1955 AMC 12 第 11 题

Question

命题“没有学习迟缓的学生在这所学校就读”的否定是：

The negation of the statement “No slow learners attend this school,” is:

所有学习迟缓的学生都在这所学校就读。

All slow learners attend this school.

所有学习迟缓的学生都不在这所学校就读。

All slow learners do not attend this school.

有些学习迟缓的学生在这所学校就读。

Some slow learners attend this school.

有些学习迟缓的学生不在这所学校就读。

Some slow learners do not attend this school.

没有学习迟缓的学生不在这所学校就读。

No slow learners do not attend this school.

“没有”表示连一个这样的例子都不存在

“No” means that there does not exist even one example

否定一个全称排除命题，就是断言存在一个反例

Negating a universal exclusion asserts the existence of a counterexample

原命题表示所有学习迟缓的学生都不在这所学校就读。它的否定是至少有一名学习迟缓的学生在这所学校就读。

因此，“有些学习迟缓的学生在这所学校就读”是正确的，所以答案是 C。

The original statement says that every slow learner is absent from the school. Its negation is that at least one slow learner attends the school.

Thus, “Some slow learners attend this school” is correct, so the answer is C.

其他年份的第 11 题