三道平均数问题的奥数!!高手进!!

2024-11-21 18:04:40
推荐回答(6个)
回答1:

1、设小强此次前进行过x次测验
(84x+100)/(x+1)=86
(84-86)x=86-100
x=7 ,x+1=8
这一次测验是第8次测验

2、解:11个整数的和一定是整数。
平均数是15.35,它的11倍是168.85是个小数,接近这个小数的整数是169
169/11=15.363636≈15.36
正确的应该是15.36

3、设一班种了X棵,二班种了Y棵,三班种了Z棵
X+Y=61
Y+Z=56
X+Z=65
解得:x=35,y=26,z=30
三个班分别种了35、26、30棵树

回答2:

1.肯定第八次(100-84)/(86-84)=8

2.11*15.3=168.3
11*15.4=169.4
169/11=15.36

3.(56+65+61)/2=91
91—56=35
91—65=26
91—61=30
一二三班各种,35,26,30棵

回答3:

1.设这次为第X次测验
根据平均数公式:<84(x-1)+100>/x=86
84(x-1)+100=86x
x=8
所以是第八次
2.任意整数除以11都可得到无限循环小数,而且,此无限循环小数很有规律。
即:把整数除以11,所得的余数从1-10分别为:
1:090909....
2: 181818....
3: 272727....
4: 363636....
5: 454545....
6: 545454....
7: 636363....
8: 727272....
9: 818181....
10:909090....
题目中说:四舍五入为15.35,且只是最后一位错了
由上表可知,应为15.36

3.设一班种了X棵,二班种了Y棵,三班种了Z棵
X+Y=61
Y+Z=56
X+Z=65
解得:x=35,y=26,z=30
三个班分别种了35、26、30棵树

回答4:

1,设第X次,解:{84*(X-1)+100}除以X=86 X=8
2,正确结果是15.36.这是因为15.35*11=168.85.而11个整数的和一定是整数,故这11个数的和为169,169/11=15.364,保留两位小数应为16.36。这11个数的和不可能是168,因为168/11=15.27.
3,设 一班种X 二班种Y 三班种Z 解:Y+Z=56 X+Z=65 X+Y=61 得:x=35y=26z=30

回答5:

1.(84x+100)÷(x+1)=86,x=7,所以这次是第八次。
2.15.36
15.35*11=168.85
168/11=15.27(舍)
169/11=15.36
1.肯定第八次(100-84)/(86-84)=8

2.11*15.3=168.3
11*15.4=169.4
169/11=15.36

3.(56+65+61)/2=91
91—56=35
91—65=26
91—61=30
一二三班各种,35,26,30棵

回答6:

1.第八次
100-86=14
14/2=7
所以7+1=8
2.15.36
15.35*11=168.85
168/11=15.27(舍)
169/11=15.36
3.
一班A 二班B 三班C
A+B=51 B+C=56 A+C=65
所以A=35 B=16 C=34

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