(Time: 90 minutes, full mark: 100)
First, multiple-choice questions (3 points for each question, ***30 points)
The title is 1 23455 6789 10.
Answer a question.
1, the number of fractions in algebra,,, is ()
a， 1 b，2 c，3 d，4
2. In order to make the score meaningful, the value range of X is ()
a、x = B、x > C、x < D、x ≠
3. Simplify (-x) and the result is ()
a、x B 、- 1 C、D 、-
4. The result of simplification is ()
a、a B、b C、 1 D 、-b
5. The result of simplification is ()
A, B, C, D,
6. Fractions and the simplest common denominator are ()
a、7 B、7 C、 10 D、 10
7. The result of calculating (1-) is ().
a、B、 1 C、D 、- 1
8. When solving the fractional equation +=4, get () after removing the denominator.
a、3-x=4(x-2) B、3+x=4(x-2)
c、3(2-x)+x(x-2)=4 D、3-x=4
9, hyperbola y= crossing point (3, a), then the value of a is ().
a、9 B、C、3 D、
10. On each curve of the image inversely proportional to y=, y increases with the increase of x, so the value of k can be ().
a 、- 1 B、0 C、 1 D、2
II. Fill in the blanks (3 points for each blank, 30 points for * * *)
1 1, for the score, when x, the score is meaningful; When x, the fractional value is 0.
12. The diameter of a bacterium is 0.0000 15m, which is expressed by scientific notation.
13, the scores of fraction and general division are respectively; .
14, if =, then =.
15. If the bottom length of the trapezoid is x, the upper bottom length is the bottom length, the height is y, and the area is 60, then the functional relationship between y and x is (regardless of the value range of x).
16, equation = the solution of x is x= 1, then the value of a is.
17, it is known that the image of inverse proportional function y = passes through point (2, 3), so the relationship of this function is.
The image of 18 and inverse proportional function y = (k≠0) passes through point (-2,3), so the image of this function is in the fourth quadrant.
Iii. Calculation problems (score for each problem, *** 16)
19 、( 2m n)？ 3m n 20 、(- 1) + |-3|-(-)
2 1 、( x- 1-)？ 22、 1- ÷
Four, solve the equation (3 points per question, ***6 points)
23, +=0 24, =-2 (6 points)
V. Answering questions (***28 points)
25. Denominator of (5 points) 10 = = (fill in decimals).
There is a 0, and the result of decimal conversion has a decimal;
10 =0. 1 (index is-1, 1 decimal place);
10 =0.0 1 (index -2, 2 decimal places);
10 = 0.00 ...0 1 (* * n zeros, exponents, decimal places)
26.(6 points) The symbol ""is called the second-order determinant, and its algorithm is specified as: =ad-bc. Please find the value of x in the following formula = 1 according to the above provisions.
27.(8 points) A factory has to process 600 parts. After processing 100 parts, the daily work efficiency is twice as high as the original one by adopting new technology. As a result, it took seven days to complete the task. How many parts does this factory process every day?
28.(9 points) The image of the known inverse proportional function passes through point A (-3,4).
(1) Find the analytical expression of this inverse proportional function.
(2) In which quadrants are the images of this function distributed? How does y change with the increase of x?
(3) Are points B (-2,6), C (3 3,6) and D (3 3,4) on the image of this function?