Four equal straight lines from the two acute and two obtuse structure composed of quadrilateral
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No. 2
菱形
Plane quadrilateral with four equal sides. It's diagonal perpendicular to each other equally, its size is equal to the product of two diagonal half. North Korea screen "chief story": "He sat in 'living room' midday sun in a wooden chair, the chair has a leather upper diamond pillows do."
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No. 3
A group of adjacent sides equal parallelogram. Has the following properties: (1) 4 sides are equal; (2) two diagonal perpendicular to each other, and each split a pair of diagonal angle; (3) is the axial symmetry, where the two diagonal lines is its axis of symmetry.
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No. 4
Four sides of the diamond is equal to the square, is a special parallelogram, with all the characteristics of a parallelogram.
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Definition
菱形 定义
菱形 定义
A _set_ of adjacent sides of the parallelogram is a rhombus are equal
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Diamond Properties
菱形性质
菱形性质
菱形性质
菱形性质
Diagonal perpendicular to each other and split; Four sides are equal; Diagonal equal adjacent angles complementary; Each diagonal split a diagonal.
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Determine
菱形 判定
A _set_ of adjacent sides of the parallelogram is a rhombus are equal Dui Jiaoxian perpendicular to each other is diamond-shaped parallelogram Four sides of the quadrilateral is a rhombus are equal Quadrilateral connecting the midpoint of each side in turn obtained as the midpoint quadrilateral quadrilateral. No matter what changes the shape of the original quadrilateral, the shape of the midpoint quadrilateral is always a parallelogram. Diamond midpoint quadrilateral is a rectangle.
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Diamond-shaped area
菱形面积
Multiplied or divided by two diagonal side by high, or a diagonal half by the other diagonal
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The unique characteristics of diamond
By connecting the midpoint of each side of a rectangular diamond Square is a special diamond
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Nature
菱形 性质
Diagonal perpendicular to each other and split; Four sides are equal; Diagonal equal adjacent angles complementary; Each diagonal split a diagonal, Symmetry axis of the diamond is, where the axis of symmetry is the two diagonal lines, is also central symmetry, In the 60 ° diamond, the short diagonal is equal to side, long diagonal is √ 3 times the short diagonal. Diamond-shaped parallelogram with all nature.
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Determine
菱形 判定
A _set_ of adjacent sides of the parallelogram is a rhombus are equal Four sides of the quadrilateral is a rhombus are equal Are two diagonal axes of symmetry of the quadrilateral into a diamond Diagonal perpendicular to each other and split the quadrilateral is a rhombus. Quadrilateral connecting the midpoint of each side in turn obtained as the midpoint quadrilateral quadrilateral. No matter what changes the shape of the original quadrilateral, the shape of the midpoint quadrilateral is always a parallelogram. Diamond midpoint quadrilateral is a rectangle (diagonal perpendicular midpoint quadrilateral quadrilateral as a rectangle), the midpoint of the diagonal equal quadrilateral quadrilateral as a diamond. Diamond is the premise of the parallelogram defined, first of all it is a parallelogram, but it is a special parallelogram, so special is that "a group of adjacent sides equal", which increases the special nature and different from the parallelogram The determination method. Diamond is the center of symmetry.
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Diamond-shaped area
1 diagonal half of the product (as long as the diagonal of the quadrilateral are perpendicular to each other can be used); 2 = diamond by high-end area. 3 _set_ diamond side length a, an angle of x °, then the area formula is: S = a ² · sinx
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百科 Daquan
Diamond ifaombus Diamond [d head mbos: poM6] Square planar four sides are equal. Can be seen as parallel four-diamond Polygon (paral "e] o feet m) is a special case, in which adjacent side phase Etc., or two diagonal perpendicular, or diagonal split angle. Four Angles are right angles to the diamond is a square (sq ~). 'C3-3 r 1 up fried
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English Expression
n.: diamond, lozenge, rhombi, rhombus, figure with four equal sides and with angles that are not right angles, four-sided figure in the shape of a diamond
