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Using the 4 × 4 grid as shown in the figure, make a square with an area of 8 square units, and then express the real number on the number axis 8 and- 8．
As shown in the figure,
A square with an area of 10 square centimeters is made by using a 4 × 4 square grid, and then the real number is represented on the number axis 10 and − 10．
A is-
10, B is
10．
How to draw a square with an area of 5 square units by using the unit square of 3 times 3
Chord diagram
Make a square with an area of 17 square units by using a 5 * 5 square grid
Ssquare = side length? 2 = 17 = (√ 17) 2 = 4? 2 + 1
That is to say, the length of the hypotenuse of a right triangle with right angle side lengths of 4 and 1 is √ 17,
Take this hypotenuse as the side length of the square!
Use the 4 * 4 square as shown in the figure to make a square with square unit area, and then express the real number - 8 on the number axis Is there something wrong I cannot understand you
I don't know the picture, so set up a coordinate system, connect (2,0) and (0,1), make a square, which is in line with the meaning of the question
A square with an area of 10 square centimeters is made by using a 4 × 4 square grid, and then the real number is represented on the number axis 10 and − 10．
A is-
10, B is
10．
A square with an area of 10 square centimeters is made by using a 4 × 4 square grid, and then the real number is represented on the number axis 10 and − 10．
A is-
10, B is
10．
Exploration and Innovation: connect the midpoint of each edge of the 4 * 4 square in turn to get a square, as shown in the shadow part of the figure, and calculate the area and side length of the square Come on, I can't do it on this one!!!!!! Another 30 minutes!!! One
The area of the square is half of that of the original square. The area of the original square is 4 × 4 = 16,
Then the area of the new square is 16 ￣ 2 = 8, and its side length is the square root of the area, that is √ 8 = 2 √ 2
According to the Pythagorean theorem, the side length of the new square = √ (2 ^ 2 + 2 ^ 2) = 2 √ 2, and the area = (2 √ 2) ^ 2 = 8
Connect the midpoint of each edge of a 4 × 4 square (the side length of the smallest square in the grid is 1) to get a square. As shown in the shadow part of the figure, calculate the area and side length of the square
Square area = 4 × 4-4 × 1
2 × 2 × 2 = 8; the side length of a square=
8=2
2．
As shown in the figure, if the side length of the four small squares on the checkerboard paper is 1, then the sum of the areas of the three small sectors in the shadow part of the graph is - --- the result retains π
As shown in the figure,
The area of the shadow in the small square at the bottom left is equal to that of the pink one
The area of the small fan in the shadow part of the small square on the upper right is equal to that of the small sector painted green
The sum of the areas of the three small sectors in the shadow part of the figure is as follows:
π/4+π/4 *1/2=π/4+π/8=3π/8
RELATED INFORMATIONS
- 1. 4x4 square, draw the root 13 2. How many different values of the length of the line segment are there among all the line segments with the grid point as the end point (only write the conclusion)
- 2. Draw a square with an area of 5 in a 4 * 4 grid
- 3. All of them are symmetrical in shape and size
- 4. How to divide a right angle trapezoid into four congruent figures
- 5. Divide the 5 * 6 checkerboard into 4 blocks with the same shape and size, and each block has a small circle □ □ □ □ □ □ ● ● □ □ □ □ □ □ ● □ □ □ □ □ □ □ □ □ □ □ □ □ □ ● In fact, this is very similar to the 6 * 6 square figure you solved, but I still can't think of it after a long time,
- 6. 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?
- 7. As shown in the figure, in the square grid, if the side length of each small square is 1, the number of sides with irrational side length in triangle ABC on the grid is () A. 0 B. 1 C. 2 D. 3
- 8. For your conjecture of the relationship between a square + b square and C square, choose one of them and prove it by Pythagorean theorem
- 9. How to prove that a triangle with three sides a + b greater than C is an acute triangle
- 10. The tangent of the inclination angle of the tangent of the curve y = 1 / 4 √ x ^ 3 at x = 1 is The curve is 1 / 3 of X under the fourth root sign
- 11. As shown in the figure, the side length of the small square in the grid is 1, the three vertices of the triangle ABC, and the three vertices of the triangle ABC are all on the grid points. Find the height on the AB side of the triangle ABC (the figure is a 3 × 3 square, and the three sides of the square are root 2 and 2 root signs 13)
- 12. Why can only represent two directions of an object's motion in the velocity and time image of uniformly variable speed linear motion? Can't the velocity be expressed in multiple directions
- 13. Is the average velocity equal to the instantaneous velocity in any period of time of uniform linear motion? Is that correct? There is another question—— Is the displacement equal to the distance in any time of uniform linear motion? Is that correct?
- 14. Vehicle a and vehicle B pass the same displacement along the straight road. Vehicle a moves at the speed of 40 km / h in the first half of displacement and 60 km / h in the second half of displacement; vehicle B moves at the speed of 40 km / h and 60 km / h in the second half of the displacement （ ） A. . V A= . V b B. . V a ＞ . V b C. . V a ＜ . V b D. Can't be sure
- 15. Is velocity and velocity a ratio of displacement to time and a ratio of distance to time
- 16. When a body moves in free fall, the average velocity in a certain displacement is equal to half of the sum of the initial velocity and the final velocity,
- 17. For an object moving in a straight line with uniform speed change, the instantaneous velocity at the intermediate moment and the instantaneous velocity at the intermediate displacement are calculated
- 18. It is proved that the instantaneous velocity at the midpoint of displacement is VX / 2 = √ VO2 + vt2 / 2 in the linear motion with uniform speed change
- 19. The relationship between physical problems (displacement of uniform linear motion) and velocity The speed of a car before braking is 90 km / h, and the acceleration obtained by braking is 10 m / S 2 (1) The sliding distance within 10s after the start of braking Thank you very much!
- 20. What do acceleration and time images show Speed and time indicate acceleration. Distance and time are speed. What about acceleration and time?