这里有一道gmat 的题,不是很明白,
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这里有一道gmat 的题,不是很明白,
For any integer k greater than 1,the symbol k* denotes the product of all the fractions of the form ,where t is an integer between 1 and k,inclusive.What is the value of
For any integer k greater than 1,the symbol k* denotes the product of all the fractions of the form ,where t is an integer between 1 and k,inclusive.What is the value of
CUZ U r using Chinese,I am going to answer in Chinese.
Let's go on.
原题应该是这样的:
For any integer k greater than 1,the symbol k* denotes the product of all the fractions of the form 1/t,where t is an integer between 1 and k,inclusive.What is the value of 5*/4*
答案是1/5.
解题过程如下:
where t is an integer between 1 and k”从这句话我们判断出t的取值范围为1到k的所有整数(包含1和k);
正确理解"product",这是乘积的意思;
“all the fractions of the form 1/t”,以k=5为例,t的取值分别是5、4、3、2、1;则1/t就分别为1/5、1/4、1/3、1/2、1/1;
"the product of all the fractions of the form 1/t"就是“1/5乘以1/4乘以1/3乘以1/2乘以1/1的积”;
那么我们可以看出5*/4* =(1/5乘以1/4乘以1/3乘以1/2乘以1/1)除以(1/4乘以1/3乘以1/2乘以1/1),结果等于1/5.
注:"the symbol k* denotes the product of all the fractions of the form 1/t,where t is an integer between 1 and k"表述了k* =(1/k)!
Let's go on.
原题应该是这样的:
For any integer k greater than 1,the symbol k* denotes the product of all the fractions of the form 1/t,where t is an integer between 1 and k,inclusive.What is the value of 5*/4*
答案是1/5.
解题过程如下:
where t is an integer between 1 and k”从这句话我们判断出t的取值范围为1到k的所有整数(包含1和k);
正确理解"product",这是乘积的意思;
“all the fractions of the form 1/t”,以k=5为例,t的取值分别是5、4、3、2、1;则1/t就分别为1/5、1/4、1/3、1/2、1/1;
"the product of all the fractions of the form 1/t"就是“1/5乘以1/4乘以1/3乘以1/2乘以1/1的积”;
那么我们可以看出5*/4* =(1/5乘以1/4乘以1/3乘以1/2乘以1/1)除以(1/4乘以1/3乘以1/2乘以1/1),结果等于1/5.
注:"the symbol k* denotes the product of all the fractions of the form 1/t,where t is an integer between 1 and k"表述了k* =(1/k)!