题目内容

10.把下列各数填入相应的集合里:0.236,0.3$\stackrel{•}{7}$,-$\frac{π}{2}$,-$\frac{1}{12}$,18,-0.021021021…,0.34034003400034…,3.7842…,0.
正数集合{0.236,0.37,18,0.34034003400034…,3.7842}
负数集合{-$\frac{π}{2}$,-$\frac{1}{12}$,-0.021021021…}
有理数集合{0.236,0.37,18,-$\frac{1}{12}$,-0.021021021…,0…}
无理数集合{-$\frac{π}{2}$,0.34034003400034…,3.7842…}.

分析 根据实数的分类进行计算即可.

解答 解:正数集合:{0.236,0.37,18,0.34034003400034…,3.7842…};
负数集合:{-$\frac{π}{2}$,-$\frac{1}{12}$,-0.021021021…};
有理数集合:{0.236,0.37,18,-$\frac{1}{12}$,-0.021021021…,0…};
无理数集合:{-$\frac{π}{2}$,0.34034003400034…,3.7842…},
故答案为0.236,0.37,18,0.34034003400034…,3.7842;-$\frac{π}{2}$,-$\frac{1}{12}$,-0.021021021…;0.236,0.37,18,-$\frac{1}{12}$,-0.021021021…,0…;-$\frac{π}{2}$,0.34034003400034…,3.7842….

点评 本题考查了实数的分类,掌握实数的分类是解题的关键.

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