Class name _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
I. Fill in the blanks (2 points for each blank, ***24 points)
1。 If the score is 0, the value of x is _ _ _ _ _ _ _ _; When x = _ _ _ _ _ _ _ the score is meaningless.
2。 When x = _ _ _ _ _ _ _ the values of 2x-3 and are reciprocal.
3。 Write a fraction with the letter X (requirement: no matter what real number X takes, the fraction is meaningful) _ _ _ _ _ _.
4。 The root of is 1, then m = _ _ _ _ _ _ _ _
5。 When m = _ _ _ _ _ _ _ there is no solution to the fractional equation about X.
6。 In the fraction, f 1≦-F2, then f = _ _ _ _ _ _ _
7。 A and b are real numbers, and ab= 1. If, then P _ _ _ _ _ Q.
8。 It is known that the value of algebraic expression is _ _ _ _ _ _ _.
9。 A shop sells a commodity because the purchase price has been reduced by 6. 4%, making the profit rate increased by 8%, so the original distribution profit rate of this commodity is _ _ _ _ _ _.
10。 For two arbitrarily unequal numbers A and B, define an operation ※ as follows: a※b=, if 3※2=, then12 ※ 4 = _ _ _ _ _ _.
1 1。 If known, the algebraic expression A-B = _ _ _ _ _ _.
Second, multiple-choice questions (3 points for each question, ***27 points)
12。 In formulas,,,,, the number of fractions is ()
A.2b.3c.4d.v.
13。 If the x and y of the score are expanded by k times, then the value of the score should be ()
A. Enlarge K times B. Keep unchanged C. Enlarge k2 times D. Reduce K times.
14。 If the equation has an increasing root, then the value of k ()
A.1B. ——1C.1D. VII
15。 The simplest common denominator of fractions and sums is ()
A.24a2b2c2b.24a6b4c3c.24a3b2c3d.24a2b3c3.
16。 If the score is negative, the range of X is ()
Answer: B, C, x & lt0D. Not sure.
17。 Among the following scores, the simplest score is ()
A. B. C. D.
18。 If no matter what real number M takes, the score is always meaningful, then the range of M is ()
A. m ≥1b.m>1c.m ≤1d.m<1
19。 A and b are 48 kilometers apart. It takes 9 hours for a ship to sail downstream from A to B and immediately return to A from B. It is known that the current speed is 4 km/h. If the speed of the ship in still water is x km/h, equation () can be listed.
A. B.
C.d.
20。 Known, the value of is ()
Answer.1B. ——1C.—3D. III
Iii. Answering questions (49 points)
2 1。 Simplify. (5 points for each question, *** 10)
( 1); (2)。
22。 Solve the following fractional equation. (5 points for each question, *** 10)
( 1); (2)。
23。 (7 points) Let m+n=2 and evaluate.
24。 (7 points) If the equation about x has an increasing root, find the increasing root and the value of k.
25。 (7 points) When bidding for a project, the bidding documents of two construction teams, A and B, were received. Pay Party A's engineering team 1 for one day of construction. 20,000 yuan, and the construction cost of the second construction team is 0. 50 thousand yuan. According to the calculation of the bidding documents of teams A and B, the project leading group has the following scheme:
(1) Team A completed the project alone as scheduled;
(2) Team B completed the project alone for 6 days longer than the specified date;
(3) If Team A and Team B cooperate for three days, the remaining projects will be completed by Team B alone as scheduled.
On the premise of not delaying the construction period, which construction scheme do you think is the most economical? Please provide a justification for the answer.
26。 (8 points) Yuezhuang Hardware Store is going to buy A and B parts from Ningyun Machinery Factory for sale. If the purchase price of each A-type part is less than that of each B-type part by 2 yuan, the quantity of A-type parts purchased with 80 yuan is the same as that purchased with 100 yuan.
(1) What is the purchase price of each part A and each part B?
(2) If the number of pieces A purchased in this hardware store is three times less than the number of pieces B, and the total number of two parts purchased is no more than 95, the selling price of each piece A in the hardware store is 12 yuan, and the selling price of each piece B is 15 yuan, then after all the pieces A and B are sold, the total profit of the two parts can be (. Please design it.
Reference answer
1。 202。 33。 The answer is not unique.
4。 35。 —66。 7。 =8。 49。 17% 10。 1/2 1 1。 — 1
12。 B 13 .A 14 .A 15 .C 16 .A 17 .C 18 .B 19 .D20 .C
2 1。 ( 1)(2)a
22。 ( 1)x=3(2)x=— 123 .
24。 K=5, rooting is x= 1.
25。 Solution: Let the specified date be X days. Judging from the meaning of the question, you understand.
X=6 is the root of the original equation.
Scheme (1): 1. 2×6=7。 2 (ten thousand yuan);
Scheme (3): 1. 2×3+0。 5×6=6。 6 (ten thousand yuan).
Because seven. 2 & gt6。 6, so on the premise of not delaying the construction period, the third construction scheme is the most economical.
26。 (1) a 8 yuan, b 10 yuan,
(2) 67 people in Class A and 24 people in Class B; A 70, B 25 ..