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1.用坐标表示地理位置例1图1是永州市几个主要景点示意图,根据图中信息可确定九疑山的中心位置C点的坐标为__.解答根据已知两点的位置,可确定坐标系,从而定出C点的坐标为(3,1).解题提示根据已知两个点的坐标,确定平面直角坐标系的原点和坐标轴,这是一个逆向思维的问题,然后再在直角坐标系中标出点C的坐标则是正向思维.2.平移变换后点的坐标例2在平面直角坐标系中,已知线段AB的两个端点分别是A(-4,-1),B(1,1),将线段AB平移后得到线段AB’,若点A的坐标为(-2,2),则点B’的坐标为().A.(4,3)B.(3,4)C.(-1,-2)D.(-2,-1)解答由A与A的坐标关系,知线段AB向右移动2
1. Using coordinates to represent the geographical location Example 1 Figure 1 is a schematic diagram of several major scenic spots in Yongzhou City. According to the information in the map, the coordinates of the center point of the Nine Susan Mountain can be determined as __. The solution can be based on the positions of two known points. Determine the coordinate system so as to determine the coordinates of the C point as (3,1). The problem-solving hints determine the origin and axis of the rectangular coordinate system based on the known coordinates of the two points. This is a problem of reverse thinking, and then Then the coordinates of the point C in the Cartesian coordinate system are the forward thinking. 2. The coordinate of the point after the translation is transformed. Example 2 In the Cartesian coordinate system, the two endpoints of the known line segment AB are A (-4,-1 respectively). ), B (1,1), the line segment AB is translated to get the line segment AB’. If the coordinate of the point A is (-2, 2), the coordinate of the point B’ is (). A. (4, 3) B (3,4)C.(-1,-2)D.(-2,-1) Solution The coordinate relationship between A and A knows that segment AB moves to the right 2