Math Problem Pull a rectangle into a parallelogram and compare it with the rectangle, the perimeter

The perimeter remains the same, and the area decreases.

Because the length of each side is the same, the perimeter is the same; The base of the elongated parallelogram remains the same but the height is reduced, so the area is reduced;

Collapse. Math problem: Pull a rectangle into a parallelogram and compare it with the rectangle, the perimeter (c) and the area (b).

a.Added bReduced cThere is no change dCan't compare.

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Math problem: Pull a rectangle into a parallelogram and compare it with the rectangle, the circumference (c.)There is no change), area (b.).reduced).

The circumference does not change, because the length of the four sides does not change. The area becomes smaller because the area of the rectangle is the length multiplied by the width, and when it is drawn into a parallelogram, the length does not change, whereas the height of the parallelogram is not as high as the height of the rectangle, so the area becomes smaller.

The circumference remains the same, no matter how you pull it, his edges are all one length, and the circumference of the total length is of course the same;

The area is less, and the quadrilateral standing crooked is shorter than the quadrilateral standing straight, so students usually have to stand straight.

The circumference remains the same, and the area becomes smaller (the height becomes shorter, but the bottom remains the same).

The landlord still doesn't know, just ask.

The circumference remains the same, and the area becomes smaller.

Draw a rectangle into a parallelogram and compare it with a rectangle, the circumference (c) and the area (b).

A is equal and c becomes smaller (because the base is not equal in height).

Draw the rectangle into a parallelogram, with the same circumference and smaller area. Because the area of the rectangle = length x width, the area of the parallelogram = base x height, base = length, height and width. Conversely, if the parallelogram is stretched into a rectangle, the circumference remains the same and the area becomes larger.

The formula for the circumference of a parallelogram is c=2(a+b), where a and b are the side lengths of the parallelogram and c are the perimeter of the parallelogram. The circumference of the parallelogram is the sum of the side lengths of the parallelogram. A parallelogram is a closed figure composed of two sets of parallel line segments in the same two-dimensional plane.

The parallelogram rule

Parallelograms are generally named with the name of the figure plus four vertices. Note: When using letters to represent quadrilaterals, be sure to indicate each vertex in a clockwise or counterclockwise direction.

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel edges. The opposite or opposite sides of the parallelogram have the same length, and the opposite angles of the parallelogram are equal.

In contrast, a quadrilateral with only a pair of parallel sides is trapezoidal. The three-dimensional counterpart of a parallelogram is a parallelepiped.

A parallelogram is a closed figure composed of two sets of parallel line segments in the same two-dimensional plane, and is generally named after the shape name plus four vertices.

The opposite or opposite sides of a parallelogram have the same length and their opposite angles are equal, only a quadrilateral with a pair of parallel sides is trapezoidal and its three-dimensional counterpart is a parallelepiped. The shape is characterized by being parallel and equal to the opposite edges, which is easily deformed.

Pull a parallelogram into a rectangle, its circumference remains the same, and the area changes.

Stretch a parallelogram into a rectangle, the length of the four sides surrounding the figure does not change, so the circumference does not change, the length of the drawn rectangle is equal to the base of the parallelogram, but the width of the rectangle is not equal to the height of the parallelogram, so the area changes.

Parallelogram Area Formula:

1. The area formula of the parallelogram: the area is the base of the height, if h is used to represent the height, a represents the bottom, and s represents the area of the parallelogram, then the s parallelogram a*h.

2. The area of the parallelogram is equal to the product of the two groups of adjacent edges multiplied by the sinusoidal value of the included angle; If ab is used to denote the length of two groups of adjacent sides, to denote the angle between the two sides, and s is to denote the area of the parallelogram, then the parallelogram ab*sin is used for the parallelogram.

The area becomes smaller, and the perimeter remains the same.

The analysis process is as follows:

Pull a rectangle into a parallelogram as shown in the image below

From this, it can be obtained that after the rectangle is drawn into a parallelogram, the height becomes shorter, the bottom does not change, and according to the area formula of the two, the area becomes smaller. Since the rectangle is drawn into a parallelogram, the length of the four sides is unchanged, so the circumference of the rectangle is equal to the circumference of the parallelogram.

