A set of math papers ~
Fill in the blanks (2 points for each small question, ***20 points) 1. The front view, left view and top view of a geometric figure are all squares, so the shape of this geometric figure may be. 2. In 0, 2, -7, 1 1/4, -7/3, -3, 0.25, there are integers, negative numbers and positive fractions. 3. Compare the sizes of the following numbers:-6 _ _ _-5, 0 _ _ _-|-7 |,1_ _-20054, (-3)4, with radix of and index of. 5、-32= ; (-2)3= ; ( - 1/3)3= 。 6. Find a pattern to fill in the blanks: -7, -3, 1, 5, 9,; The total is. 7. The side development diagram of cone and cylinder is divided into two parts: and. 8. The number located on the left side of the origin of the number axis and four unit lengths away from the origin is 9. It only takes two nails to fix a thin piece of wood to the wall. His basis is. 10, the clock is timed at 2 o'clock, and the angle formed by the hour hand and the minute hand is. Second, multiple-choice questions (2 points for each small question, ***20 points) 1 1, which of the following geometric figures must not be a circle? () A, cone B, cylinder C, sphere D, prism 12, the impossible thing is () A, there will be a scientist in our class; B, it will rain tomorrow; C, from the pocket containing five red balls and three yellow balls, touch out three white balls; D Today is Tuesday and tomorrow is Wednesday; 13, the number whose absolute value is equal to 5 is () a, 5; b 、- 5; C, +5 or 5; D, 0 and 5 14. There are () rational numbers whose absolute values must be greater than 0. ② When two numbers are added, the sum must be greater than either addend. ③ Two straight lines can be made after a point. ④ The section of a cuboid must be rectangular. ⑤ One and only one straight line is parallel to this straight line. a、0; b、 1; c、2; d,3 15。 The surface temperature of the moon is 10 1 degree at noon, about-153 degrees at midnight, and it is () degrees higher at noon than at midnight. a、52; b 、- 52; c、254; d,-254 16。 In order to promote sales, shopping malls can still get a profit of 10% by selling a certain commodity at a 10% discount on the basis of the marked price. If the price of the commodity is 33 yuan, then the purchase price of the commodity is () yuan A and 31; b、30.2; c、29.7; D, 27 17, 36 100000 = () a, 36 1× 106 is scientifically counted; b、36. 1× 107; c、3.6 1× 10 8; D, 0.361×10918, a two-digit number, where the digit is a and the digit is b, and these two digits () a and AB are expressed by algebraic expressions; b、ba; c、 10a+b; d、 10b+a 19、0.25 =()′=()″A、25′、2500″; b、 15′, 19″; c 、( 1/4)′、( 1/240)″; d, 15′,0.5″20。 The following items are correct from left to right: () a,-(3x+2) =-3x+2; b 、-(-2x-7)=-2x+7 C 、-(3x-2)=-3x+2; d,-(-2x-7) = 2x-7 III。 Calculate (4 points for each small question, * *12 points) 2 1, (-3x) 2× [-2/3+(-5/9)] 22,0-23 ÷ (-4) 3-1. Simplify first and then evaluate (5 points for each small question, * * 10) 25, (5a+2a2-3-4a3)-(-a+3a3-a2), where a =-226, (2m2n+2mn2)-[2 (. 28 、( 2x+ 1)/3-(5x- 1)/6 = 1; 30.(x+3)/3=(x- 1)/2+ 1 VI。 Application problem 3 1. A shopping mall plans to invest X yuan to buy a batch of goods, and plans to sell them all within one month. Through market research, it is found that the profit from selling at the beginning of the month is 15%, the principal and profit can be reinvested in other commodities, and the profit at the end of the month is10%; If you resell all the goods at the end of the month, you can make a one-time profit of 30%, but you have to pay a storage fee, 700 yuan. (1) The profits of the two sales methods are expressed by algebraic expressions respectively. (2) According to the financial situation of shopping malls, which way is more profitable? 32. A person's heart rate during exercise is usually related to his age. If A is used to indicate a person's age and B is used to indicate the maximum number of heartbeats per minute that the person can bear during normal exercise, then B = 0.8 (220-A). Is it dangerous for a 45-year-old person to have a heartbeat of 22 times during exercise 10 second? 33. Party A and Party B meet along the same route at a distance of 0/2 km from Party B/KLOC-. After meeting, they continued to arrive at B and A, and then returned immediately. Six hours after their first meeting, they met again in a place 6 kilometers away. Find the distance between a and b and the speed Vii of a and b. Drawing questions (4 points) 34. The picture shows the top view of the geometry composed of several small cubes. The number of small squares indicates the number of small cubes at this position. Please draw the front and left views of this geometry. 132 1 35, the following table shows that the 26th, 27th and 7th countries won the gold medals in the 28th International Olympic Games: 26th, 27th and 28th USA 443935 Russia 263227 Germany 2014 China167. Kloc-0/ 1 1 Italy 6543800 Australia 9 16 17 Britain 5 1 19( 1) Make a statistical chart to show the United States and China at the three Olympic Games. (2) What information did you get from the statistical chart? (3) There are 300 gold medals in the 28th Olympic Games. Make an appropriate statistical chart showing the percentage of gold medals won by athletes from the five permanent members of the Security Council. (4) You can estimate the performance of the China team in the 29th Olympic Games from the information obtained from the statistical table you made. 36. It is known that point C is a point on the AB line, AC < AB, point M and point N are the midpoint between AB and CB, AC=8, and NB=5. Find the length MN of the line segment.