> 数学 >
已知:2+
2
3
=22×
2
3
,3+
3
8
=32×
3
8
,4+
4
15
=42×
4
15
…,若10+
a
b
=102×
a
b
(a、b为正整数),则a+b的值为(  )
A. 89
B. 91
C. 109
D. 111
人气:118 ℃ 时间:2020-03-30 21:14:55
解答
∵2+
2
3
=22×
2
3
,3+
3
8
=32×
3
8
,4+
4
15
=42×
4
15
…,10+
a
b
=102×
a
b

∴a=10,b=102-1=99,
∴a+b=10+99=109.
故选C.
推荐
猜你喜欢
© 2024 79432.Com All Rights Reserved.
电脑版|手机版