In the plane rectangular coordinate system, O is the coordinate origin, a (1,1), a point P is determined on the x-axis, so that △ AOP is an isosceles triangle, then the point P that meets the condition has () A. 4 B. 3 C. 2 d. 1
(1) If Ao is the waist, there are two cases: 1. When a is the vertex of vertex, P is the intersection of the circle with a as the center and OA as the radius with X axis. If OA is the bottom, P is the intersection of the perpendicular of OA with X axis. 2. When O is the vertex of vertex, P is the intersection of the circle with o as the center and OA as the radius with X axis
RELATED INFORMATIONS
- 1. It is known that (2, - 1) is a solution of the equation kx-y = 0, then the quadrant that the image of a straight line y = KX + 1 does not pass through is A: First quadrant B: second quadrant C: third quadrant D: fourth quadrant Given that Y1 = - x + 2, y2 = x + 4, when x takes what value, Y1 > Y2?
- 2. The following operation is incorrect () A. x2•x3=x5B. (x2)3=x6C. x3+x3=2x6D. (-2x)3=-8x3
- 3. The following propositions: 1) the vertex angles are equal; 2) the two base angles of isosceles triangle are equal; 3) the two straight lines are parallel and the apposition angles are equal Among them, the converse proposition is the true proposition_______ Why not?
- 4. Why? Who is the killer? Why? Page 4
- 5. logical reasoning 1. If Zhang Sheng likes photography, he will like traveling. If he doesn't like photography, he will like driving. However, if Zhang Sheng doesn't like traveling, he won't be interested in driving. Therefore, Zhang Sheng () A like traveling B like driving C don't like driving d like photography 2 'the unit price of a store's goods is 75 yuan. It can sell 500 pieces. If the unit price is 1 yuan, it will sell 20 pieces less. In order to make the sales bigger, the unit price can be set as () A 50 yuan B 28 yuan C 27 yuan d 20 yuan 3. Xinjiang: Jiangsu: Suzhou () A Beijing: Nanjing: Yangtze River B Aerospace: Spacecraft: Astronauts C Yunnan: Anhui: Hefei D Shandong: Liaoning: Qingdao That's the second question, so I can't understand it
- 6. Logical reasoning for help, thank you one At the beginning of the year, in order to motivate employees to work hard, a company decided to select the "star of the month" according to their monthly performance. In the first 10 months of the year, Wang was elected as the "star of the month" only in four consecutive months. His other three colleagues, Zheng, Wu and Zhou, also did this (1) Wang and Zheng were elected at the same time for only three months; (2) Zheng and Wu were elected at the same time for only three months; (3) Wang and Zhou were not elected in the same month; (4) Only two were elected at the same time in July; (5) At least one was elected in January According to the above information, what is the month in which Wang was elected as the "star of the month" A. January to April B. March to June C. April to July D. May to August
- 7. What is logical reasoning
- 8. The annual electricity price of an area is 0.8 yuan and the annual electricity consumption is 100 million kwh. The annual plan is to adjust the electricity price to 0.55-0.75 yuan. According to calculation, if the electricity price is adjusted to X Yuan, the new electricity consumption of this year is y billion kWh and (x-0.4) yuan in inverse proportion, and when x = 0.65, y = 0.8 billion kwh (1) Write the relation between Y and X (2) If the electricity price is not higher than 0.5 yuan, at least how many kilowatt hours of new electricity will be added?
- 9. As shown in the figure, ab = AC, ∠ BAC = 120 ° in △ ABC, the vertical bisector EF of AC intersects AC at point E and BC at point F. verification: BF = 2cf
- 10. A math problem in grade two of junior high school In the plane rectangular coordinate system, the point whose abscissa and ordinate are integers is called integral point. The unit length of the coordinate axis is 1. The integral point P starts from the origin o, and its velocity is 1 unit length / s, and it only moves to the right or upward. Two integral points (0,1), (1,0) can be reached in one second, three integral points (0,2), (1,1), (2,0) can be reached in two seconds, and (0,3), (1,2), (2,2) can be reached in three seconds, 1) (3,0) four integral points (1) When p starts from O for 4 seconds, which punctuality can p reach? (2) How many seconds did P move when it reached (65,3)? (3) Write all the punctual points you can reach in 8 seconds
- 11. The questions are as follows: It is known that BC = 3, AC = 4, BC = 5 in} ABC. If} ABC is folded along the longest side AB so that} ABC 'and} ABC are in the same plane, then CC' is equal to A .12/5 B.5/12 C.5/6 D.24/5 BC = 3, AC = 4, ab = 5, sorry!
