如图，以原点O为圆心，OB为半径画弧与数轴交于点A，且点A表示的数为x，则x2﹣10的立方根为（）

Question

如图，以原点O为圆心，OB为半径画弧与数轴交于点A，且点A表示的数为x，则x²﹣10的立方根为（　　）                                               

                                                            

A．                B．﹣             C．2                            D．﹣2

Answer 1

D【分析】根据勾股定理列式求出x²，再利用立方根的定义解答．                 

【解答】由图可知，x²=1²+1²=2，                                                     

则x²﹣10=2﹣10=﹣8，                                                                           

﹣8的立方根为﹣2，                                                                         

故选：D．                                                                                         

【点评】本题考查了实数与数轴，主要是数轴上无理数的作法，需熟练掌握．