As shown in the figure, in the triangle ABC, ad bisects ∠ BAC, BC intersects D, e and F are the points on AB and AC respectively. If the angle AED + ∠ AFD = 180 °, then de = DF
∵ - ACD + AFD = 180 °, a, e, D and F are in the same circle, and ∵ DAE = DAF, ∵ de = DF
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- 1. As shown in the figure, △ ABC, ad is the angular bisector, e and F are the points on AC and ab respectively, and ∠ AED + ∠ AFD = 180 °. What is the relationship between de and DF, and explain the reason
- 2. In △ ABC, eg is a point on AB, AE = BG, ed ∥ AC, FG ∥ BC to prove DF ∥ ab
- 3. If AB = 10, eg = 3, then Ag =?
- 4. In triangle ABC, ad bisects BC, De is the angle bisector of angle ADC, DF is the angle bisector of angle ADB
- 5. It is known that in the triangle ABC, ab = AC, D point is on AB, e point is on the extension line of AC, and BD = CE, connecting de with BC at f point No picture
- 6. In the triangle ABC, the extension of AB: AC = 3:5, BD = CE, de intersects the extension of BC at point F. if DF = 15, find the length of EF
- 7. It is known that in △ ABC, ab = AC, the straight line DF intersects AB at point D, BC at point E, and the extension line of AC intersects at point F, BD = CF
- 8. In the triangle ABC, ab = AC, D is the point on AB, e is the point on the extension line of AC, and BD = CE, de intersects BC in flight. The proof: DF = Fe
- 9. In triangle ABC, ad is the middle line, AE is the middle line of triangle abd, and angle bad = angle BDA
- 10. It is known that ad is the middle line of △ ABC, AE is the middle line of △ abd, ab = DC, ∠ bad = ∠ BDA I'm going to hand it in in the evening. Can anyone answer this question? It's not easy to draw pictures. You can draw by yourself. I only learned congruent triangles and axisymmetry. Please use my knowledge to solve it
- 11. As shown in the figure, △ ABC, ad is the angular bisector, e and F are the points on AC and ab respectively, and ∠ AED + ∠ AFD = 180 °. What is the relationship between de and DF, and explain the reason
- 12. In △ ABC, ab = AC, D is the point on BC, DF ⊥ AC is on fed ⊥ BC is on D, if ∠ AED = 150 °, calculate the degree of ∠ EDF?
- 13. In the triangle ABC, the angle ACB is equal to 90 degrees, the points E and F are on the edge AB, and the angle CEB = angle ECB, the angle CFA = angle FCA, and the degree of the angle ECF is calculated
- 14. As shown in the figure, triangle ABC is an equilateral triangle, D is a point on BC, angle ade = 60 degrees, CE bisects the outer angle ACF of triangle ACB, proving: ad = De
- 15. The angle ABC is an equilateral triangle, CE bisects the angle ACF, D is a point on BC, and the angle ade = 60 ° proves ad = De The angle ACF is the outer angle of an equilateral triangle
- 16. As shown in the figure, △ ABC is an equilateral triangle, D is a point on BC, and ∠ ade = 60? Intersection ∠ ACB bisector of external angle is at E
- 17. A number is both a multiple of 8 and a factor of 72. This number may be (), or ()
- 18. Three trucks carry 480 cases of apples. How many cases can five trucks carry?
- 19. A school organized 340 teachers and students to carry out long-distance inspection activities, with 170 Pieces of luggage. It plans to rent 10 cars of two models a and B. It is understood that each car of a can carry up to 40 people and 16 pieces of luggage, and each car of B can carry up to 30 people and 20 pieces of luggage. (1) please help the school to design all feasible car rental schemes; (2) if the rent of car a is 2000 yuan per car, the rent of car B will be reduced It's 1800 yuan per car. What's the best way to save car rental?
- 20. 0 is odd or even, nonnegative even sets such as and are represented by enumeration