As shown in the figure, P is a point on the side BC of △ ABC, and PC = 2PB. It is known that ∠ ABC = 45 ° and ∠ APC = 60 °, then the degree of ∠ ACB is___ °.
Connect BD; ∵ PCD, in which ∵ APC = 60 °, ∵ DCP = 30 °, PC = 2PD, ∵ PC = 2PB, ∵ BP = PD, ∵ BPD is isosceles triangle, ∵ BDP = ∵ DBP = 30 °, ∵ ABP = 45 °, ∵ abd = 15 °, ∵ BAP = ∵ APC - ∵ ABC = 60 ° - 45 ° = 15
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- 1. As shown in the figure, it is known that P is a point on the side BC of △ ABC, and PC = 2PB. If ∠ ABC = 45 ° and ∠ APC = 60 °, find the size of ∠ ACB
- 2. The perimeter of the triangle ABC is 40 cm, ab = 14 cm, BC = (8 + 3x), AC = (15-2 / 3x). Find the value of X and judge what triangle ABC is?
- 3. In △ ABC, a bisector ad intersects BC at point D, and ab = ad, and the extension of CM ⊥ ad intersects ad at point M. am = 1 / 2 (AB + AC)
- 4. As shown in the figure, we know that O is the inner part of triangle ABC, extend the circumscribed circle of Ao to D, and prove BD = od = CD
- 5. As shown in the figure, O is the middle line of the triangle ABC AD.BE.CF If the area of triangle AFO is 6, calculate the area of triangle ABC and the value of Ao: OD As shown in the figure, O is the middle line of the triangle ABC AD.BE.CF If the area of the triangle AFO is 6, calculate the area of the triangle ABC Find the value of Ao: OD
- 6. I'm so anxious. A triangle ABC, ab = 5, AC = 2 √ 5, BC = √ 5, can I find the area of the triangle ABC?
- 7. In the triangle ABC, if (a ^ 2 + C ^ 2-B ^ 2) tanb = √ 3aC, find out the degree of angle B, SINB = √ 3 / 2, will 120 ° and 60 ° be ok In the triangle ABC, if (a ^ 2 + C ^ 2-B ^ 2) tanb = √ 3aC, find out the degree of angle B, SINB = √ 3 / 2, will 120 ° and 60 ° be ok
- 8. In △ ABC, if (A2 + c2-b2) tanb = 3aC, then the value of angle B is______ .
- 9. Given △ ABC, (Tana + 1) (tanb + 1) = 2, ab = 2, find: (1) the degree of angle c; (2) the maximum area of triangle ABC
- 10. In the triangle ABC, ab = AC = 2A, ∠ ABC = ∠ ACB = 15 degrees, BD is high, find the length of BD? (important process)
- 11. As shown in the figure, it is known that P is a point on the side BC of △ ABC, and PC = 2PB. If ∠ ABC = 45 ° and ∠ APC = 60 °, find the size of ∠ ACB
- 12. As shown in the figure, P is a point on the side BC of △ ABC, and PC = 2PB. It is known that ∠ ABC = 45 ° and ∠ APC = 60 °, then the degree of ∠ ACB is___ °.
- 13. P is a point on the BC side of the triangle, and PC = Pb. Given that the angle ABC is equal to 45 degrees and the angle APC is equal to 60 degrees, calculate the degree of the angle ACB?
- 14. If ∠ a = 4 ∠ B in the isosceles triangle ABC is known, the degree of ∠ C can be obtained
- 15. In the isosceles triangle ABC, if the ratio of degree between ∠ A and ∠ B is 5:2, then the degree of ∠ A is? Urgent need
- 16. The triangle ABC is isosceles triangle, ∠ a = 86 °, 1 = 2, 3 = 4, find the degree of ∠ 5
- 17. It is known that the triangle ABC is an isosceles triangle with an angle of 3 = 105 ° and the degree of angle 2 and angle 1 On the course evaluation
- 18. If O is the outer center of the acute triangle ABC and Ao, Bo and co intersect with L, m and N respectively, then Ao: Al + Bo: BM + CO: CN=
- 19. In △ ABC, Ao, Bo, CO intersect at a point O, ∠ Bao = ∠ Cao, find what triangle △ ABC is There is a three minute time limit
- 20. It is known that in the triangle ABC, O is any point in the triangle, and the extension lines of Ao, Bo, CO intersect the opposite sides of D, e, F Verification: AE / EC + AF / FB = AO / OD