2. 外语
  3. If y is a two-digit number with tens digit t and units digit u and the table above is a multiplication table for t and u ( for e

If y is a two-digit number with tens digit t and units digit u and the table above is a multiplication table for t and u ( for e

admin2009-05-19  52
问题
If y is a two-digit number with tens digit t and units digit u and the table above is a multiplication table for t and u ( for example, t×u = b), then y² =?
选项 A、a + 2b+10c
B、10a + 20b+c
C、10 (a + 2b+c)
D、100 (a + 2b+c)
E、100a + 20b+c
答案E
解析 若y是一个两位数(two-digit number)，其十位数字(tens digit)为t，个位数字(units digit)为u，且上面表格是t和u的乘法表(例如：t×u=6)，那么y2等于多少?
解：本题的正确答案是(E)。由题意可得：Y=10t+u →y2=(10t+u)2=100t2+20tu+u2；由t和u的乘法表可得t2=a,tu=b,u2=c,则y2=100a+20b+c
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