It is known that M is a point of hyperbola x ^ 2 / 12-y ^ 2 / 4 = 1 in the first quadrant, and f1.f2 is the left and right focus respectively If the absolute value of MF1 is greater than that of MF2 = 3, then the coordinates of point m are

Let the coordinates of point m be (x, y)
a=√12===>2a=4√3,c=√(12+4)=4
The results show that mf1-mf2 = 4 √ 3, MF1 / MF2 = 3, MF1 = 6 √ 3, MF2 = 2 √ 3
Y²=MF1²-(c+X)²,Y²=MF2²-(c-X)²
∴(6√3)²-(4+X)²=(2√3)²-(4-X)²====>108-8X=12+8X
The hyperbolic equation of x = 6 is Y & sup2; = 8 = = = > y = 2 √ 2
The coordinate of point m is (6,2 √ 2)

RELATED INFORMATIONS

1. As shown in the figure, in the plane rectangular coordinate system, the endpoint coordinates of line AB are a (- 2,4), B (4,2), and the line y = kx-2 has an intersection with line ab Then the value of K cannot be a-5b-2c3d5
2. If a point a (4,0) outside the circle x2 + y2 = 4 is used as the secant of the circle, then the trajectory equation of the midpoint of the chord whose secant is cut by the circle is______ ．
3. Given that the point P is a point outside the circle C: x ^ 2 + y ^ 2 = 1, let K1 and K2 respectively pass through the slope of the two-day tangent of the circle C of point P. if the point P coordinates are (2,2), find the value of K1 * K2 I'm in a hurry
4. 2000 is a leap year______ (judge right or wrong)
5. Why do the maximum and minimum temperatures on land and sea appear at different times
6. First simplify and then evaluate [[(x2 + 2x + 1) / (x + 2)] / [(x2-1) / (x-1)] - 1 / (x + 2), where x = √ 2-2
7. 1 / 1 [1 times 2] + 1 / [2 times 3] + 1 / [3 times 4] + 1 / [4 times 5] + +How much is 1 / [2005 times 2006]
8. How many hours and minutes is 10000 seconds?
9. Calculation: 76 × (123 − 153) + 23 × (153 + 176) − 53 × (123 − 176)=______ ．
10. 375 = () divided by 16 = (): 8 = ()% = () 9 / 10
11. The equation of a circle whose center is on the parabola y ^ 2 = 2x and whose quasilinear and X-axis are tangent
12. If the line L passing through point a (4,0) and the square of the curve (X-2) + the square of y = 1, what is the range of the slope of the line l If the line L passing through point a (4,0) and the square of curve (X-2) + the square of y = 1, what is the range of the slope of line l
13. In triangle ABC, a = 4, B = 1. Angle c equals 45 degrees. What is the area of triangle ABC
14. In regular tetrahedral oabc with edge length 1, if point P satisfies vector OP = x vector OA + y vector ob + Z vector OC, and X + y + Z = 1, then what is the minimum value of modulus of vector OP? It is related to the combination of number and shape
15. Distribution areas of 11 climate types I need it urgently,
16. What is the purpose of making lever level balanced before the experiment of "exploring lever balance conditions" in junior high school physics experiment?
17. If the median line of the trapezoid divides the area of the trapezoid into two parts of 1:2, find the ratio of the top and bottom of the trapezoid
18. As shown in the figure, in the parallelogram ABCD, e and F are the points on AB and CD respectively, and AE = CF, connect BF and De, and try to guess the size relationship between ∠ ade and ∠ CBF prove
19. 3 times root 2 times (- 1 / 6 times root 14) times 1 / 7 root under root 17 divided by (root 8 times root 3) -5x & # 179; Y & # 178; × 2XY under the root sign divided by the square of 10 / y under the root sign Root 17 changed to root 18
20. What's 17 times the root 11 times 2 --. As the title