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Given that the distance from the moving point P to the fixed point F (3,0) and to the fixed value line x = 5 / 2 is constant 2 √ 3 / 3, the trajectory equation of point P is obtained Urgent``
Let P (x, y)
√（x-3）^2+y^2=(2√3/3)*|x-5/2|
Two sides square
x^2-6x+9+y^2=(4/3)(x^2-5x+25/4)
3x^2-18x+27+y^2=4x^2-20x+25
(x-1)^2/3-y^2=1
In Cartesian coordinate system, the line y = 2x + 2 intersects the x-axis at point a, and the line y intersects the y-axis at point B. if C is a point in the second quadrant, the distance to the x-axis is 1, the distance to the y-axis is half, and CD is perpendicular to the x-axis at d, then whether there is a point P on the x-axis is a triangle, CDP is all equal to AOB? Explain the reason
A (- 1,0) B (0,2) C (- 1 / 2,1) d (- 1 / 2,0)
Let the coordinates of point p be (x0,0)
AO=1,BO=2,CD=1
If congruent, then: DP = 2
P (- 5 / 2,0) or P (3 / 2,0)
In the space rectangular coordinate system, given the points a (1,0,2), B (1, - 3,1), the point m is on the Y axis, and the distance from m to a and B is equal, then the coordinate of M is ()
A. （0，-1，0）B. （0，1，0）C. （1，0，1）D. （0，1，1）
Let m (0, y, 0) get y = - 1 from 12 + Y2 + 4 = 1 + (y + 3) 2 + 1, so m (0, - 1, 0) is selected: a
In the space rectangular coordinate system, given the points a (1,0,2), B (1, - 3,1), the point m is on the Y axis, and the distance from m to a and B is equal, then the coordinate of M is ()
A. （0，-1，0）B. （0，1，0）C. （1，0，1）D. （0，1，1）
Let m (0, y, 0) get y = - 1 from 12 + Y2 + 4 = 1 + (y + 3) 2 + 1, so m (0, - 1, 0) is selected: a
RELATED INFORMATIONS
- 1. In the space rectangular coordinate system, the point a (1,0,2) B (1, - 3, - 1) m is on the Y axis, and the distance to a and B is equal In the space rectangular coordinate system, if the point a (1,0,2) B (1, - 3, - 1) m is on the Y axis and the distances to a and B are equal, then the coordinate of M is?
- 2. In Cartesian coordinates, the distance OP from point P (- 2,3) to the origin=______ ．
- 3. In Cartesian coordinates, the distance from the point P (- 1, (√ 3) / 2) to the origin o is
- 4. The projection of a point on the coordinate axis of the space coordinate system How to find. Can give an example to illustrate, as long as I can understand. Success can be + points How to find it when drawing
- 5. The eccentricity of ellipse e: x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0) is e, P is the point on e, from P to the circle x ^ 2 + y ^ 2 = B ^ 2, make tangent PA and Pb, a and B are tangent points, Ask if there is a point P, so that PA ⊥ Pb? If there is, calculate the point P coordinate; if not, explain the reason
- 6. It is known that there are two points a (1,3), B (3,0) in the ellipse X225 + y216 = 1, and P is a point on the ellipse, then the maximum value of | PA | + | Pb | is______ ．
- 7. It is proved that the line connecting the two tangent points must pass through a certain point Such as the title
- 8. Given the point Q (2,0) and the circle O: X & # 178; + Y & # 178; = 1, the ratio of the tangent length from the moving point m to the circle to | MQ | is root 2, the trajectory equation of the moving point m is obtained For detailed explanation, please refer to the attached figure,
- 9. Given the point Q (2,0) and the circle C: x2 + y2 = 1 on the rectangular coordinate plane, when the ratio of the tangent length from the moving point m to the circle and MQ is 1 or 2 respectively, the trajectory equation of the point m is obtained
- 10. If the distance between point m and point F (4,0) is less than 1, then the trajectory equation of point m is______ ．
- 11. Two fixed points a (- C, 0), B (C, 0). The sum of the distances from the moving point P to the two fixed points is a constant 2A. Find the trajectory equation of point P
- 12. There are two fixed points a and B in the plane, and | ab | = 2. The ratio of the distance between a moving point m and two points a and B in the plane is 2:1
- 13. The trajectory of a point whose distance from the plane to the fixed point O is equal to 2cm is ()
- 14. Nowadays, there are many devices using batteries as power supply, and the amount of batteries used is very large. Some of them are rechargeable batteries, such as battery car batteries and automobile batteries. These rechargeable batteries all have one feature: the newly purchased batteries can be used for a long time after charging. After long-term use, they will be fully charged, and the power will soon run out. Please use Ohm's law of the whole circuit for analysis! Thank you for your explanation!
- 15. Calculation of maximum power of sliding rheostat by Ohm's law of closed loop If the sliding rheostat is connected in parallel with a resistor, how can the resistor be equivalent to the internal resistance
- 16. Ohm's law of closed circuit Is the terminal voltage necessarily the power supply voltage? What are the internal resistance and external resistance? What are their differences and connections?
- 17. Ohm's law in closed circuit U = E / R / R + I (to explain, u is the road voltage, e is the power electromotive force, e is the numerator, R / R + I is the denominator, R / R + I means the quotient of R divided by R plus I). How did this formula come out? Thank you!
- 18. As shown in the figure, line a is the U-I diagram line of a power supply, and line B is the U-I diagram line of resistance R. when the power supply and the resistance are used to form a closed circuit, the output power and internal resistance of the power supply are () A. 4W，1ΩB. 6W，1ΩC. 4W，0.5ΩD. 2W，0.5Ω
- 19. The variation law of the terminal voltage U of a power supply with the resistance R of the external circuit is shown in figure (a), and the straight line of u = 12V in the figure is the asymptote of the line. Now, the power supply and a rheostat R0 are connected into the circuit as shown in Figure (b). It is known that the maximum allowable current of the power supply is 2a, and the maximum resistance of the rheostat R0 = 22 Ω (1) The results are as follows: (1) the electromotive force E and internal resistance R; (2) the output voltage range of a and B at no load; (3) the minimum resistance of a and B that can be connected to load
- 20. Ohm's law There are 6V 3W and 3V 1W bulbs, which are connected in series in a 9V circuit. In this paper, which bulb is connected with a resistor in parallel can make both lamps light normally. Why?