Joke Collection Website - Talk about mood - As shown in figure 1, in trapezoidal ABCD, AD∑BC, AD=2, BC = 4. AB = 2，CD = 22。 (1) Would you please judge whether this trapezoid is a right-angled trapezoid? Tell me about yours.
As shown in figure 1, in trapezoidal ABCD, AD∑BC, AD=2, BC = 4. AB = 2，CD = 22。 (1) Would you please judge whether this trapezoid is a right-angled trapezoid? Tell me about yours.
Solution: Solution: (1) If point D is DE∨AB and BC is in E, then ∠ B = ∠ DEC.
∫AD∨BC，DE∨AB，
∴ quadrilateral Abed is a parallelogram,
∴DE=AB=2,BE=AD=2，
∴EC=BC-BE=4-2=2.
∫EC2+DE2 = 4+4 = 8 = CD2，
∴∠DEC=90，
∴∠B=∠DEC=90，
∴ trapezoidal ABCD is a right-angled trapezoid;
(2) The division method is as follows:
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