![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
As shown in the figure, in RT △ ABC, ∠ ACB = 90 ° AB = 6, P is the point on AB, connect PC, set ∠ BCP = m ∠ ACP, when AP = 3 / 2, whether there is a positive integer m, Make PC perpendicular to ab? If it exists, calculate the value of M. if it does not exist, explain the reason
If there is a positive integer m, let BC = x, AC = √ 36-x ^ 2, ab = 6, AP = 3 / 2, then BP = 9 / 2 in right triangle BCP, sin ∠ BCP = BP / BC = 9 / 2x in right triangle ACP, sin ∠ ACP = AP / AC = 3 / 2 √ 36-x ^ 2, and ∠ BCP + ∠ ACP = ∠ ACB = 90 ° in right triangle ACP
RELATED INFORMATIONS
- 1. As shown in the figure, it is known that △ ABC, P is the point on AB, connecting CP. in the following conditions, △ ACP ∽ ABC cannot be determined as () A. ∠ACP=∠BB. ∠APC=∠ACBC. ACAP＝ABACD. ACAB＝CPBC
- 2. As shown in the figure, it is known that △ ABC, P is a point on edge ab. when connecting CP, (1) ACP satisfies what conditions, △ ACP is similar to △ ABC? (2) AC: AP is full
- 3. As shown in the figure, we know that in △ ABC, P is the point on AB, connecting CP, when the condition is satisfied______ When △ ACP ∽ ABC
- 4. Given the triangle ACP, similar to the triangle ABC, AC = 4, AP = 2, find the length of AB? (PC connected) a P B C
- 5. It is known that △ ABC is an equilateral triangle, P is a point in the triangle, PA = 3, Pb = 4, PC = 5
- 6. It is known that △ ABC is an equilateral triangle, P is a point in the triangle, PA = 3, Pb = 4, PC = 5
- 7. P is a point in the equilateral triangle ABC, PC = 5, PA = 3, Pb = 4, find the degree of angle APB There are only four points a, P, B, C
- 8. It is known that △ ABC is an equilateral triangle, P is a point in the triangle, PA = 3, Pb = 4, PC = 5
- 9. It is known that △ ABC is an equilateral triangle, P is a point in the triangle, PA = 3, Pb = 4, PC = 5
- 10. As shown in the figure, it is known that in the triangle ABC, ab = AC, ad is the height on the edge of BC, and point P is in the triangle abd
- 11. In the RT triangle ABC, the angle a is equal to 90 degrees and BC is equal to 4. There is a point P with an internal angle of 60 degrees, which is different from a and B on the straight line AB, and the angle ACP is equal to 30 degrees to find the length of Pb
- 12. In RT △ ABC, ∠ a = 90 °, BC = 4, there is an internal angle of 60 ° and point P is a point on the straight line AB which is different from a and B, and ∠ ACB = 30 °, then the length of Pb is? 3 / 4 root 3 / 8 root 3 / 4, there are three answers, but I can't do it,
- 13. RT △ ABC, in which the angle a is 90 ° and BC is 4, there is an internal angle of 60 ° and the point P is different from the point AB on the straight line AB, and ∠ ACP = 30 °, then the length of Pb is longer
- 14. It is known that in RT △ ABC, ∠ a = 90 °, AB > AC, P is a point on AB, ∠ ACP = ∠ B, AC = 6, Pb = 5, find the sine value of ∠ APC. Draw the figure yourself. Please, everyone!
- 15. In the plane rectangular coordinate system, the circumscribed circle of a (- 2,0), B (2,0), C (1, √ 3) triangle ABC is m, and the equation for finding the circle m is given To process... Online, etc Ellipse x2 / 4 + x2 / 2 = 1, the right focus is F. if P is any point on the circle m which is different from AB and passes through the origin, make the vertical intersection line of PF x = 2, and judge the positional relationship between PQ and circle m by Q
- 16. Point a (0, - 3) point (- 3,0), point C on the x-axis, if the area of triangle ABC is 15, find the coordinates of point C
- 17. In the plane rectangular coordinate system, point a (0,3), point B (0,2), and point C are on the x-axis. If the area of △ ABC is 15, find the area of point C Find the coordinates of point C
- 18. As shown in the figure, in the plane rectangular coordinate system, a (- 1,5), B (- 1,0), C (- 4,3); (1) calculate the area of △ ABC; (2) draw the figure △ a1b1c1 after △ ABC is translated one unit down and five units to the right, and write the coordinates of each vertex
- 19. As shown in the figure, in the plane rectangular coordinate system xoy, given the points a (- 1,5), B (- 1,0), C (- 4,3) (1), we can calculate the area of ABC
- 20. A (0,0), B (- 3, - 4) C (4, - 2), draw these points (done) in the plane rectangular coordinate system, find the area of △ ABC, the first question has been done