Known: as shown in the figure, RT △ ABC ≌ RT △ ade, ∠ ABC = ∠ ade = 90 °, try to connect two line segments by taking the points marked with letters in the figure as the end points. If the two line segments you connect satisfy one of the equal, vertical or parallel relationships, please write it out and prove it
Answer: the first kind: connect CD, be, get: CD = be
RELATED INFORMATIONS
- 1. It is known that in RT △ ABC, ∠ C = 90 ° CoSb = 23, then the value of SINB is () A. 253B. 53C. 255D. 55
- 2. As shown in the figure, in △ ABC, the points D and E are on the side of BC, and ∠ B = ∠ bad, ∠ C = ∠ CAE, BC = 8cm is known, find the perimeter, line and speed of ADE
- 3. Make parallel lines of AB, BC and AC respectively through a point P in the triangle ABC Drawing
- 4. As shown in the figure, go through the center of gravity o of △ ABC (the intersection of the three midlines) and make a parallel line of BC, intersecting AB at D and AC at E. then the area ratio of △ ade to △ ABC is () A. 1:2B. 2:3C. 1:3D. 4:9
- 5. 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
- 6. As shown in the figure, △ ABC, D is on AB, ad = BD = CD, de ∥ AC, DF ∥ BC
- 7. 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
- 8. 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
- 9. In RT triangle ABC, ad is the middle line on hypotenuse BC. How to prove ad = 1 / 2BC?
- 10. 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
- 11. As shown in the figure, the elevation angle of C is ∠ CAD = 30 ° from a, the elevation angle of C is ∠ CBD = 45 ° from B, and the angle of view is ∠ ACB when measuring a and B from C=______ Degree
- 12. As shown in the figure, the elevation angle of C is ∠ CAD = 30 ° from a, the elevation angle of C is ∠ CBD = 45 ° from B, and the angle of view is ∠ ACB when measuring a and B from C=______ Degree
- 13. As shown in the figure, the elevation angle of C is ∠ CAD = 30 ° from a, the elevation angle of C is ∠ CBD = 45 ° from B, and the angle of view is ∠ ACB when measuring a and B from C=______ Degree
- 14. As shown in the figure, at the isosceles right angle △ ABC, ∠ C = 90 °, AC = BC, D is any point on AB, AE ⊥ CD is at e, BF ⊥ CD intersects the extension line of CD at F, CH ⊥ AB is at h, Give AE to g, verify: CE = BF
- 15. As shown in the figure, be and CF are the heights of △ ABC, M is the midpoint of BC, BC = 10, EF = 5, root 2, and find the area of triangle EFM kuaidiann
- 16. In the triangle ABC, ab = AC, angle a = 120 degrees, D is the midpoint of BC, De is perpendicular to AB and E, and the ratio of AE to EB is calculated
- 17. In the triangle ABC, D and E are the points of the edges of AC and BC respectively, and EC: EB = 1 / 3. It's troublesome to find the values of BC: be, DC: AC and ad: AC
- 18. It is known that BD is the middle line of the triangle ABC, and the perimeter of the triangle abd is 2cm longer than that of the triangle BCD. If the perimeter of the triangle ABC is 18cm and AC = 40cm, the lengths of AB and BC are obtained
- 19. In △ ABC, ab = BC, AB is the height of BC side, AE is the bisector of ∠ BAC, ead = 48 ° to find ∠ ACD
- 20. As shown in the figure, in the parallelogram ABCD, the bisector of ∠ ABC intersects CD at point E, and the bisector of ∠ ADC intersects AB at point F. try to judge whether AF and CE are equal, and explain the reason