(1) setting, and then
A.B. C. D。
The answer should be a.
(2) Complex number is imaginary unit) The quadrant of the corresponding point on the complex plane is
A. first quadrant B. second quadrant C. third quadrant D. fourth quadrant
Analysis: the corresponding point is in the fourth quadrant, and the answer should be D.
(3) If the point is on the image of the function, the value of is
A.B. C. D。
The answer should be D.
(4) The solution set of inequality is
A.B. C. D。
Analysis: when, the original inequality can be transformed into, solved; When, the original inequality can be changed to, not established; When, the original inequality can be reduced to, solve. To sum up, or, the answer should be D.
Another solution: 1: You can make the image of the function available, make the observation image available, or make it effective. The answer should be D.
Another solution 2: use the geometric meaning of absolute value to express the sum of the distances from point to point on the real number axis. Make the sum of point-to-point distances equal to 10, which is exactly or, so if or can be established, the answer should be D.
(5) For a function, "the image is symmetrical about the axis" is "odd function".
A sufficient and unnecessary condition B. Necessary and insufficient condition C. Necessary and sufficient condition D. Neither sufficient nor unnecessary condition.
Analysis: If it is odd function, then the image is symmetrical; On the other hand, if it is not true, such as even function, the satisfied image is about axis symmetry, but not necessarily odd function, and the answer should be B.
(6) If the function monotonically increases in the interval and monotonically decreases in the interval, then
A.B. C. D。
Analysis: The function monotonically increases in the interval and monotonically decreases in the interval.
So, the answer should be C.
Another solution: 1: Let the function be increasing function. Similarly, the available function is subtraction function, and the answer should be C.
Another solution 2: from the meaning of the question, we can know that when the function gets the maximum value, then, that is, through the combination of options, the answer should be C.
Another solution 3: from the meaning of the question, we can know that the function gets the maximum value at the right time.
Then, combined with the options, the answer should be C.
(7) Statistics of advertising expenses and product sales are as follows:
Advertising fee (ten thousand yuan)
4 2 3 5
Sales (ten thousand yuan)
49 26 39 54
According to the above table, the regression equation is 9.4. According to this model, it is predicted that the advertising cost is 60,000 yuan and the sales volume is 0.
A.66 million yuan, B.655 million yuan, C.677 million yuan, D.720 billion yuan.
According to the meaning of the question, the answer should be B.
(8) It is known that both asymptotes of hyperbola are tangent to the circle, and the right focus of hyperbola is the center of the circle, so the equation of hyperbola is
A.B. C. D。
Analysis: circle, then, the answer should be a.
(9) the function of the image is roughly
Analysis: The function is odd function, and because the function is periodic, the answer should be C.
(10) is known as a periodic function, and the upper limit of its minimum positive period is 2. If, then the number of intersections between the image of this function and the axis in the interval is
a6 b . 7 c . 8d . 9
Analysis: If, then, sum is a periodic function with a minimum positive period of 2, then the answer to sum should be B.
(1 1) The right picture shows two rectangles with equal length and width. Give three propositions:
(1) has a triangular prism, and its front (main) view and top view are shown on the right;
(2) There are four prisms, the front (main) view and top view of which are as shown on the right;
③ There is a cylinder, and its front (front) view and top view are shown on the right.
Among them, the number of true propositions is
A.3 B.2 C. 1 D.0
Analysis: ① ② ③ are all right, as long as ① the bottom is a right-angled quadrangle of an isosceles right-angled triangle,
Let the right side of the right triangle lie flat; (2) Two sides of a right-angled quadrangular prism
Is a flat square or regular quadrangular prism; ③ When the cylinder is flat, three propositions can be established.
The answer is a.
(12) Let there be four different points in the plane rectangular coordinate system. If,
Moreover, it is called harmonic segmentation, and the points on the plane are known as harmonic segmentation points, so the following statement is correct.
A.c may be the midpoint of line AB, and B. D may be the midpoint of line AB.
C, C and D can be on the line segment AB at the same time, but D, C and D cannot be on the extension line of the line segment AB at the same time.
Analysis: According to the meaning of the question, if C or D is the midpoint of the AB line, then, or, is contradictory;
If c and d may be on line AB at the same time, it is contradictory. If C and D are on the extension line of line segment AB at the same time, then, therefore, C and D cannot be on the extension line of line segment AB at the same time. The answer is D.