In the triangle ABC, ab = AC, ED is the vertical bisector of line AB, intersecting AB at point E, intersecting BC at point D. It is known that the degree ratio of ∠ bad to ∠ DAC is 1:3, and ∠ bad is calculated The degree of C
Because AB = AC, so ∠ B = C, and because ED is the vertical line of AB, so ad = BD, ∠ B = bad, let ∠ B = bad be x, so ∠ BDA = 180-2x ∠ C = b = x, and because ∠ bad: ∠ DAC = 1:3, so ∠ DAC = 3x, so in △ ADC
RELATED INFORMATIONS
- 1. In △ ABC, ab = AC, and the acute angle obtained by the intersection of the vertical bisector of AB and the line where AC is located is 50 °, then ∠ B is equal to______ .
- 2. In the triangle ABC, if angle B equals angle c equals 15 degrees and CD is perpendicular to the extension line of AB intersection Ba and point D, then angle ACD equals ()
- 3. D is a point in the triangle ABC. Try to compare the size of AB + AC and BD + CD, and explain the reason
- 4. In the triangle ABC, the angle ACB is 90 degrees, CD is perpendicular to point D, point E is on point AC, CE = BC, make a vertical line of AC through point E, and intersect the extension line of CD at point F Prove that angle a is equal to angle F
- 5. Xiaohong, Xiaoli, Xiaofang and Xiaocui are four people who make big red flowers for children in kindergarten. Each of them has to make five. Now they have made three big red flowers. How many big red flowers do each of them have to make? How many big red flowers do they have to make altogether?
- 6. In the 100 meter race, Xiao Ming ran for 14 seconds and Xiao Li ran for 18 seconds. How many seconds did they use for each meter on average? Who runs fast? The answer is to score,
- 7. In the 100 meter race, Xiao Dong took 18 seconds and Xiao Ming one fourth of a minute. Who can run fast?
- 8. Xiao Ming walks 100 meters every minute. Xiao Ming goes to school 1200 meters. Xiao Li's home goes to school 800 meters. Xiao Li walks 2 minutes late. How many meters does Xiao Li walk every minute Xiao Ming walks 100 meters every minute. Xiao Ming goes to school 1200 meters. Xiao Li's home goes to school 800 meters. Xiao Li walks 2 minutes late and asks Xiao Li how many meters she walks every minute. They can go to school at the same time
- 9. Xiao Fang did 48 questions in 3 minutes and made 5 mistakes. Xiao Li did 70 questions in 5 minutes and made 9 mistakes. Who has the highest accuracy
- 10. Xiaofang weighs one fifth more than Xiaoli, and the weight ratio of Xiaofang to Xiaoli is ()
- 11. In the triangle ABC, ab = AC, the acute angle formed by the intersection of the vertical bisector of waist AB and the straight line AC is 50 ° and the intersection line AC is at point E, and the intersection line AB is at point D. calculate the degree of ∠ EBC
- 12. In △ ABC, ab = AC, and the acute angle obtained by the intersection of the vertical bisector of AB and the line where AC is located is 50 °, then ∠ B is equal to______ .
- 13. In △ ABC, ab = AC, and the acute angle obtained by the intersection of the vertical bisector of AB and the line where AC is located is 50 °, then ∠ B is equal to______ .
- 14. In the triangle ABC, ab = AC, the acute angle obtained by the intersection of the vertical line of AB and the line where AC is located is 50 degrees, then the base angle B is
- 15. It is known that in isosceles △ ABC, ab = AC. if the acute angle of the intersection of the vertical bisector of AB and the line of edge AC is 40 degrees, then the base angle of isosceles △ ABC ∠ B is 40 degrees______ .
- 16. In △ ABC, ab = AC, and the acute angle obtained by the intersection of the vertical bisector of AB and the line where AC is located is 50 °, then ∠ B is equal to______ .
- 17. Given the line segments a, B, m (a > b > m), find △ ABC, so that ab = a, AC = no, the middle line ad on the side of BC = M. how to draw, and what is the reason? Given the line segments a, B, m (a > b > m), find △ ABC so that ab = a, AC = B, ad = m on the edge of BC. What is the reason for how to draw? (correction)
- 18. In the triangle ABC, ab = 5, the middle line ad = 7, draw a picture and determine the length range of AC side
- 19. [hope you can draw your own picture, thank you] in the triangle ABC, point D is on AC, point E is on AB, and ab = AC, BC = BD, ad = de = EB, find the degree of angle A
- 20. Draw and fill in the blanks according to the following requirements: (1) draw a vertical line of line AC through point B, intersect line AC at point D, then the distance from point B to line AC is a line segment______ (2) make the vertical bisector EF of the side ab of △ ABC with a ruler and a compass, intersect the sides AB and AC at points m and N, and connect cm. Then the line segment cm is △ ABC______ (keep the trace of drawing)