Because the frame of a square is pulled into a parallelogram.

After that, the length of the four sides does not change, then the length and sum of the four sides remain unchanged, that is, the circumference of its ascending megawidth does not change;

The height ratio of the parallelogram.

The width of the square is smaller, the bottom does not change, and the area of the parallelogram is smaller than the area of the original square

So the answer is: c, a

The area of the parallelogram will change, the area of the square and the area formula of the parallelogram will not change, so it will change, and the sum of the length of the circumstance will not change, and their shape will change, but their circumference will add up and remain the same.

A rectangle can be drawn into a parallelogram of the same size. (False) Analysis: Equal size includes equal area and circumference:

By drawing a rectangle into a parallelogram, enclosing each side of the rectangle and the parallelogram remains the same, but the height changes, and their circumference does not change, and the area changes.

Equal circumference: By drawing a rectangle into a parallelogram, each side of the rectangle and the parallelogram does not change, so their circumference does not change.

The area has changed: by pulling a rectangle into a parallelogram, each side corresponding to the rectangle and the parallelogram remains the same, but the height has changed, and their circumference has changed, and the area has changed.

Wrong. The area of the rectangle becomes smaller when it is drawn into a parallelogram.

The nature of the rectangle is: two diagonal lines are equal; The two diagonals are bisected with each other; The two sets of opposite sides are parallel to each other; The two sets of opposite sides are equal; All four corners are right angles; There are 2 axes of symmetry (4 for squares); It is unstable (easily deformed); The square of the diagonal length of the rectangle is the sum of the squares of the two sides; The quadrilateral obtained by sequentially connecting the midpoints of each side of the rectangle is a diamond.

Because when the rectangle is stretched, the width of the rectangle becomes a shorter side of the parallelogram, and the height of the parallelogram is a vertical line from top to bottom, and the line segment between two points is the shortest, so the height of the parallelogram is not longer than its side.

So the area is small.

When a rectangle is drawn into a parallel quadruple shape, the circumference will not change, but the area will definitely become smaller.

Because the rectangular wooden frame is drawn into a parallelogram, the length of the four sides does not carry the muffiness, and its circumference does not change;

But its height becomes shorter, so its area becomes smaller.

When it is still a rectangle, the area is the length times the width, that is to say, the height of the rectangle is the width, if it is elongated, the wide side must be tilted, the two long sides must be close together, if a vertex is done high line, at this time the original width will become the hypotenuse of the triangle, must be greater than the height of the right-angled side, that is to say, from the rectangle to the parallelogram, the height becomes shorter, the bottom edge does not change, the area will decrease.

When a rectangle is drawn into a parallelogram, the circumference does not change, but the area will always become smaller.

Because the rectangular wooden frame is drawn into a parallelogram, the length of the four sides does not change, and its circumference does not change;

But its height becomes shorter, so its area becomes smaller.

When it is still a rectangle, the area is the length times the width, that is to say, the height of the rectangle is the width, if it is elongated, the wide side must be tilted, the two long sides must be close together, if a vertex is done high line, at this time the original width will become the hypotenuse of the triangle, must be greater than the height of the right-angled side, that is to say, from the rectangle to the parallelogram, the height becomes shorter, the bottom edge does not change, the area will decrease.

Wrong. The rectangle is drawn into a parallelogram.

The posterior area becomes smaller.

The nature of the rectangle is: two diagonals.

Equal; The two diagonals are bisected with each other; The two sets of opposite sides are parallel to each other; The two sets of opposite sides are equal; The four corners are all right angles; There are 2 axes of symmetry.

squares with 4 bars); It has non-recoiling stability (easy to deform); The square of the diagonal length of the rectangle is the sum of the squares of the two sides; The quadrilateral obtained by sequentially connecting the midpoints of each side of the rectangle is a diamond.