这道题怎么做?
6:IfwithonehouroflabortimenationAcanproduceeither3Xor3YwhilenationBcanproduceeither1X...
6:If with one hour of labor time nation A can produce either 3X or 3Y while nation B can produce either 1X or 3Y (and labor is the only input):
9. With reference to the statement of Question 6, the range of mutually beneficial trade between nation A and B is:
a. 3Y < 3X < 5Y b. 5Y < 3X < 9Y c. 3Y < 3X < 9Y d. 1Y < 3X < 3Y
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9. With reference to the statement of Question 6, the range of mutually beneficial trade between nation A and B is:
a. 3Y < 3X < 5Y b. 5Y < 3X < 9Y c. 3Y < 3X < 9Y d. 1Y < 3X < 3Y
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解:设正整数M=X2-Y2=(X+Y)(X-Y)
∵x+y和x-y的奇偶性相同
m必须能分解成两个奇偶性相同数的乘积。
2003=2003×1,即2003=(1002+1001)×(1002-1001)=10022-10012
同理,2004=1002×2=(502+500)×(502-500)=5022-5002
2005=2005×1=(1003+1002)×(1003-1002)=10032-10022
而2002=2×7×11×13,是偶数,但又只有1个2的因数,所以不能。
答案:选A
∵x+y和x-y的奇偶性相同
m必须能分解成两个奇偶性相同数的乘积。
2003=2003×1,即2003=(1002+1001)×(1002-1001)=10022-10012
同理,2004=1002×2=(502+500)×(502-500)=5022-5002
2005=2005×1=(1003+1002)×(1003-1002)=10032-10022
而2002=2×7×11×13,是偶数,但又只有1个2的因数,所以不能。
答案:选A
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