8 points) Calculation:
2007 -2005 +2003 -200 1 + 1999 - 1997 = 。
2.8 points) A=8.3237×6.6262, (Let B=8.3236×6.6263, and the larger of the two numbers A and B is.
3.(9 points) If the remainder of a natural number A divided by 2007 is 9 18, then the remainder of this natural number A divided by 223 is.
4.( 10) There are three numbers A, B and C. Take two times of one number, three times of the other number and four times of the third number, and then sum them up, so as to get the following six numbers: 2× A+3× B+4× C 3× A+2× B+4× If the sum of the above six numbers is
5.( 10) is a multiplication formula as shown on the right. In this formula, only one "8" is known. Fill in the appropriate number in □ to make the formula effective. If the sum of the digits of the product in this formula is 15, then the product is. × □ □ □ □ □ □ □ □ □ □ 8 □ □
6.( 10 points) is composed of the following rules: the first number is the last two digits of 2007, and each subsequent number is three times the last two digits of the previous number. For example: 07,265,438+0,63,89,67,065,438+0,654,38+03, ...........................................................................................................................
7.(9 points) If a natural number is divisible by 4+3, 7+4, 1 1+4, then the minimum value of this natural number is.
8.( 1 1) In the rectangular ABCD shown in the figure below, it is known that AE = 3cm, EB = 2cm, BF = 3cm and FC = 7cm. If the line segment FG passing through F divides the quadrilateral AEFD into two parts with equal areas, then the length of the line segment AG is equal to cm. A G D 3 E 2 B 3 F 7 C
9. The picture below shows a tetrahedron (1 1 (a three-dimensional figure shaped like a pagoda). These four vertices are represented by a, b, c and d respectively. In the picture, * * * has six sides: AB, AC, AD, BC, BD and CD. If it is known that an ant starts from point A and walks along the sides of a tetrahedron, each side can't walk repeatedly and finally return to point A ... then this ant has a rule. D line takes C A B
10.( 1 1) Yangcun Primary School conducted a math test in the fourth grade, and the test * * had 15 questions. If Xiao Xi is happy, boiling, beautiful and lazy, the number of questions is 1 1 and 65438 respectively.
11(11)12. There are three kinds of plants in the garden, sunflower, lily, peony,1), which can bloom at the same time only once a week; 2) No flower can bloom for three days in a row; 3) Within a week, the number of days when any two flowers bloom at the same time will not exceed one day; 4) Sunflowers are closed on Tuesdays, Thursdays and Sundays; 5) Lily is closed on Thursday and Saturday; 6) Peony is closed on Sundays; Then _ _ _ _ _ _ _ the three kinds of flowers bloom at the same time.
12.( 12 minutes) Two cars, A and B, set off from A and B respectively at the same time and headed for the other side. Four hours later, the two cars met. After meeting, the two cars moved on. If car A arrives at location B three hours after the meeting, it will take another minute for car B to arrive at location A after car A arrives at location B. ..