这道题目怎么解---```plain
3、如图,平面直角坐标系中,直线AB与x轴交于点A(-3, 0)与y轴交于点B(0, 6),点C是直线AB上的一点,坐标为(m, 4),经过点C作直线CD//x轴交y轴于点D.
(1) 求点C的坐标;
(2) 已知点P是直线CD上的动点,
①若△POC的面积为4,求点P的坐标;
②若△POC为直角三角形,请求出所有满足条件的点P的坐标.
Chart Description:
Type: Planar Cartesian coordinate system with points and lines. Two identical diagrams are provided, the second labeled as "备用图" (Spare diagram).
Main Elements:
- Coordinate Axes: X-axis and Y-axis intersecting at the origin O. Arrows indicate positive directions. Labels 'x' and 'y' are present.
- Line AB: A straight line passes through a point A on the negative x-axis and a point B on the positive y-axis.
- Points:
- Point A is labeled on the negative x-axis.
- Point B is labeled on the positive y-axis.
- Point O is the origin.
- Point C is labeled on the line AB, in the second quadrant relative to the origin.
- Point D is labeled on the positive y-axis, above O.
- Line CD: A horizontal line segment is drawn from point C to point D. It is explicitly stated and shown that CD is parallel to the x-axis and intersects the y-axis at D.
- Labels and Annotations: Points A, B, C, D, O, x, y are labeled. The second diagram is labeled "备用图".
- Relative Position and Direction: A is on the negative x-axis. B is on the positive y-axis. C lies on the line segment implicitly defined by A and B (or the line passing through A and B). CD is horizontal, so C and D have the same y-coordinate. D is on the y-axis, so its x-coordinate is 0. Based on the diagram, C is to the left of D, and D is above O. C appears to be in the second quadrant, and D is on the positive y-axis.
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Let's analyze this coordinate geometry problem step by step. We have line AB passing through points A at negative 3, 0 and B at 0, 6. Point C with coordinates m, 4 lies on line AB, and line CD is parallel to the x-axis. We need to find the coordinates of point C and then solve for point P on line CD.