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The triangle ABC is the inscribed triangle of circle O, AE is perpendicular to e, and D is the midpoint of - BC, connecting OA and AD
There is no solution to this problem, or the condition is not complete
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- 1. In the triangle ABC, DC: BD = 2:5, be and ad intersect at O, Bo: OE = 4, then Ce: EA =?
- 2. As shown in the figure, the triangle ABC is divided into two parts, AE = 3, EC = 2, BD = 3, DC = 1. What is the area ratio of the two parts
- 3. Triangle ABC and triangle DEB are equilateral triangles, e, B, C, on a straight line, CD, AE intersect o, connect Bo, 1) Verification of Bo bisector angle EOC 2) Explore the relationship between Ao, Co, Bo and prove it Sorry, there's no picture. The triangle BDE is small and ABC is large Triangle EBD on the left, ABC on the right
- 4. In the triangle ABC, the angle B is 90 degrees, the point O is the intersection of the bisectors of the three angles of the triangle ABC, OE is vertical AB, of is vertical AC, O is vertical AB, O is vertical AC, O is vertical AC, O is vertical AB, O is vertical AC, O is vertical AC, O is vertical AC, O is vertical AC, O is vertical AC, O is d. E, f are perpendicular feet, BC = 16cm, ab = 12cm, find the distance from point O to three sides AB, AC, BC
- 5. As shown in the figure: given ABO = 60, OC is the bisector of AOB, OD and OE bisector BOC and AOC respectively. When OC rotates around o point in AOB, ask if the degree of DOE is the same as before? Through this process, what conclusion do you come to?
- 6. It is known that the ray OC is in the interior of horizontal angle ∠ AOB, and ∠ AOC ＞ BOC, OD bisection ∠ AOC, OE bisection ∠ BOC ① Compare the values of ∠ COD and ∠ Coe ② Can you find out the size of ∠ doe? If so, find out its degree; if not, please explain the reason Thanks for the process
- 7. The angle AOB = 80 degrees, OC is a ray outside the angle AOB, OD bisects the angle BOC, OE bisects the angle AOC, and the angle DOE needs geometric language There is another problem If the angle AOB = 80 degrees is changed to angle AOB = a degrees, what is the law obtained by finding ∠ doe?
- 8. As shown in the figure, the known angle AOB = 90 degrees, the angle AOC is the acute angle. Od bisecting angle AOC, OE bisecting angle BOC. Calculate the degree of the angle doe? When the angle AOB = m degrees, the angle doe? Degree
- 9. As shown in the figure, known angle AOB = 90 degrees, angle AOC is acute angle, OD bisecting angle BOC, OE bisecting angle AOC, calculate the degree of angle doe
- 10. One day, Xiao Li walked to the Cultural Palace, 75 meters per minute when she went there, and 60 meters per minute when she returned. Xiao Li spent 36 minutes on the way back and forth. How many meters is it from Xiao Li's home to the cultural officer?
- 11. As shown in the figure, it is known that △ ABC is inscribed in circle O, AE bisects ∠ BAC, and ad ⊥ BC is at point D. connect OA, and verify ∠ OAE = ∠ DAE As shown in the figure, it is known that △ ABC is inscribed in circle O, AE bisects ∠ BAC, and ad ⊥ BC is connected to point D, OA is connected, and the verification is as follows: ∠ OAE = ∠ DAE
- 12. In triangle ABC, the angle BAC equals 135 degrees, ad is vertical to BC, the perpendicular foot is D, BD equals 4, CD equals 6, and the area of triangle ABC is calculated
- 13. In the triangle ABC, the angle c = 90 ° and the angle B = 45 ° ad bisects the angle BAC and intersects BC at the point D. It is proved that ab = AC + CD
- 14. In the isosceles RT triangle ABC, ab = AC, angle BAC = 90 degrees, be bisection angle BAC intersects AC at e, CD is made through C, be is perpendicular to D, and ad is connected
- 15. It is known that in the triangle ABC, the angle bisector ad of ∠ BAC intersects BC with D. It is proved that AC ratio AB equals CD ratio dB
- 16. It is known that in the triangle ABC, the angle c is equal to 90 degrees, AC is equal to BC, and ad is the bisector of the angle BAC. It is proved that AC + CD = ab
- 17. As shown in the figure, in RT △ ABC, ∠ B = 90 ° and point D is the midpoint of edge BC. Given ad = 5cm and BD = 3cm, find the length of AB and AC~
- 18. It is known that in RT △ ABC, ∠ BAC = 90 °, ab = 5cm, AC = 6cm, and the height ad on the edge of BC = 4cm. What is the radius of the circumscribed circle of △ ABC
- 19. As shown in the figure, in △ ABC, angle c = 90 °, de ⊥ AB and D, intersection AC and E, if BC = BD, AC = 4cm, BC = 3cm, ab = 5cm, calculate △ ad Find the perimeter of the triangle ade,
- 20. The triangle ABC in the right figure is an isosceles right triangle with a right edge of 4cm. Calculate the area of the shadow part The picture is wrong