As shown in the figure, CD is the height on the hypotenuse of RT △ ABC, e is the midpoint of AC, and the extended line of ED intersects CB at point F. prove BD * CF = CD * DF

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• 1. As shown in the figure, AP is the height of △ ABC, point DG is on AB and AC respectively, point E F is on BC, quadrilateral defg is rectangular, AP = h, BC = a, let DG = x, the area of rectangular defg is y, try a, h, X to represent Y
• 2. In △ ABC, if B = 5, angle B = 45 ° and Tana = 2, then Sina =?, a =?
• 3. In △ ABC, if B = 5, ∠ B = π 4, Tana = 2, then Sina = 1___ ；a= ___ ．
• 4. In △ ABC, if Tana = 2, then Sina =, a, √ 5 / 5, B, 2 √ 5 / 5, C - √ 5 / 5, D-2 √ 5 / 5
• 5. In RT △ ABC, ∠ C = 90 °, AC = 3, BC = 2, Tana = cotb=
• 6. This is a problem of mathematical geometry. How to find the degree of ∠ a in triangle △ ABC AB = AC BC = BD ad = de = EB?
• 7. Mathematical geometry problem -- in the isosceles triangle ABC, ab = AC, the perpendicular of edge AB intersects with the straight line where AC lies In the isosceles triangle ABC, ab = AC, the acute angle obtained by the intersection of the middle perpendicular of side AB and the line where AC is located is 40 degrees, then the degree of ∠ B is?
• 8. In the isosceles triangle ABC, ab = AC, ad is the middle line on the bottom edge
• 9. In the isosceles triangle ABC, ab = AC = 5, then the diameter of the circumcircle of the triangle ABC is________ . I think the problem is similar to the lack of conditions,
• 10. It is known that in △ ABC, ab = AC, ⊙ o with ab as diameter intersects BC at D and AC at e. it is proved that △ Dec is an isosceles triangle Such as the title
• 11. In triangle ABC, AC = BC, angle c = 90 degrees, points D and E are on BC and ab respectively, triangle ACD is congruent triangle AED
• 12. As shown in the figure, we know that D and E are two points on the side of AB and AC in △ ABC, ab = AC, please add another condition______ To make △ Abe ≌ △ ACD (just write one)
• 13. It is known that in the triangle ABC, ad and be are the heights on the sides of BC and AC, respectively. A vertical line AB passing D intersects F, B is intersected g, and the extension line of AC intersects H
• 14. As shown in the figure, in positive △ ABC, points m and N are on AB and AC respectively, and an = BM, BN and cm intersect at point O. if s △ ABC = 7 and s △ OBC = 2, then bmba = 1___ ．
• 15. As shown in the figure, in △ ABC, am and cm are bisectors of angles respectively. Through M, make de ‖ AC. verify: AD + CE = De
• 16. As shown in the figure, in the RT triangle ABC, there are two moving points P and Q, which start from point C and move to a at 3cm / s along CB Ba and B at 4cm / s along CA ab. when one point reaches the end point, the two points stop moving at the same time If t exists, the area of triangle PCQ is half that of triangle ABC. If t does not exist, please explain why
• 17. It is known that in △ ABC, ∠ ACB = 90 ° AC = BC, the straight line Mn passes through point C, and ad ⊥ Mn is in D, be ⊥ Mn is in E
• 18. It is known that in △ ABC, ∠ ACB = 90 ° AC = BC, the straight line Mn passes through point C, and ad ⊥ Mn is in D, be ⊥ Mn is in E
• 19. As shown in the figure, in △ ABC, ∠ C = 90 degrees, ad is the bisector of ∠ cab, CD = 4cm, then the distance from point d to AB is
• 20. As shown in the figure: in △ ABC, ∠ C = 90 ° ad bisection ∠ cab intersects BC at point D, ab = 10, AC = 6, find the distance from D to ab