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

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• 1. Given the triangle ACP, similar to the triangle ABC, AC = 4, AP = 2, find the length of AB? (PC connected) a P B C
• 2. It is known that △ ABC is an equilateral triangle, P is a point in the triangle, PA = 3, Pb = 4, PC = 5
• 3. It is known that △ ABC is an equilateral triangle, P is a point in the triangle, PA = 3, Pb = 4, PC = 5
• 4. 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
• 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. 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
• 8. As shown in the figure, it is known that triangle ABC is an equilateral triangle, point P is any point on BC, and triangle AQP is also an equilateral triangle. Prove that triangle AQB ≌ triangle APC
• 9. As shown in the figure, BD is the height on the side of equilateral △ ABC, extend BC to e, so that CE = CD, (1) try to compare the size relationship between BD and De, and explain the reason; (2) if BD is changed to the angular bisector or median line of △ ABC, can we draw the same conclusion?
• 10. Mathematics problems in grade two of junior high school (equilateral triangle) In △ ABC, ab = AC, ∠ BAC = 120 °, the vertical bisector of AB intersects BC at E. prove: be = half CE
• 11. 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
• 12. 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
• 13. 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
• 14. 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
• 15. 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,
• 16. 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
• 17. 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!
• 18. 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
• 19. 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
• 20. 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