What does lambda mean in plane geometry Fixed ratio fractional point formula, common side proportion theorem (proof) used in

PA = λ ab. first, the three points of PAB are collinear. Second, the length relationship between PA and ab. that is, the position of point a on the line segment

The definition of center of gravity, perpendicular center, inner center and outer center in Mathematics
Key picture

The outer center is the intersection point of the vertical bisectors of the three sides of a triangle, that is, the center of the circumscribed circle. The outer center theorem: the vertical bisectors of the three sides of a triangle intersect at a point. This point is called the outer center of the triangle. It is noted that the distance from the outer center to the three vertices of the triangle is equal

The definition and nature of center, center of gravity, perpendicular center, inner center, outer center and lateral center
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The point where the center of gravity, the center of perpendicularity, the outer center and the inner center of an equilateral triangle coincide is called the center
All parts of an object are subject to the action of gravity. From the effect, we can think that the action of gravity on all parts is concentrated at one point, which is called the center of gravity of the object
Some properties of the center of gravity are as follows
1. The ratio of the distance from the center of gravity to the vertex and the distance from the center of gravity to the midpoint of the opposite side is 2:1
2. The area of the three triangles composed of the center of gravity and the three vertices of the triangle is equal
3. The sum of squares of the distances from the center of gravity to the three vertices of the triangle is the smallest
4. In the plane rectangular coordinate system, the coordinate of the center of gravity is the arithmetic mean of the vertex coordinates, that is, its coordinate is ((x1 + x2 + x3) / 3, (Y1 + Y2 + Y3) / 3); the space rectangular coordinate system abscissa: (x1 + x2 + x3) / 3, ordinate: (Y1 + Y2 + Y3) / 3, vertical coordinate: (z1 + Z2 + Z3) / 3
5. The point where the product of distances from the inside to the three sides of a triangle is the largest
The intersection of the three heights of a triangle is called the perpendicular of the triangle
The vertical center of an acute triangle is inside the triangle
The perpendicular center of a right triangle is at the top of the right triangle
An obtuse triangle has its center perpendicular to the outside of the triangle
The perpendicular is the intersection of high lines
The center of perpendicularity is the intersection of three perpendicular lines from each vertex of a triangle to its opposite side
Triangle three vertices, three perpendicular feet, perpendicular center these seven points can get six four point circle
The heart is the intersection of the three bisectors of the triangle, that is, the center of the inscribed circle
The distance from the center to the side of a right triangle is equal to half of the sum of the two right angles minus the difference between the hypotenuses
The outer center is the intersection of the vertical bisectors of the three sides of a triangle
The center of the circumscribed circle of a triangle (the circle tangent to one side of the triangle and the extension lines of the other two sides) is called the Circumcenter. The Circumcenter is the intersection of the bisector of the inner angle of a triangle and its two non adjacent bisectors of the outer angle, and its distance to the three sides is equal. It is the intersection of the bisector of the outer angle of any two corners of a triangle and the bisector of the inner angle of the third corner, And it must be outside the triangle

Solve the following equation (1) 4x-3 (19-x) = 6x-7 (9-x) (2) 3y-14-1 = 5y-76

(1) 4x-3 (19-x) = 6x-7 (9-x), 4x-57 + 3x = 6x-63 + 7x, 6x = 6, x = 1 with coefficient of 1; (2) 3y-14-1 = 5y-76, 3 (3y-1) - 12 = 2 (5y-7), 9y-3-12 = 10y-14, x = - 1

How can the four numbers 9, 6, 4 and 5 be equal to 18

9*（6+4）/5=9*2=18

0.4x-3.8=7.4 1.6×5+2x=12.6 3.2x+2.8x=4.8 【x-5]x8=5.6 13【2x+3x】=169

0.4x - 3.8 = 7.40.4x = 7.4 + 3.80.4x = 11.2x = 11.2 ÷ 0.4x = 281.6 × 5 + 2x = 12.68 + 2x = 12.62x = 12.6 - 82x = 4.6x = 4.6 ÷ 2x = 2.33.2x + 2.8x = 4.86x = 4.8x = 4.8 ÷ 6x = 0.8(x - 5) × 8 = 5.6x...

How to calculate 3.14 × 43-3.14 × (- 56) + 3.14?

3.14×43-3.14×(-56)+3.14
＝3.14×（43+56+1）
＝3.14×100
＝314

The image of function y = KX + B is parallel to the image of function y = - 2x + 3, and the focus of function y is m (0. - 3)

The image of function y = KX + B is parallel to the image of function y = - 2x + 3,
So k = - 2,
Then y = - 2x + B,
The point of intersection with Y-axis is m (0. - 3),
So - 3 = 0 + B
That is, B = - 3
The expression is y = - 2x-3

A number plus 3, minus 4, then multiplied by 5, divided by 6, is exactly 100

(1) Let a number be X. according to the meaning of the question, we can get the following equation: (x + 3-4) × 5 △ 6 = 100, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; X-1 = 120, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; X = 121, (2) 100 × 6 △ 5 + 4-3, = 120 + 1, = 121, a: the number of a is 121

Thank you for your help. Known set a = {X / X}

The title is incomplete, and how about Au (CRB)?
If it is Au (CRB) = R
The solution is as follows:
Because B = {X / 1

What does lambda mean in plane geometry Fixed ratio fractional point formula, common side proportion theorem (proof) used in