As shown in the figure, in square ABCD, ∠ AFD = 65 ° AF and BD intersect at E
∵∠AFD=65°,AB‖CD
∴∠BAE=65°
ABCD is a square
∴BA=BC,∠ABE=∠CBE=45°
∵BE=BE
∴△ABE≌△CBE
∴∠BEC=∠BEA
∵∠BEA=180°-65°-45°=70°
∴∠BEC=70°
RELATED INFORMATIONS
- 1. As shown in the figure, in rectangular ABCD, AF ⊥ BD, perpendicular foot is f, ∠ DAF = 3 ∠ BAF, calculate the degree of ∠ fac
- 2. It is known that e is the midpoint of the waist BC of the trapezoidal ABCD, and ab + CD = ad
- 3. For the isosceles trapezoid ABCD, ad is parallel to BC, ad = 2cm, BC = 8cm, e is the midpoint of the lumbar CD, be divides the trapezoid into two parts, the perimeter difference is 3cm, and calculates the length of ab I only have the second grade of junior high school, and I am learning the median line of triangle and trapezoid. I hope you can help me solve the problem according to the direction of this theorem
- 4. In trapezoidal ABCD, AD / / BC, ab = DC, angle ABC = 80 °, e is the point on lumbar CD, connecting be, AC and AE, if angle ACB = 60 ° and angle EBC = 50 ° Find the degree of the triangle EAC
- 5. As shown in the figure, in the known square ABCD, e is the point on ad, BF bisects ∠ EBC intersects DC at point F
- 6. It is known that in square ABCD, point E is the point above ad, BF bisects ∠ EBC, intersects DC at point F, and the proof is: be = AE + CF
- 7. Geometry e is a point of ad on the edge of square ABCD, BF bisects ∠ EBC intersects DC with F, and proves that EB = AE + CF
- 8. Trapezoid ABCD AB parallel DC ad = BC AE, BF are the height of two waist respectively, and AE, BF intersect with point o Let BAE = x and C = y find out and prove the relation between X and y
- 9. In the quadrilateral ABCD, ad ≠ BC, ab = DC, E on the side of BC, AE = De, BF = EC (1) Judge the shape of quadrilateral ABCD and prove it (2) If AB = ad = 10, BC = 22, find the area of quadrilateral ABCD
- 10. It is known that in rectangular ABCD, ab = 2CB, point E is on DC, and AE = AB, then ∠ EBC=___ .
- 11. As shown in the figure, in square ABCD, ∠ DAF = 25 °, AF intersects diagonal BD at e, intersects CD at F, then ∠ bec=______ Degree
- 12. As shown in the figure, in square ABCD, ∠ DAF = 25 °, AF intersects diagonal BD at e, intersects CD at F, then ∠ bec=______ Degree
- 13. As shown in the figure, e and F are two points on the diagonal AC and BD of rectangle ABCD, and AE = DF. Prove the congruent triangle COF of triangle BOE
- 14. As shown in the figure, e and F are two points on the diagonal BD of the quadrilateral ABCD, AE ‖ CF, AE = CF, be = DF
- 15. As shown in the figure, e and F are two points on the diagonal BD of the quadrilateral ABCD, AE ‖ CF, AE = CF, be = DF
- 16. As shown in the figure, in the quadrilateral ABCD, ab = CD, BF = De, AE ⊥ BD, CF ⊥ BD, e and f respectively. (1) prove: △ Abe ≌ △ CDF; (2) if AC and BD intersect at point O, prove: Ao = Co
- 17. Square ABCD, AE + CF = EF, verification ∠ EDF = 45 degree
- 18. As shown in the figure, in square ABCD, ∠ EDF = 45 ° and the two sides of ∠ EDF intersect AB and BC respectively at e and F. try to explore the quantitative relationship between AE, EF and CF, and prove your conclusion
- 19. If the perimeter of a diamond is 8 cm and the height is 1 cm, the ratio of the degrees of the two adjacent angles of the diamond is 0——
- 20. If the perimeter of the diamond is 8 cm and the height is 1 cm, what is the degree ratio of the two collar angles of the diamond?