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In the triangle ABC, ad is the middle line on the edge of BC, ad bisects ∠ a, and makes de ⊥ AB, DF ⊥ AC through point D. prove: be = CF
Landlord, I hope you can listen to my advice, don't trust your task to Baidu, let others solve it for you
If you really encounter difficulties in learning, it's normal, you should also actively ask questions. However, the correct way to ask questions should be: give the original question, explain your own ideas, explain where you encounter difficulties, and let others help you in view of this difficulty, instead of giving the original question and letting others answer it all
Learning is mainly on your own. For your own sake, and for the good atmosphere that Baidu knows, please learn to solve the problems within your ability. Composition needs to be conceived and created by yourself. Problems need to be thought and solved by yourself. If you don't understand, you can consult your classmates or teachers. This is the duty that a student should do
I hope you don't answer this question for the sake of points!
Almost all the students who ask this kind of questions are offered the original questions, and let others answer all the questions, or ask some very simple sesame questions. This is not the right attitude and method to ask questions. If you answer such questions, it can be said that it is directly harmful to others and indirectly harmful to yourself
Baidu knows that it is like a small society. Answering such a question will only have a bad impact on the ethos Baidu knows, and the bad ethos will make everyone uncomfortable. Everyone is criticizing the ethos of this society. If we try to be self disciplined, we can make the ethos better and enjoy a better environment
I have answered this question before. If you think about it carefully, you really shouldn't. So let's write down this paragraph and encourage each other
Baidu know to provide such a problem classification, is really the harm to students!
As shown in the figure, it is known that in △ ABC, ∠ C = 90 ° ad bisects ∠ BAC, ed ⊥ BC intersects AB at e, DF ∥ AB intersects AC at F. it is proved that the quadrilateral afde is a diamond
It is proved that: ∵ C = 90 ° ed ⊥ BC intersects AB with E, ∵ de ∥ AC, ∵ DF ∥ AB, ∵ quadrilateral AEDF is parallelogram. Ad bisects ∵ BAC, ∵ ead = ∵ fad. And
RELATED INFORMATIONS
- 1. RT △ ABC, ∠ a = 90 °, the bisector of ∠ B intersects AC at D, the vertical line from a as BC intersects BD at e, and the bisector from D as DF ⊥ BC
- 2. In △ ABC, ab = AC, ad ⊥ BC is at point D, and points E and F are the midpoint of AB and AC sides respectively. When △ ABC satisfies what conditions, the quadrilateral AEDF is a square
- 3. It is known that: as shown in the figure, in △ ABC, ∠ BCA = 90 °, D and E are the midpoint of AC and ab respectively, and point F is on the extension line of BC, and ∠ CDF = ∠ A. (1) prove that the quadrilateral decf is a parallelogram; (2) bcab = 35, the perimeter of quadrilateral ebfd is 22, and calculate the area of quadrilateral decf. (Note: the middle line on the hypotenuse of a right triangle is equal to half of the hypotenuse.)
- 4. If AB is 1:4 to de, the sum of the circumference of the equilateral triangle ABC and the square defg is 76 cm, what is the circumference of the triangle? AB is one side of an equilateral triangle, De is one side of a square,
- 5. The side length of equilateral triangle ABC is a, and the square defg is inscribed with △ ABC, D, E on AB, AC, G, f on BC respectively. Find the side length of square defg
- 6. As shown in the figure △ ABC, ∠ a = 90, de bisects AB vertically, intersects BC with EAB = 20, AC = 12, finds the length of be and the area of quadrilateral Adec
- 7. As shown in Figure 1, fold the △ ABC paper along De, so that point a falls at the position of point a 'in the quadrilateral bced. Through calculation, we know that: 2 ∠ a = ∠ 1 + ∠ 2 (1) If the △ ABC paper is folded along the de so that the point a falls on the position of the outer point a 'of the quadrilateral bced, as shown in Fig. 2, what is the relationship between ∠ A and ∠ 1, 2? Why? Please explain the reason. (2) if the quadrilateral ABCD is folded along EF so that the points a and d fall on the positions of a 'and d' inside the quadrilateral BCFE, as shown in Figure 3, can you find out the relationship between ∠ a, ∠ D, ∠ 1 and ∠ 2? (write the relation directly)
- 8. (1) As shown in Figure 1, fold the △ ABC paper along de so that point a falls at the position of point a 'inside the quadrilateral bced, and try to explain that 2 ∠ a = ∠ 1 + ∠ 2; (2) as shown in Figure 2, if the △ ABC paper is folded along de so that point a falls at the position of point a' outside the quadrilateral bced, then the equivalent relationship between ∠ A and ∠ 1, ∠ 2 is______ (no need to explain the reason); (3) as shown in Figure 3, if the quadrilateral ABCD is folded along EF, so that points a and d fall on the positions of internal points a ′, D ′ of quadrilateral BCFE, please explore the quantitative relationship between ∠ a, D, 1 and 2 at this time, write down the conclusion you found and explain the reason
- 9. As shown in the figure, D and E are the points on △ ABC sides AB and AC respectively, de ‖ BC. If ad = BD, find the ratio of the area of triangle ade to the area of trapezoid bced
- 10. It is known that a (0, - 4), B (- 2,0) C (3,0) are the three vertices of △ ABC. A straight line L passing through the coordinate origin o intersects the line segment AB at point D, and the bisector of ∠ ADO and ∠ ABO intersects at point M?
- 11. It is known that: as shown in the figure, one side De of rectangular defg is on the side BC of △ ABC, the vertices g and F are on the sides AB and AC respectively, ah is the height of the side BC, ah and GF intersect at the point K, BC = 12, ah = 6, EF: GF = 1:2 are known, and the perimeter of rectangular defg is calculated
- 12. As shown in the figure, in the right angle △ ABC, CD is the height on the hypotenuse AB, ∠ BCD = 35 °, find: (1) the degree of ∠ EBC; (2) the degree of ∠ a
- 13. In the triangle ABC, angle ACB = 90 degrees, angle B = 35 degrees, CD is the height of hypotenuse ab. find the best BCD and the degree of angle A
- 14. As shown in the figure, CD is the height on the hypotenuse of RT △ ABC, the bisector of a intersects CD at h, and the bisector of BCD intersects G
- 15. If BC = 32 and BD ∶ CD = 9 ∶ 7, then the distance between point D and ab is? 2. If y = 2, the distance between point D and ab is? 2 Please write down the process
- 16. In RT triangle ABC, ad is the middle line on hypotenuse BC. How to prove ad = 1 / 2BC?
- 17. AB is the diameter of ⊙ o, C is on ⊙ o, BP is the middle line of △ ABC, BC = 3, AC = 62, find the length of BP
- 18. As shown in the figure, in the isosceles right triangle ABC, ∠ ACB = 90 °, point D is the midpoint of BC, and the isosceles right triangle DCE is made with CD as the side, where the angle DCE = 90 ° CD = CE, link AE, the quantitative relationship between AE and BD, explain the reason
- 19. As shown in the figure, △ ABC, D is on AB, ad = BD = CD, de ∥ AC, DF ∥ BC
- 20. In triangle ABC, the bisector of AB = AC = 3 BC = 2 ∠ ABC intersects the parallel line of BC at d to find the area of triangle abd