推荐回答(1个)
1、五个
方法一:用剩余定理做:
7*100+2*36+3*45=907
9、5、4的最小公倍数是:180
907/180=5。。。7
所以这样的三位数是:180*1+7=187
180*2+7=367
180*3+7=547
180*4+7=727
180*5+7=907
共有:五个
方法二:枚举法:
类似题型若无特殊的条件,一般都通过枚举法找出符合条件的最小值,然后在此基础上加上各除数的最小公倍数,则可以得出相应的答案。
具体到此题,我们可以利用一些特殊条件缩小范围,减少枚举次数。
①因为除以4余3,因此该数为奇数;
②因为除以5余2,因此该数个位数为2或7,根据①,可知该数个位数应为7;
③因为除以9余7,结合②,该数最少应为97;结合①,经过尝试,得到符合条件的最小数值为187
④3个除数9、5、4的最小公倍数180,因此符合条件的三位数有187、367、547、727、907共5个。
2、桔子买了30千克,苹果买了20千克,香蕉买了15千克,柿子买了18千克。
买桔子用去的前与买苹果用去的钱一样多
桔子的数与苹果数比是3:2。
买柿子用去的钱是买香蕉所用的钱的2倍
柿子数比香蕉数是6:5。
设桔子3X千克,苹果2X千克,香蕉5Y千克,柿子6Y千克。
3X+2X+5Y+6Y=83
6X+6X+2.4*5Y+4*6Y=228
Y=3,X=10
桔子买了30千克,苹果买了20千克,香蕉买了15千克,柿子买了18千克。
3、6000元
5000*20%=1000(元)
1300>1000,说明此人的收入超过了5000元,是按20%缴的税
1300/20%=6500(元)----缴税的部分
6500+800=7300(元)----实际收入
7300-1300=6000(元)----净收入
4、三种
A
B
+
C
D
----------
E
F
A
B
C
D
E
F
2
4
3
5
6
1
1
4
3
6
5
2
1
5
2
6
4
3
即:
24
+35
----
61
14
+36
----
52
15
+26
----
5、574个
因为余数只能在1到6里取
试试就知道0-6中任意3数和不为7,只能是0,1和2
但是3个0可以被7整除所以0只能有两个
所以个数共有2000/7*2+2=574个
7、180
一只小虫从A处爬到B处。如果它的速度每分增加1米,可提前15分到达。如果它的速度每分再增加2米,则又可提前15分到达。A处到B处之间的路程是多少米?
速度比时间1:15
=
3
:45
为什么要这么化?以为第一次比第二次嘤?5分钟,45-30=15
速度比时间3:30
那么3+1=4为速度,4*45=180
8、解:设甲、乙两瓶酒精原来分别有X、Y升,列方程如下:
(70%X+60%Y)/X+Y=66%
……①
〔(X-5)70%+(Y-5)60%〕/X+Y-10=66.25%
……②
解此二元一次方程组得:X=30升
Y=20升
9、答案应该是124365879
首先说能被11整除的数的特征:
把一个数由右边向左边数,将奇位上的数字与偶位上的数字分别加起来,再求它们的差,如果这个差是11的倍数(包括0),那么,原来这个数就一定能被11整除.
所以此题,1-9加起来等于45,要想被11整除,设偶数位和或奇数位和为X,则X+X+11=45,X=17,因为这个数最小的排列方式(先不考虑被11整除)为123456789,其中奇数位和=25大于17,所以奇数位和=28,偶数位和=17,因为123456789中奇数位和比28小三,所以把后六位数每两位调换,变成124365879。(越大的数越靠后越好)
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