Line Mn and two points AB on the opposite side of Mn find a point P in Mn to make pa-pb maximum

(1) Make a symmetric point c about Mn
(2) Make a straight line BC. The intersection point of line BC and Mn is point P

In △ ABC, points D and E are points on edge AC and ab respectively, satisfying CD / DA = AE / EB = 1 / 2, vector de = λ vector BC + ν vector Ca, then λ - ν=

In fact, De is the trisection point of a triangle. One is above and the other is below, and the vector De is parallel and equal to 1 / 2 vector cf. point F is the trisection point of another vector AB, and then the parallel line of AC is drawn by F to intersect BC at point G. We can know that de = 1 / 2cf, vector CD = 1 / 3aC, vector CG = 2 / 3CB, so CF = (-- 2 / 3bC + 1 / 3CA), so de = (-- 1 / 3bC + 1 / 6ca), that is, λ = -- 1 / 3, ν = 1 / 6, λ - ν = negative 1 / 2

The length of the hexagon is 10 cm, and the distance between the sides and the center is equal to the area

The length of the hexagon is 10 cm, the distance between the sides and the center is 5 √ 3 cm, and the area is 150 √ 3 square cm

The areas of regular triangles, squares and regular hexagons with radius R are

The areas of regular triangle, square and hexagon with radius R are
S positive three = √ 3R * (R + R / 2) / 2 = 3 √ 3R 2 / 4
S positive four = (R * r / 2) * 4 = 2R
S positive six = (R * rsin60 ° / 2) * 6 = 3 √ 3R / / 2

In the area formula of regular hexagon, if the side length is 2, what is its area?

It is divided into six equilateral triangles with side length 2. Because the area of an equilateral triangle with side length 2 is root 3, the area of a regular hexagon is 6 times that of a square root 3

As shown in the figure, a small circle rolls along the edge of a Pentagon. If the length of each side of the Pentagon is equal to the circumference of the small circle, then when the small circle rolls to the original position, the number of turns of the small circle itself is () A. 4 B. 5 C. 6 D. 10

Because each side of the Pentagon is equal to the circumference of the small circle, all the small circles roll exactly one cycle on each side and five cycles on the five sides. Because each time the small circle rolls from one side of the Pentagon to the other side, it will flip 72 degrees, so the small circle rolls around the five corners for a total of six cycles
Therefore, C

The side length of a square is 1cm, and the diameter of a circle is 1cm. What is the ratio between the circumference of a square and that of a circle? What is the area ratio of a square to a circle? What is the ratio? π when 3.14, the ratio is 200 to 157, the area ratio is 200 to 157, and the ratio is 200 to 157,

The perimeter is expressed as C and the area as S
C positive: C circle = (4 * 1): (π * 1) = 4: π = 4: 3.14 = 200:157
S positive: s circle = (1 ^ 2): (π * 0.5 * 0.5) = 1:0.25 π = 4: π = 4:3.14 = 200:157

3-100

3.14 6.28 9.42 12.56 15.7 18.84 21.98 25.12 30.6 31.4 34.54 37.68 40.82 43.96 47.1 50.24 53.38 56.52 59.66 62.8 65.94 69.08 72.22 75.36 78.5 81.64 84.78 87.92 91.06 94.2 97.34 100.48 103.62 106.76 109...

Because the PI is the quotient of the circumference divided by the diameter, so the Pi of the big circle is larger than that of the small circle, right

Of course not. Pi is a fixed number, which is 3.14

The Pi of a small circle is smaller than that of a large circle______ (judge right or wrong)

According to the meaning of PI, the circumference of a circle varies with its diameter, but the ratio of PI remains unchanged;
So the answer is: wrong

Line Mn and two points AB on the opposite side of Mn find a point P in Mn to make pa-pb maximum