Cin 67. Trong không gian với hệ tọa độ Oxy=, cho hai điểm A(-2;3;1) và B(5;6;2) Đường thẳng AB cắt mặt phẳng (ac) tại điểm M . Tinh tỉ số (AM)/(BM) A. (AM)/(BM)=(1)/(2) B (AM)/(BM)=2 C. (AM)/(BM)=(1)/(3) D. (AM)/(BM)=3 D(6,0,0),D(12,0,0) B. BM -2 Oao cho hình hộp ABCD A'B'C'D' có A(0;0;0), B(a;0;0)

This question is a repeat of Questions 2 and 3 in the example. The solution involves finding the coordinates of point M where the line AB intersects the xy-plane (z=0), and then calculating the ratio of the distances AM and BM.**Solution:**1. **Find the equation of the line AB:**The direction vector of the line AB is given by .The parametric equation of the line AB is:x = -2 + 7ty = 3 + 3tz = 1 + t2. **Find the intersection point M with the xy-plane (z=0):**Set z = 0 in the parametric equation:1 + t = 0 => t = -1Substitute t = -1 into the x and y equations:x = -2 + 7(-1) = -9y = 3 + 3(-1) = 0Therefore, the coordinates of M are (-9, 0, 0).3. **Calculate AM and BM:**AM = BM = 4. **Calculate the ratio AM/BM:**AM/BM = Therefore, the answer is A. AM/BM = 1/2**Final Answer:** The final answer is