2. 外语
  3. If a and b are odd integers and a? b, which of the following equals to the number of even integers that are greater than a and l

If a and b are odd integers and a? b, which of the following equals to the number of even integers that are greater than a and l

admin2020-05-11  46
问题 If a and b are odd integers and a? b, which of the following equals to the number of even integers that are greater than a and less than b?
选项 A、(a-b-2) /2
B、(a-b-1)/2
C、(a-b)/2
D、a-b
E、a-b-1
答案C
解析 在考场上，这道题目可以采用特殊值的方法，会比常规做法简便很多。题目中对a和b两个数的限制条件有两个，即二者均为奇数，且a＞b。因此不妨代入两个奇数进行考查，设a=3，b=1，问题中所求的“大于a、小于b的偶数个数”在将a和b赋值后，可知1和3中间仅有2一个偶数；把a=3，b=1代入选项，发现有C和E两个选项都等于1，此时应换两个差距较大的数重新进行赋值；把a=5，b=1带入选项，此时1和5之间应该有2和4两个偶数；发现只有C选项等于2，此时答案便可以确定选C。
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