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  3. [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2024-01-12  45
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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