Given the trapezoid ABCD, ad parallel BC, point E is the midpoint of CD, prove: trapezoid ABCD area = 2x triangle ABM area
Lengthening AE, lengthening line of BC at point E is easy to be proved as △ ade ≌ △ FCE ≌ AE = EF, s trapezoid ABCD = s △ AFB ∵ AE = EF ≌ s △ Abe = 1 / 2S △ Abf ≌ s △ Abe = 1 / 2S trapezoid ABCD
RELATED INFORMATIONS
- 1. In the trapezoid ABCD, AD / / BC, the point m is the midpoint of CD. Please guess the quantitative relationship between the area of trapezoid ABCD and the area of angle ABM
- 2. In the cuboid abcd-a1b1c1d1, ab = ad = 1, Aa1 = 2, M is the midpoint of edge CC1
- 3. In the isosceles trapezoid ABCD, the upper base ad = 2, the lower base = 8, and M is the midpoint of the waist ab. if MD is perpendicular to CD, the trapezoid area can be calculated
- 4. In rectangle ABCD, ab = 2BC, M is the midpoint of ab
- 5. The point m is on AB, the quadrilateral AMCD and the quadrilateral BMDC are parallelograms, and MD = MC. Prove that the quadrilateral ABCD is isosceles trapezoid
- 6. In the parallelogram ABCD, point E is the midpoint of AB, point F divides ad into AF: FD = 1:3, EF intersects AC at point m, then am: MC, etc In the parallelogram ABCD, point E is the midpoint of AB, point F divides ad into AF: FD = 1:3, EF intersects AC at point G, so what is Ag: GC equal to?
- 7. In the parallelogram ABCD, point E is the midpoint of AB side, point F is on the line ad, AF = 3DF, connects EF, intersects with diagonal AC at point m, then the value of MC: am is______ .
- 8. In the parallelogram ABCD, point E is the midpoint of AB side, point F is on the line ad, AF = 3DF, connects EF, intersects with diagonal AC at point m, then the value of MC: am is______ .
- 9. As shown in the figure, in the parallelogram ABCD, ad = 2Ab, point m is the midpoint of AD, and the degree of ∠ BMC is calculated
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- 11. As shown in the figure, in the cuboid abcd-a1b1c1d1, ab = ad = 1, Aa1 = 2, M is the midpoint of edge CC1. (II) prove that plane ABM is perpendicular to plane A1B1
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