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Authoritative PPT Summary
"Plane Cartesian Coordinate System" PPT courseware 5
learning target:
1. Understand the plane rectangular coordinate system and be able to establish the plane rectangular coordinate system;
2. Can find coordinates from points
3. Can find points by coordinates
4. Understand the quadrants and the coordinate symbols of points within each quadrant.
5. Understand and master the coordinates of points on the coordinate axis.
Self-learning
1. How to determine the position of a point on a straight line?
2. How to determine the position of a point in the plane?
3. Select: Among the following four figures, which one is a plane rectangular coordinate system ( )
4. Indicate the quadrant in the coordinate plane where each of the following points is located.
5. As shown in the figure, how to find the coordinates of points A and B?
6. As shown in the figure, find the positions of the following two points in the Cartesian coordinate system
C(-4,3)
D(5,-4)
How to determine the position of a point on a straight line?
A point on the number axis can be represented by a number, which is called the coordinate of the point on the number axis. For example, the coordinate of point A on the number axis is -3, and the coordinate of point B on the number axis is 2. Conversely, knowing the coordinates of a point on the number axis, the position of this point on the number axis is also determined.
1. In the plane rectangular coordinate system, the following points are in the four quadrants ( )
A.(2,-1) B.(-3,4) C.(3,5) D.(6,0)
2. It is known that point A(m,n) in the coordinate plane is in the fourth quadrant, then point B(mn,n2) is in ( )
A. The first quadrant B. The second quadrant.
C. The third quadrant D. The fourth quadrant
3. If point P (a+5, a) is on the x-axis, then the coordinates of point P are _______.
Solution: a=0, a+5=5, P point coordinates are (5,0)
4. The distance between point A (−4, 2) and the x-axis is ______; the distance from the y-axis is _____.
Philosophy of life in mathematics
At the beginning of life, you have your own place in the world. When life ends, you still have your own place on the earth. A person should know his own position just like knowing a person's face. This is the most sober consciousness. So do what you can and do it to your best, this is the most important thing in being a human being.
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