The area of a rectangle and square is 1225cm2, and the area of a circle is 1256cm2? Which is the smallest? If the areas of the three figures are equal, can you find the size relationship between their girths?

The area of a rectangle and square is 1225cm2, and the area of a circle is 1256cm2? Which is the smallest? If the areas of the three figures are equal, can you find the size relationship between their girths?

The area of a rectangle and a square is 1225cm2, and the area of a circle is 1256cm2;
When the areas of rectangle, square and circle are equal, the relationship between the length of their perimeter is reversed, that is, rectangle > square > circle

Put 36 small squares of 1 square centimeter into different rectangles or squares. What is the perimeter and area of each figure?

Long, 26, 36. Positive, 24, 36

In a 2 × 4 grid paper, the three vertices of ∠ ABC are all on the vertices of a small square, which is called a lattice triangle. Please make the def of another lattice triangle, How many triangles are there that make def congruent ABC?

If a figure is turned over along a straight line, the parts on both sides of the straight line can completely coincide. Such a figure is called an axisymmetric figure. It is said that it is a figure, not the specified △ ABC. Then we can draw a conclusion that as long as the figure is folded in half and the figures on both sides of the broken line can completely coincide, then it conforms to the meaning of the question
The first △ AEF symmetry axis ad coincides with △ ABC, and other points in the fold: △ bag, △ GCB, △ FDC, △ DBH also meet the requirements
Add up to get 5

As shown in the figure, each small square in the checkerboard paper is a square with a side length of 1 unit, and the vertices of RT △ ABC are on the grid points. After establishing the plane rectangular coordinate system, the coordinates of point a are (- 6,1), the coordinates of point B are (- 3, 1), and the coordinates of point C are (- 3, 3) (1) Rotate the original RT △ ABC clockwise about point O to obtain RT △ a1b1c1. Try to draw the figure of RT △ a1b1c1 on the graph (2) Find the area swept by line BC (3) Find the path length from point a to A1

(1) The drawing is as follows:
(2) According to the figure, the area swept by line BC = 90 × oc2
360π-90×OB2
360π=2π．
(3) According to the coordinate diagram, Aa1 = Ao × π
4=
37π
4．

As shown in the figure, in a 4 × 4 square grid, the vertices of △ ABC and △ def are on the vertices of a small square with side length of 1. Fill in the blanks: ∠ ABC = ∠______ ，BC=______ .

It can be calculated that the edges of △ ABC are 2 and 2 respectively
2，2
5. The edges of △ def are
2，2，
10. Then the ratio of the three groups of corresponding edges is equal, then △ ABC ∽ △ def. Thus, we get ∠ ABC = ∠ def. Because the side length of a small square is 1, then BC = 2 can be obtained according to Pythagorean theorem
2．

In the grid paper as shown in the figure, each small square is a square with one unit side length, and the three vertices of △ ABC are on the grid points (the vertex of each small square is called the grid point) (1) If a rectangular coordinate system is established so that the coordinates of point B are (- 5,2) and the coordinates of point C are (- 2,2), then the coordinates of point a are; (2) Draw △ a2b2c2 after △ ABC rotates 90 ° clockwise around point O, and calculate the swept area of line BC (because no graph o is the origin coordinates B (- 5,2), C (- 2,2), a (- 4,4))

The area swept by line BC is: the area difference of 90 degree sector with ob as radius minus 90 degree sector with OC as radius

As shown in the figure, in the square grid, the side length of each small square is 1, and the three vertices of △ ABC are on grid points Try to judge the shape of △ ABC and explain the reason

AB^2 = 13
BC^2 = 52
AC^2 = 65
AC^2 + BC^2 = AC^2
The triangle is a right triangle (the bottom corner is a right angle)

As shown in the figure, the side length of each small square in the square grid is 1, and the vertex of each small square is called a lattice point Can an appropriate right triangle be spliced outside △ so that the figure is an isosceles triangle with ab as the waist and the other vertex on the grid point. Please draw all cases and find the length of the bottom edge. (the figure is not easy to draw, it is a square lattice of 8 * 8. A is in (3,8) → from left to right, from bottom to top. B is at (0,4), C is at (3,4), 4) Please give a detailed answer and explain the coordinates of the points! (the other two I can't →) my answer is four, two of which I can, and two, one bottom 2 √ 5, the other √ 10,

There are 6 vertices (red), I only draw the bottom edge (blue), there are 5 bottom edge lengths:
√2,   6,    5√2,  8,   4√5.

As shown in the figure, if the side length of each small square in the square grid is 1, then in the triangle ABC on the grid, the side length is irrational___________ Point a is in the second row of the first column, point B is in the sixth row of the second column, and point C is in the fourth row of the fifth column

AB = √ [(2-1) 2 + (6-2) 2] = √ 17. BC = √ 13. AC = √ 20

As shown in the figure, if the side length of each small square in the square grid is 1, then in the triangle ABC on the grid, the number of sides with irrational length is______ One

According to the meaning of the title:
AC=
42+32=5，
AB=
1+52=
26，
BC=
32+22=
13，
So there are two sides with irrational length