It is known that: as shown in the figure, in △ ABC, ∠ B = ∠ C, points D, e and F are points on edges BC, AB and AC respectively, be = CD, connecting de and DF, with ∠ EDF = ∠ C, then are de and DF equal? Try to explain the reason
It is proved that: ∵ - CDF + - EDF + - BDE = 180 °, CDF + - C + - CFD = 180 °
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- 1. It is known that: as shown in the figure, in △ ABC, ∠ B = ∠ C, points D, e and F are points on edges BC, AB and AC respectively, be = CD, connecting de and DF, with ∠ EDF = ∠ C, then are de and DF equal? Try to explain the reason
- 2. As shown in the figure, △ ABC, D is the midpoint of BC, e and F are two points on the edge of AB and AC respectively, ed ⊥ FD, which proves that be + CF > EF
- 3. As shown in the figure, in △ ABC, BD bisects ∠ ABC, de ‖ BC intersects AB at point E, EF ‖ AC intersects BC at point F. try to guess the size relationship between be and CF, and explain the reasons, as shown in figure.doc
- 4. In △ ABC, ab = AC, D is a point on BC, de ⊥ AB and E, DF ⊥ BC, intersection AC and F, ∠ AFD = 160 °, find the degree of ∠ A and ∠ EDF RT
- 5. It is known that in the triangle ABC, the angle a is equal to 50 ° and DEF is the point on BC AB AC, DB= de.dc=df , find the angle EDF
- 6. In the triangle ABC, ab = AC, point D is on AC, and BD = BC = ad, De is the middle line of the triangle abd, and DF = BF, find the degree of ∠ EDF
- 7. As shown in the figure, in △ ABC, ab = AC, EB = BD = DC = CF, ∠ a = 40 °, then the degree of ∠ EDF is______ Degree
- 8. As shown in the figure: in △ ABC, D is the point on BC, de ⊥ Ba is in E, DF ⊥ AC is in F, and de = DF? And explain the reason
- 9. As shown in the figure: in △ ABC, D is the point on BC, de ⊥ Ba is in E, DF ⊥ AC is in F, and de = DF? And explain the reason
- 10. It is known that in the triangle ABC, D is a point of BC, De is perpendicular to AB and DF is perpendicular to AC and F, and De is equal to DF. What is the relationship between AD and ef D is a point on BC. I have the wrong number
- 11. In the triangle ABC, ab = AC, points D, e and F are on the sides of AB, BC and AC respectively. De = DF and EDF = angle a are known. Find out the similar triangles in the graph and prove them
- 12. In △ ABC, ab = AC, points D, e and F are on the sides of AB, BC and AC respectively, de = DF,
- 13. As shown in the figure, ab = De, AC ∥ DF, BC ∥ EF
- 14. In RT △ ABC, ∠ C = 90 °, a right triangle is solved by the following conditions (1) If we know that a = 4 times radical 3, B = 2 times radical 3, then C =? (2) If a = 10, C = 10 times the root 2, then ∠ B =? (3) If C = 20 and a = 60 ° are known, then a =? (4) If B = 35 and a = 45 ° are known, then a =?
- 15. In RT △ ABC, a = 30.01, ∠ B = 80 ° 24 'and ∠ C = 90 °, right triangle can be solved according to the following conditions
- 16. The side length of equilateral △ ABC is a, and the area of inscribed square defg of its inscribed circle is obtained
- 17. The square defg is the inscribed square of △ ABC, D is on ab. G is on AC, e and F are on BC, am ⊥ BC is on M, intersecting DG is on H. if ah is 4 and the side length of the square is 6, the length of BC is calculated
- 18. As shown in the figure, the area of triangle ABC is 120 square centimeters, D is the midpoint of BC & nbsp;, AE = 13be, EF = 12fd, then the area of triangle AFD is______ Square centimeter
- 19. Draw a rectangular piece of land on the plan with a scale of 1:200. The circumference of the rectangle on the plan is 54 cm, Draw a rectangular piece of land on the plan with a scale of 1:200. The perimeter of the rectangle is 54 cm and the ratio of length to width is 5:4. Calculate the actual area of the rectangular land
- 20. Xiaoming's father drew a 1:200 scale plan for a site and asked Xiaoming, "do you know how many times the actual area of the site is the size of the plan