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[img]ct_gre5image064[/img]In the rectangular coordinate system, segment OP is r
[img]ct_gre5image064[/img]In the rectangular coordinate system, segment OP is r
游客
2025-02-24
9
管理
问题
In the rectangular coordinate system, segment OP is rotated counterclockwise through an angle of 90° to position OQ (not shown).
Column A Column B
The x-coordinate of point Q -1
选项
A、if the quantity in Column A is greater
B、if the quantity in Column B is greater
C、if the two quantity are equal
D、if the relationship cannot be determined from the information given
答案
C
解析
在直角坐标系中,线段OP逆时针旋转90o到OQ(未画出)
解:本题的正确答案为(C)。由图可知,点P在逆时针旋转之前,位于第一象限,根据P点的坐标可以推知OP与x轴的夹角等于30o,逆时针旋转90o后,得到的Q点的坐标在第二象限,OQ与x轴的夹角等于30o。而线段OQ又与线段OP等长,所以Q点的纵坐标为-1
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