In the triangle ABC, D and E are the points on the sides of AB and AC respectively, and De is parallel to BC, be and DC intersect at O, and the line AO and BC intersect at M

The intersection of AO and de and K
DK/CM=OD/OC=DE/BC=AD/AB
DK/BM=AD/AB
BM=CM

RELATED INFORMATIONS

1. As shown in the figure, in the parallelogram ABCD, AC and BD intersect at point O, and m and N are the midpoint of OA and OC respectively
2. It is known that in the parallelogram ABCD, the diagonal lines AC and BD intersect at O, m and N, which are the midpoint of OA and OC respectively. What is the relationship between BM and DN?
3. The height of the BC side of the parallelogram ABCD is 12 cm, and the height of the CD side is 15 cm. If the perimeter of the parallelogram ABCD is 72 cm, what is the area of the parallelogram in square cm?
4. As shown in the figure, the points m and N are on the sides BC and CD of the square ABCD respectively. It is known that the perimeter of △ MCN is equal to half of the perimeter of the square ABCD, then ∠ man=______ ．
5. Through the vertex a of parallelogram ABCD, make am ⊥ BC, an ⊥ CD, m and N are perpendicular feet. If ∠ man = 30 °, CD = 4cm, BC = 6cm, then am =? An =?
6. In the parallelogram ABCD, am ⊥ BC, an ⊥ CD, m and N are perpendicular feet. If AB = 13, BM = 5 and MC = 9, the length of Mn is______ ．
7. M. N are the points on the sides of BC and CD of parallelogram ABCD respectively, and Mn is parallel to BD. it is proved that s triangle adn = s triangle ABM
8. Parallelogram ABCD, ab = BC, ∠ B = 60 °, ACD = 60 °, M is the point on BC, n is the point on CD, ∠ amn = 60 ° asks the relation between AM and Mn
9. In the parallelogram ABCD, am ⊥ BC, an ⊥ CD, m and N are perpendicular feet. If AB = 13, BM = 5 and MC = 9, the length of Mn is______ ．
10. In the parallelogram ABCD, am is perpendicular to BC and an is perpendicular to CD. It is proved that am: ab = Mn: AC
11. It is known that in the triangle ABC, D and E are points on AB and AC respectively, and de / / BC, be and CD intersect at point O, and the extension line of Ao intersects with BC at point M=
12. It is known that: as shown in the figure, in △ ABC, ∠ C = 90 °, cm ⊥ AB in M, at bisection ∠ BAC intersects cm in D, intersects BC in T, de ∥ AB through D intersects BC in E, verification: CT = be
13. It is known that: as shown in the figure, in △ ABC, ∠ C = 90 °, cm ⊥ AB in M, at bisection ∠ BAC intersects cm in D, intersects BC in T, de ∥ AB through D intersects BC in E, verification: CT = be
14. As shown in the figure, in the Pentagon ABCD, ab = CD = de = BC + AE = 2, angle B = angle e = 90 degrees, find the area of the Pentagon ABCD De Level is not enough, no picture
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19. As shown in the figure, in the Pentagon ABCDE, BC = 4, CD = 4-ab, AE = de = 6, AE ⊥ AB, de ⊥ CD______ ．
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