There are three points a (2,1), B (6,2), C (3, - 3) in the plane rectangular coordinate system

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• 1. If vector a (1,2) B (4,3) C (- 2,5), then what is the shape of triangle ABC, if it is changed to B (2,2)
• 2. In △ ABC, a (2, - 1), B (3,2), C (- 3, - 1), judge the shape of △ ABC
• 3. If the vector a = (1,2), B = (x, 1), and a + 2b is parallel to 2a-b, then x equals () A. 1B. -2C. 13D. 12
• 4. Given that a and B are two unit vectors, < A, b > = 60 degrees, what is the minimum value of | a + XB |? Anyone?
• 5. Given the vectors a, B and C, | a | = 1 | B | = 2 | C | = 3, the angle between a ⊥ B, a and C is 60 ° and the angle between B and C is 30 ° find the length of vector a + B + C
• 6. 1. Find the coordinate of the vector C whose module is root 2 and whose angle is equal to the vector a = (root 3, - 1) and B (1, root 3) (detailed steps are required)
• 7. Let a and B be non-zero vectors and B = 1 vector a, and the angle between B is π / 4, then find Lim t → 0 (a + TB - a) / T
• 8. It is known that a.b.c. is the three internal angles of a.b.c. the vector M = (- 2,1), n = (COS (a + π / 6), sin (a - π / 3)), and M is perpendicular to n Find the angle a if Sin & # 178; c-cos & # 178; C / (1-sin2c) = - 2, find the value of tanb
• 9. In △ ABC, the opposite sides of a, B and C are a, B and C respectively, the vector M = (COSA, 1), the vector n = (1,1-radical 3sina), and the vector m ⊥ the vector n, the size of a is calculated
• 10. In the triangle ABC, the opposite sides of a, B and C are respectively a, B and C. The vector M = (COSA, 1) the vector n = (1,1-radical 3sina), and the vector m ⊥ n (1) finds the size of angle a (2) if B + C = radical 3A, finds the size of B and C
• 11. Through the left focus F1 of hyperbola x ^ 2 / 3-y ^ 2 = 1, make the chord AB with inclination angle of π / 3. Find the perimeter of triangle f2ab
• 12. The left and right focus F1, F2 of hyperbola x squared △ 25 minus y squared △ 9 = 1, the length of chord AB passing through F1 is 2, find the circumference of triangle abf2
• 13. If the focus coordinates of hyperbola y ^ 2 / A ^ 2-x ^ 2 / b ^ 2 = 1 are F1, F2, the length of chord AB passing through F1 is 6, the perimeter of triangle abf2 is 28, e = 5 / 4, find a If the focus coordinates of hyperbola y ^ 2 / A ^ 2-x ^ 2 / b ^ 2 = 1 are F1, F2, the length of chord AB passing through F1 is 6, the perimeter of triangle abf2 is 28, and E = 5 / 4, find the value of a and B
• 14. If the chord AB length of the left focus F1 passing through the hyperbola x216 − Y29 = 1 is 6, then the perimeter of △ abf2 (F2 is the right focus) is 6______ ．
• 15. Through hyperbola x ^ 2 / 16-y ^ 2 / 9 = 1, the chord AB length of left focus F1 is 5?
• 16. If the chord AB length of the left focus F1 passing through the hyperbola x216 − Y29 = 1 is 6, then the perimeter of △ abf2 (F2 is the right focus) is 6______ ．
• 17. If the chord AB length of the left focus F1 passing through the hyperbola X / 16-y / 9 = 1 is 6, then the perimeter of △ abf2 (F2 is the right focus) is () A 28 B 22 C 14 D12
• 18. It is known that the points F1 and F2 are the left and right focus of hyperbola (x ^ 2) / (a ^ 2) - (y ^ 2) / (2) = 1 (a > 0), respectively. Through F2, the direction of the focus perpendicular to the X axis is made, and the intersection hyperbola is% 1 If △ f1ab is an equilateral triangle, the asymptote equation of the hyperbola is obtained
• 19. As shown in the figure, it is known that F1 and F2 are the two focal points of the hyperbola x ^ 2 / A ^ 2-y ^ 2 / b ^ 2 (a > 0, b > 0). Through F2, make a straight line perpendicular to the X axis, and the hyperbola intersects at point P, with the angle pf1f2 = 30 ° to solve the asymptote equation of the hyperbola
• 20. It is known that the points F1 and F2 are the left and right focal points of the hyperbola x square, a square, y square and b square = 1 respectively. The line passing through F2 and perpendicular to the X axis and If the hyperbola intersects at two points AB, if Abf1 is an acute triangle, then the value range of eccentricity of the triangle yes