

37、4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E

38、3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6

39、I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P

40、7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3文档编码:CU8I3Q6I8V5 HL1Z4Q8P7D4 ZS10O7J2C8E3