Math problem, planar Cartesian coordinate system

If the point p(x,y) is above the x-axis, |x|=5，|y|=4, then the coordinates of point p are (5,4) or (5,4).

Point p(x,y), if x +y = 0, then point p is at (0,0) point p(x,y), if xy 0, then point p is in the first or third quadrant.

It is known that the point p(x,y) satisfies |x-2|+(y+2) =0, then the coordinates of the point p are (2,-2).

Knowing that the points p(a,b) are in the fourth quadrant, then simplify|a|+|b-a|=_ 2a-b _

Above the x-axis, it means y>0 y=4 x=plus or minus 5 p point coordinates (plus or minus 5,4) if x +y =0 means x=y=0 p point coordinates (0,0) xy 0, it means xy with the same sign, and p point is in one or three quadrants.

x-2|+(y+2) =0 indicates x=2 y=-2 p point coordinates (2,-2).

Fourth quadrant a>0 b<0 |a|+|b-a|=a+a-b =2a-b

1.(5,4) or (-5,4).

2.Origin.

3.Clause. 1. Three quadrants.

Solve the chaos shed: when the dust is intermittently t when it is in motion, op=t; bq=2t,cq=8-2t.

d is (2,0), then od=2, cd=1

s pdq=s trapezoidal pocq-s pod-s dcq

5 2=(OP+CQ)*OC 2-OP*OD 2-CD*CQ 2, i.e. 5 2=[T+(8-2T)]*3 2-T*2 2-1*(8-2T) 2

Solution: t=1That is, when t=1, the area of the brother song triangle pdq is 5 2;

op=t=1;cq=8-2t=6.So, the point p is (0,1) and the point q is (3,6).

True or false, this can be wrong.

Correct solution. 1, -3 2 because it is the X-axis, y is O2, A, -(B+2) Because it is the X-axis, it means that the x does not change, and the y changes.

3. (3,3) Because the distance to the two coordinates is equal, it means that the point on the line y=x indicates that x and y are equal.

4. (3,4) The fourth quadrant about y symmetry shows that x changes, y does not change, and for far point symmetry shows that xy changes, following (3,-4) is the fourth limit.

5. The third quadrant Because it is the second quadrant, it means that a<0 -b>0 gets a<<0, so it is in the third quadrant.

1:a=

2:(a,-b-2)

4:(3,4) IV.

5:III. If you want to answer the explanation, please ask again, but remember to add points, hehe.

1.a.

The coordinates are (-a, -b-2).

The coordinates of are (3,3)(-3,3)(-3,3)(3,-3)4The coordinates of the symmetry point p(-3,4) with respect to the y-axis symmetry point are (3,4) and the coordinates of the symmetry point with respect to the origin point are in quadrants (3).

5.If the point p(a,-b) is in the second quadrant, then the point q(-ab,a+b) is in quadrant (fourth).

1. If the point is on the x-axis, it means that the ordinate of the change point is 0, so 2a+3=0;

2. The symmetry of the x-axis shows that the ordinate of the two points is the same, and the abscissa is the opposite number;

3, that is, the x-axis coordinates are equal to the y-axis coordinates;

4. The x-axis coordinates are opposite to each other; With regard to origin symmetry, that is, the x and y coordinates are opposites of each other;

5. In the second quadrant, a is less than 0, -b is greater than 0, b is less than 0, then -ab is less than 0, a+b is less than 0; It's in the third quadrant.

2. (a,-b-2)

4.(3,4) Fourth quadrant.

5.Third Quadrant.

1) The ordinate of the point on the x-axis is, a=-3 2

2) n coordinates (a,-b-2).

3)2-a=3a+6,a=-1.or 2-a=-(3a+6), a=-4 coordinates (3,3) or (6,-6).

4) Symmetry point coordinates about the y-axis (3,4) Symmetry point coordinates about the origin are in the fourth quadrant.

5)a＜0，-b＞0，b＜0

ab＜0 a+b＜0

q in the third quadrant.

1l is wrong! 1.-3/2 3.(3,3) or (6,-6) 3(3,4) Fourth quadrant.

a=b first three-quadrant angle bisector equation: y=x

a=-b bisector equation for the second quadrant angle: y=-x

1. Plane Cartesian coordinate system: There are two number axes in the plane that have a common origin and are perpendicular to each other, which constitute the plane Cartesian coordinate system. 2. Summary of knowledge points and question types:

1. Find coordinates from points. Two axes of numbers perpendicular to each other and with a common origin on the same plane form a planar Cartesian coordinate system, referred to as rectangular coordinates. In general, the two number axes are placed in the horizontal and vertical positions, and the orientation to the right and up is the positive direction of the two number axes, respectively.

The horizontal number axis is called the x-axis....

You have your own figure, draw it, a and d are in the first quadrant of the search, and b and c are on the coordinate axis.

1. OBC and ECD congruence. Because the angle boc = angle laughing pie ced = 90 angle ecd + angle bco = angle obc + angle bco = 90

So the angle ecd = angle obc and because the line segment bc = dc (square), they are congruent (aas).

2, d the abscissa is 3, the ordinate is 4, so the tansheng calendar d is (3, 4) 3, a abscissa is see figure.