It is known that △ ABC ∽ def, the perimeter of △ ABC and △ def are 20cm and 25cm respectively, and BC = 5cm, DF = 4cm. The lengths of EF and AC are calculated
∵ the ratio of the circumference of a similar triangle is equal to the similar ratio, ∵ EFBC = 2520, ∵ EF = 54BC = 54 × 5 = 254cm, similarly ACDF = 2025, ∵ AC = 45df = 45 × 4 = 165cm
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- 1. Let a (5, - 2) and B (7,3) be known in the triangle ABC, and let the midpoint m of AC be on the Y-axis and the midpoint n of BC be on the x-axis
- 2. As shown in the figure, in the plane rectangular coordinate system, △ ABC is an equilateral triangle, and the side length is 2. If the coordinates of point a are known to be (4,4), and BC is parallel to the axis, then the coordinates of point C are equal The coordinates are () A. (5,4-radical 3) B, (5,4 + radical 3) C, (5,2-radical 3) d, (5,2 + radical 3) Sorry, there is no picture
- 3. For an equilateral triangle ABC with side length 4, establish an appropriate coordinate system and write out the coordinates of each vertex (1) High Ao on y-axis (2) Vertex B is at the origin and edge BC is on the X axis
- 4. As shown in the figure, the coordinates of the three vertices of △ ABC in the rectangular coordinate system are a (3,3), B (- 6, m), C (n, - 2), and the edge AB passes through the origin If △ AOD of is folded along the x-axis, then a coincides with the point A & # 39; on the edge of BC, and the coordinates of (1) point A & # 39; and (2) point B and point C are obtained
- 5. In the rectangular coordinate system, the coordinates of the three vertices of △ ABC are a (1,1), B (3,1), C (1,3), respectively. This paper explores the three vertices of △ def symmetrical about the origin of △ ABC Point coordinates, and determine the analytical formula of line EF
- 6. Isosceles triangle ABC, the bottom BC is on the negative half axis of X axis, point B is at the origin, the area of triangle ABC is 12, BC is equal to 6, find the coordinates of point a As shown in the figure, the isosceles triangle ABC, the bottom edge BC is on the negative half axis of the X axis, and the point B is at the origin. It is known that the area of the triangle ABC is 12, BC is equal to 6, and the coordinates of point a are obtained
- 7. Given the points a (- 5,0), B (3,0), find a point C on the y-axis so that it satisfies s △ ABC = 16, and find the coordinates of point C
- 8. Given the points a (- 5,0), B (3,0); (1) find a point C on the y-axis to satisfy s △ ABC = 16, find the coordinates of point C (necessary steps); (2) find a point C on the rectangular coordinate plane, how many C can satisfy s △ ABC = 16? What are the characteristics of these points?
- 9. Given the area of △ ABC on the x-axis of points a (0, - 3), B (0, - 4) and C is 1.5, the coordinates of point C are obtained
- 10. As shown in the figure, in the plane rectangular coordinate system, the straight line y = x + 4 intersects with the X axis at a, and intersects with the Y axis at point B, point C (- 2,0) 2. Make OD ⊥ BC intersection AB at point O, and calculate the coordinates of point D; 3. If the line y = kx-k has an intersection with line BD, calculate the value range of K
- 11. It is known that △ ABC ≌ Δ def, if the perimeter of △ ABC is 32ab = 9, BC = 11, then de =, EF =, DF=
- 12. In △ ABC and △ def, AB / de = BC / EF = AC / DF = = 4, find the ratio of the perimeter of △ ABC to that of △ def Utilization ratio
- 13. It is known that △ ABC is all equal to △ def. If the circumference of △ ABC is 32, and ab = 8, BC = 2, try to find out the lengths of De, EF, DF and DF respectively Big brother, big sister, what, do me a favor
- 14. If △ ABC ≌ Δ DEF is known, if the circumference of △ ABC is 38, ab = 8, BC = 12, then de =? EF =? DF =? Who can write down the process of finding DF,
- 15. In △ ABC and △ def, ABDE = BCEF = CAFD = 23, the perimeter of △ ABC is 13cm, then the perimeter of △ DEF is 13cm______ .
- 16. AB: de = BC: EF = CA: FD = 6:5, the difference between the perimeter of triangle ABC and triangle DEF is 4, how much is the perimeter of ABC and def?
- 17. AB: de = BC: EF = CA: FD = 6:5, the difference between the perimeter of triangle ABC and triangle DEF is 4, how much is the perimeter of ABC and def?
- 18. Given that the angle ABC is equal to the angle def, AB is equal to 3, AC is equal to 5, if the perimeter of the angle DEF is even, what is the length of ef?
- 19. If AB = 3 and EF = 4, what is AC equal to?
- 20. As shown in the figure, △ ABC, D, e and F are the points on AB, BC and AC respectively. DF ‖ BC and ef ‖ AB are known. Please add a condition:______ To make △ ADF ≌ FEC