A, fill in the blanks (1 ~ 7 questions each with 7 points; 8 ~ 10, 9 points for each question ***76 points. ) 1, this year (AD 2008) China Lunar New Year is a rat. Excuse me, the China Lunar Zodiac in 3000 AD is a monkey. (Note: The zodiac signs of China lunar calendar are rat, ox, tiger, rabbit, dragon, snake, horse, sheep, monkey, chicken, dog and pig. ) solution: 3000-2008 = 992992/12 = 82 ... b was born in 1879. Solution: AB was born in1900a+129 (1900-a)+(a+129-x) =150x =18793. Answer (omitted) 4. One train left A for B at noon 12, and the other train left B for A 40 minutes later. If two trains travel on the same route at the same constant speed, the whole journey will take 3.5 hours each. Then the two trains meet at 2: 05 pm. 5. Party A and Party B jointly set up a company, and the share of Party A is 65,438+0.5 times that of Party B. Now Party C wants to join the company, and the three parties agree that Party C will contribute/kloc-0.50 million yuan to purchase part of the shares of Party A and Party B, so that both parties will hold one third of the shares. Then, Party C pays Party A RMB 6,543,800+0.2 million. 6. When the government changed the minister of education, the other ministers remained unchanged. A weekly reported an interesting phenomenon: after the replacement of the minister of education, the average age of all government ministers increased by 0.2 years, while the average IQ dropped by 2 points. It is known that the outgoing Minister of Education is 53 years old with IQ 108, and the new Minister of Education is 58 years old. Please calculate that the IQ of the new minister of education in this country is 58. 7. On a 3×5 chessboard, a chess piece can move one square in the horizontal or vertical direction at a time, but it cannot move along any diagonal. Starting from some specific squares, the chess pieces are required to pass through all the small squares just once, but they don't need to return to the original small squares. Of these 15 squares, 8 squares can be used as small squares for starting chess pieces. 8. Connect the centers of the sides of a regular cube to form an octahedron (as shown in the figure). It is known that the side length of a regular cube is 12cm and the volume of an octahedron is 288cm. Solution: The octahedron consists of two pyramids, and the base area of the pyramid is: (12/2)? 0? 5*2=72 Requirements:1/3 * 72 *12/2 * 2 = 288 (cm? 0? 5) 9. The number 1 ~ 100 on the card is not duplicate. Only by randomly drawing at least 68 cards can the product of the numbers on the cards be divisible by 12. Solution: 100/3 = 33... 1; 12=2? 0? 5*3 From the most unfavorable situation, if we take (100-33)=67 cards that are not divisible by 3, and then arbitrarily take 1 cards that are multiples of 3, we can meet the requirements: 67+ 1=68 (cards)1 8129 1 1 0 What I want: The best a. The minimum value is11. 12. As shown in the figure, each of the six sides of the regular hexagon ABCDEF has only one intersection with the circle, and the regular hexagon A1b1d1e1f1 It is known that the area of regular hexagonal ABCDEF is 144 cm2. What is the area of a regular hexagon a1b1c1d1e1f1?