分析:根據(jù)奇數(shù)與偶數(shù)的性質(zhì),奇數(shù)與奇數(shù)的和是偶數(shù),積數(shù)與偶數(shù)的和是奇數(shù),偶數(shù)與偶數(shù)的和是偶數(shù).據(jù)此解答.
解答:解:最小的正整數(shù)是1,兩個連續(xù)正整數(shù)中,一個奇數(shù)一個偶數(shù),所以兩個連續(xù)正整數(shù)的和是奇數(shù).
故選:A.
點評:此題考查的目的是理解掌握奇數(shù)與偶數(shù)的性質(zhì).奇數(shù)與奇數(shù)的和是偶數(shù),積數(shù)與偶數(shù)的和是奇數(shù),偶數(shù)與偶數(shù)的和是偶數(shù).