- 12. If Zhang Sheng likes photography, she will like traveling; if he doesn't like photography, he will like driving; but if Zhang Sheng doesn't like traveling, he won't be interested in driving According to this, it can be concluded that: A. Like traveling, B. like driving, C. don't like driving, D. like photography Please write the answer
- 13. Finding positive solutions to logical reasoning problems An adult asked his child to buy apples, gave him 3 yuan and asked him to buy 4 apples, but each apple was 2.5 yuan, but the child still had 40 cents left after he bought the apples. Q: How did he buy them?
- 14. Please help to solve a logical reasoning problem According to the statistics of the health and Quarantine Department of S City, compared with last year, the number of enteritis patients in this city has decreased significantly. Authorities believe that this is because the city's drinking water purification project has officially put into use Which of the following can't weaken the above authority's conclusion A. Compared with natural drinking water, the purified drinking water in s city lacks several important trace elements B. The drinking water purification project in s city started five years ago and was officially put into use the year before last C. Last year, s city carried out strict sanitation inspection and rectification on catering industry, especially on the stalls with poor sanitation conditions D. Due to the introduction of new diagnostic techniques, many cases previously diagnosed with enteritis were diagnosed with intestinal ulcer this year
- 15. Logical reasoning problem Only one of a, B, C and D got excellent in a certain technical examination. Only one of the following four judgments about their examination results is true. Ask: who is the outstanding one? Which judgment is true? Write down the reasoning process 1) If a does well, then B does well The one with excellent results is C A is the best, not b 4. The one with excellent results is a or D
- 16. Logical reasoning problem, The four people's cars are white, silver, blue and red. When they were asked about the colors of their cars, a said: B's car is not white. B said: C's car is red. C said: D's car is not blue. D said: there is one person in a, B, C's car is red, and only this person is telling the truth. If Ding is telling the truth, what colors are a, B, C and D's cars?
- 17. Find the answer to this logical problem 8) The issue of money Now, on the table in front of you, there are 100 coins that face the sky is "Gong", and other coins that don't know the quantity and face the sky is "Hua". Then your eyes are covered. (you can't remember the location of all the coins.) now you try to divide these coins into two parts, So that each coin has the same number of "male" coins (the number of "flower" coins does not need to be the same). How do you do it? Of course, suppose you can't feel with your hand whether the coin is "Gong" or "Hua", and no one will prompt you 9) In a 52 card playing card, shuffle the cards first, and then arrange them from left to right (all open). Now you and your friends take turns to take cards, one at a time, and each card can only be taken from the leftmost or rightmost end. After taking the cards, you and your friends add up the number of cards you get (J, Q, K represent 11, 12, 13), whose number is the biggest, Who is the winner. If the number is the same, it is equal. If you are the first, how do you plan an invincible strategy?
- 18. A logical reasoning problem, In the past five years, five w-160 passenger planes have been crashed. In the face of the accusation that the w-160 design was wrong, the w-160's life is not good The manufacturer explicitly denied it on the ground that every investigation into the w-160 air crash showed that the cause of the crash was flying The operator made a mistake Which of the following must be assumed in order to make the above refutation of the manufacturer Tenable? A if the pilot doesn't make mistakes, the w-160 won't crash B the pilot's misoperation has nothing to do with the design of any part of the w-160 C the conclusion of every investigation on w-160 air crash is credible The answer is to choose B and C. why not choose a? Please analyze in detail,
- 19. Find the answer to the logical reasoning problem about Apple Ten baskets of apples and one basket of inferior products 10 liang of genuine products and 9 liang of defective products Weigh once to find the defective product
- 20. Asking for help on some questions of logical reasoning If the following reasoning is valid, write the form if it is valid, and if it is invalid, explain the error Some people are not young people, so some young people are not people 2. Platypus is oviparous, platypus is Brucella, so all Brucella are oviparous 3. All laws are compulsory, so all compulsory laws are laws 4. This is syllogism, the third case, this syllogism is AAI type, this syllogism is AAI type of the third case 5. The offender is guilty of theft or robbery, and the offender is guilty of theft. Therefore, the offender is not guilty of robbery 6. If it's too hot, it's uncomfortable. If it's too cold, it's uncomfortable. It's either too hot or too cold. In a word, it's uncomfortable 7. Only by changing the price system can we enhance the vitality of enterprises