When x = when does the absolute value of X + 1 have a minimum, and what is the minimum?

When x = when does the absolute value of X + 1 have a minimum, and what is the minimum?


When the absolute value of X + 1 is equal to 0, there is a minimum,
That is, when x = - 1, there is a minimum value, and the minimum value is 0



On the image of function f (x) = LG (√ (x ^ 2 + 1) + x)________ symmetric


F (x) + F (- x) = LG 1 = 0, f (x) is an odd function, symmetric about the origin



The two prime numbers are 39. What is the difference between the two prime numbers?


(1) : the sum of two prime numbers is 39; because 2 + 37 = 39, the difference is 37-2 = 35; (2): the product of two prime numbers is 39; because 39 = 3 * 13, the difference is 13-3 = 10



Let x ~ U (0,4) be a random variable, and find the density function of y = x ^ 2-2x-3
Mainly the upper and lower limits of the integral~


FY(y)=P(Y



It is known that the image of quadratic function y = ax05 + BX + C passes through points a (3,0), B (2, - 3), C (0. - 3)
(1) The analytic formula and the axis of symmetry have been worked out as y = x & # 178; - 2x-3 and x = 1 respectively
(2) Point P starts from point B and moves along the line BC to point C at the speed of 0.1 unit per second. Point Q starts from point O and moves at the same speed
The velocity moves along the line OA to point A. when one of the moving points reaches the end point, the other stops moving. Let the moving time be T seconds?


(2) Because the ordinates of point B and point C are equal, BC ∥ OA passes through point B as BD ⊥ OA, the perpendicular foot is D, P as PE ⊥ OA, and the perpendicular foot is e. if abpq is isosceles trapezoid, then PQ = AB, that is, QE = ad = 1, and because QE = oe-oq = 2-0.2t, so 2-0.2t = 1-0.2t = - 1t = 5, when t = 5S, four



How is 1 23 33 18 26 equal to 49


33+18-26+23+1=49



Factorization: 2a2-4a + 2=______ .


2a2-4a + 2, = 2 (a2-2a + 1), = 2 (A-1) 2



How to draw a circle around a line with the Geometer's Sketchpad


If you want to draw the rotation around a straight line, you need to use the oblique binomial drawing method to make a three-dimensional diagram
1. An ellipse is drawn by trajectory method;
2. Draw a vertical line through the center of the ellipse;
3. Draw a point on the ellipse;
4. Draw a circle around this point;
5. Select the center of the circle, and click edit operation button animation to confirm;
6. Finish



If the square - 6kx + K + 8 of the inequality KX about X is greater than or equal to 0, the solution is all real numbers, and the value range of K is obtained


Let f (x) = KX ^ 2-6kx + K + 8
According to the meaning of the question, if you want to meet the requirements of the question, there are k > 0 and Δ 0, (- 6K) ^ 2-4k (K + 8)



As shown in the figure, P is the diagonal AC of the parallelogram ABCD. Let any point of the triangle ADP and the area of the triangle ABP be S1
two


Make de ⊥ AC, BF ⊥ AC
A quadrilateral ABCD is a parallelogram
∴AD=BC,DC//AB
∴∠DAE=∠BCF
∵∠AED=∠BFC=90°
Ψ△ ade congruent △ CBF
∴DE=BF
∴S1=S2