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我们知道,实数与数轴上的点一一对应,且在数轴上任意表示的两个实数,右边的数总大于左边的数.本文就一类关于实数与数轴的题目为例,来说明上述关系的应用.例1实数a在数轴上的位置如图所示,化简(a~2)~(1/2)=__.简析观察数轴,可见a<0.故(a~2)~(1/2)=|a|=-a.例2已知a、b两数在数轴上对应的点如图所示,下列结论正确的是().A.a>b B.ab<0 C.b-a>0 D.a+b>0简析观察数轴.易见bb.故选A.
We know that the real numbers correspond to the points on the number axis, and the two real numbers are arbitrarily represented on the number axis. The numbers on the right side are always greater than the numbers on the left side. This article describes the relationship between a real number and a number axis as an example. Application. Example 1 The position of real number a on the number axis As shown in the figure, Simplify (a~2)~(1/2)=__. Briefly analyze the observation axis, and see that a<0. So (a~2)~ (1/2)=|a|=-a. Example 2 It is known that the corresponding points of a and b on the number axis are as shown in the figure. The following conclusions are correct. (). Aa>b B.ab<0 Cb -a>0 D.a+b>0 Analysis of the observation axis. It is easy to see b b. Therefore choose A.