1, known set rules
2. The monotonic increasing interval of the function is _ _ _ _ _ _ _ _
3. Let the complex number I satisfy (I is an imaginary unit), then the real part of it is _ _ _ _ _ _ _ _
4. According to the pseudo code shown in the figure, when the inputs are 2 and 3 respectively, the final output value of m is _ _ _ _ _ _ _ _.
Read a, b
If a>b, then
mergers and acquisitions (M&A)
other
Master of Business Administration (MBA)
If ... it will be over.
Print m
5. If two numbers are randomly selected from 1, 2, 3 and 4 at a time, the probability that one number is twice that of the other number is _ _ _ _ _.
6. The number of letters received by a teacher from Monday to Friday is 10, 6, 8, 5 and 6 respectively, so the variance of this set of data.
7. The value of the known rule is _ _ _ _ _ _ _ _ _
8. In the plane rectangular coordinate system, if a straight line passing through the coordinate origin intersects the image of the function at point P and point Q, then the minimum length PQ of the line segment is _ _ _ _ _ _ _ _.
9, function unchanged, part of the image as shown in the figure, then
10, known as two unit vectors with an included angle of, if, the value of k is.
1 1, known real number, function, if, then the value of a is _ _ _ _ _.
12. In the plane rectangular coordinate system, the known point p is the moving point on the function image. Like the tangent at point P intersects with point M, and the perpendicular passing through point P intersects with point N. If the ordinate of the midpoint of line segment MN is t, the maximum value of t is _ _ _ _ _ _ _ _.
13, let, where q is geometric progression of the common ratio and arithmetic progression of the tolerance of 1, and the minimum value of q is _ _ _ _ _.
14, set one set,
If the value range of the real number m is _ _ _ _ _ _ _ _ _ _
Second, answer questions:
15. In △ABC, the edges corresponding to angles A, B and C are
(1) If the value of a is found;
(2) If, the value of.
16, as shown in the figure, in the quadrangular pyramid, the plane PAD⊥ plane ABCD,
AB=AD, ∠ bAD = 60, e and f are the midpoint of AP and AD respectively.
Verification: (1) straight line EF‖ plane PCD；;
(2) plane BEF⊥ plane pad
Please design a packing box. As shown in the figure, ABCD is a square piece of hard paper with a side length of 60cm. Cut off the four isosceles right-angled triangles shown in the shaded part, and then fold them in half along the dotted line, so that the four points coincide with the point P in the figure, just forming a regular quadrilateral box. E and f are the two endpoints of the hypotenuse of the isosceles right triangle cut on AB. Let AE =
(1) If the advertiser requires the maximum horizontal area (cm) of the packaging box, what value should X take?
(2) If the advertiser requires the maximum packaging volume V(cm), what value does X take? And find out the ratio of the height of the packaging box to the side length of the bottom surface at this time.
P
18 As shown in the figure, in the plane rectangular coordinate system, m and n are the vertices of the ellipse respectively, and the straight line passing through the coordinate origin intersects with the ellipse at two points, p and a, where p is in the first quadrant, the intersecting p is the vertical line of the X axis, the vertical foot is C, AC is connected, the intersecting ellipse extends to point B, and the slope of the straight line PA is K..
(1) When the straight line PA bisects the line segment MN, find the value of k;
(2) When k=2, find the distance d from point P to straight line AB;
(3) for any k >0, verification: PA⊥PB.
19. It is known that both A and B are real numbers, and the sum of functions is the derivative function. If it is constant in interval I, it is said to be monotonous in interval I.
(1), if the function is consistent with the monotonicity in the interval, the range of the number b is realistic;
(2) Assuming that the sum of functions is monotonic in the open interval with A and B as endpoints, find the maximum value of |a-b|.
20. Let M be a set of partial positive integers, and the sum of the first term and the first n terms of the sequence is, and it is known that any integer K belongs to M, when n >; K, it's all true.
(1) Let m = {1} and find the value of; (2) Let m = {3 3,4} and find the general term formula of the sequence.