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The change of exponential function image For example, how does y = a ^ x change into y = C · a ^ x, followed by M
CSDN to the next image function image drawing software, the analytical input, the image will be spent. Their own painting will know how to change!
You can also draw y = ln (sin (cosx))!
Estimate the image of these iterated functions, even your teacher can't draw it!
It is known that the ratio of length and width of rectangle is 3:2 and the length of diagonal is 39
Let the length of the rectangle be 3x and the width be 3x, then (2x) 2 + (3x) 2 = (39) 2, the solution is x = ± 3 (negative rounding), 2x = 23, 3x = 33
It is known that the vertex coordinate of parabola y = ax ^ 2 + BX + C (a is not equal to 0) is Q (2, - 1), and it intersects with y axis at C (0,3) and X axis at a and B. May 13, 2011 21:56 questioner: - 777 | number of Views: 707
Point P is a moving point on the parabola, moving from point C along the parabola to point a (point P and a do not coincide), passing through point P as PD ‖ Y axis (point a is on the right side of point B), point P is a moving point on the parabola, moving from point C along the parabola to point a (point P and point a do not coincide), passing through point P as PD parallel Y axis, intersection AC and point D
(1) Find the function relation of the parabola
(2) When △ APD is a right triangle, find the coordinates of point P
(3) Under the conclusion of question (2), if the point E is on the x-axis and the point F is on the parabola, is there a parallelogram with vertices a, P, e and f? If so, find out the coordinates of F; if not, explain the reason
(1) From C (0,3) we know C = 3, from Q (2, - 1) we know 3-B ^ 2 / (4a) = - 1, - B / (2a) = 2. The solution is: a = 1, B = - 4, so the function relation is y = x ^ 2-4x + 3 (2). Let P (m, n). Because of Pd / / Y axis, when p is a right angle vertex, we need AP / / X axis, where n = 0, P (1,0) coincides with B. when a is a right angle vertex, we need AP / / X axis
How much does a cubic decimeter of water weigh?
Each cubic decimeter of water weighs 1kg
What is the difference between monomials and polynomials
The combination of numbers and numbers or letters in the form of product is called a monomial, and the existence in the form of sum is called a polynomial. For example, 1 + 1 2x + 3Y is called a polynomial, and 1 2x 3Y is called a monomial
On the calculation formula of covariance of binary discrete random variables cov (x, y) = e (XY) - E (x) e (y), how can e (ey) be calculated?
E (XY), right?
It's the expectation of x times y
\ y 0 1
x
0 0.25 0.25
1 0.25 0.25
E(xy)=0*0*0.25
+0*1*0.25
+1*0*0.25
+1*1*0.25
=0.25
How many grams is 60 kg equal to
60kg = 60 × 1000g = 60000g
Hope to help you
(11 times 9) times (11 times 99 + 11) = please use a simple algorithm
(11*9)*(11*99+11)
=(11*9)*(11*99+11*1)
=(11*9)*[11*(99+1)]
=(11*9)*[11*100]
=121*900
=108900
A straight line passing through the focus of the parabola intersects it at two points P and Q, and a straight line passing through point P and the vertex of the parabola intersects the collimator at point M
To prove the symmetry axis of the straight line MQ parallel to the parabola
According to the definition of parabola, the distance from the point on the parabola to the focal point and the collimator is equal. Let the focal point of the parabola be C, the origin be o, the intersection of the straight line perpendicular to the collimator passing through P, the intersection of the collimator with N, Y axis and l, ol = OC
If the intersection of the straight line passing through the Q point perpendicular to the guide line is m ', there will be
PC = PN,QC=QM'
NM/LM = NP/OL = PC/OC = PQ = M'Q = PQ/CQ
NP//LC,
So QM / / LC, LC is the symmetry axis of parabola
There is a clerical error in the original answer, nm / LM = NP / OL = PC / OC = PQ = m'q = PQ / CQ, should be nm / LM = NP / OL = PC / OC = PQ / m'q = PQ / CQ, the line here omits the absolute value, so | PN | = | NP |, should not be omitted in the formal answer, I am to save trouble by typing the keyboard
Compared with the volume of cylinder, cube and cuboid with equal base and height, ()
A. Cube is bigger B. cuboid is bigger C. cylinder is bigger D
Because the volume of cylinder, cube and cuboid can be calculated by the formula: v = sh, and the volume is the same because of equal base and height
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