In the trapezoid ABCD. AD / / BC (AD is greater than BC). AB = CD, ∠ B = 60 °, ad = 15cm, BC = 49cm, then the waist length of the trapezoid is_____ cm.
Through a as AE ∥ CD intersecting BC in E, get parallelogram AECD, deduce ad = CE, AE = CD = AB, calculate be length, get equilateral triangle Abe, deduce AB = be. Through a as AE ∥ CD intersecting BC in E, ∥ ad ∥ BC, AE ∥ CD, ∥ quadrilateral AECD is parallelogram, ∥ ad = CE = 15cm, AE = CD = AB, ∥ be = bc-ce = 49cm-15c
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- 1. As shown in the figure, in the square ABCD, e is the midpoint of AB side, G and F are the points on AD and BC side respectively. If Ag = 1, BF = 2, ∠ GEF = 90 °, then the length of GF is______ .
- 2. In the quadrilateral ABCD, ab = DC, m and N are the midpoint of AD and BC, and GH is vertical to Mn, intersect AB and CD at point G respectively, and verify: ∠ AGH = ∠ DHG First, in the first row, are triangles similar?
- 3. It is known that in the quadrilateral ABCD, ab = DC, e and F are the midpoint of AD and BC respectively, GH ⊥ EF intersects AB and DC at g, h and O respectively, which are perpendicular feet It is known that in the quadrilateral ABCD, ab = DC, e and F are the midpoint of AD and BC respectively, GH ⊥ EF intersects AB and DC at g, h and O respectively, which are perpendicular feet
- 4. In the parallelogram ABCD, ab = ad, angle B = 60 degrees, m and N are the midpoint of AD and BC respectively, are Mn and AC perpendicular to each other? Why
- 5. In the parallelogram ABCD, 2Ab = ad, angle B = 60 degrees, m and N are the midpoint of AD and BC respectively, are Mn and AC perpendicular to each other? Why? Urgent!
- 6. As shown in the figure, rectangular ABCD, e is a point on AB, fold the triangle CEB along CE, let Ge intersect DC at point F, if ∠ EFD = 80 °, calculate the degree of ∠ BCE
- 7. In isosceles trapezoid ABCD, AB / / DC, CE / / DA, known AB = 12, DC = 8, Da = 6, find the perimeter of △ CEB
- 8. As shown in the figure, in the isosceles trapezoid ABCD, ab ∥ CD, CE ∥ Da, known AB = 8, DC = 5, Da = 6, calculate the perimeter of △ CEB
- 9. As shown in the figure, in the isosceles trapezoid ABCD, ab ∥ CD, CE ∥ Da, known AB = 8, DC = 5, Da = 6, calculate the perimeter of △ CEB
- 10. As shown in the figure, take two points E and F on the diagonal AC of the parallelogram ABCD, if AE = cf. verify: ∠ AFD = ∠ CEB
- 11. In trapezoidal ABCD, ad is parallel to BC, AB is equal to 13cm, BC is equal to 18cm, CD is equal to 15cm, ad is equal to 4cm, find the area of s trapezoidal ABCD
- 12. As shown in the figure, in the trapezoidal ABCD, if ad ‖ BC, ∠ B = 72 °, C = 36 °, ad = 6cm, BC = 15cm, then CD=______ cm.
- 13. As shown in the figure, in ladder ABCD, ad ‖ BC, ∠ B = 80 °, C = 50 °, ad = 2, BC = 5. Find the length of waist ab
- 14. As shown in the figure, in the ladder ABCD, AD / / BC,
- 15. Known: as shown in the figure, in trapezoidal ABCD, ad ‖ BC, ∠ B = 60 °, C = 30 °, ad = 2, BC = 8 AB.CD It's a long story
- 16. As shown in the figure, in the trapezoidal ABCD, ad ‖ BC, ab = DC, m and N are the midpoint of AD and BC respectively, ad = 3, BC = 9, ∠ B = 45 °. Find the length of Mn
- 17. It is known that, as shown in the figure, square ABCD, e, m, F and N are the points on ad, AB, BC and CD respectively. If EF ⊥ Mn, we prove that EF = Mn
- 18. In the isosceles trapezoid ABCD, AD / / BC, ab = CD, e, N, F, m are the midpoint of edge AB, BC, CD, Da respectively, and EF ^ 2 + Mn ^ 2 = 8 Find the length of the diagonal of this isosceles trapezoid
- 19. In trapezoidal ABCD, AD / / BC, ∠ B = 40 ° and ∠ C = 50 °, e, m, F and N are the midpoint of AB, BC, CD and Da respectively, and EF = a, Mn = B 6. In trapezoidal ABCD, AD / / BC, ∠ B = 40 ° and ∠ C = 50 °, e, m, F and N are the midpoint of AB, BC, CD and ad respectively, and EF = a, Mn = B, then what is the length of BC? (expressed by the algebraic formula of a and b)! It's a process! hurry up!
- 20. As shown in the figure, in the trapezoidal ABCD, ad ∥ BC, ∠ B = 30 ° and ∠ C = 60 ° e, F, m and N are the midpoint of AB, CD, BC and Da respectively. Given BC = 7 and Mn = 3, then EF=______ .