Multiply all integers whose absolute value is less than 2014, and the product is

Multiply all integers whose absolute value is less than 2014, and the product is


Because one of the integers is zero, the product of these integers is zero



The sum of all integers whose absolute value is greater than one but less than 2014 is


The sum of all integers with absolute values greater than one and less than 2014 is 0



The sum of all integers whose absolute value is not greater than 2014 is______ .


All integers with absolute value not greater than 2014 are - 20142014, - 20132013 , - 2, 2, - 1, 1, 0, so according to the sum of two opposite numbers is 0, the sum of these numbers is 0, so the answer is: 0



What is the absolute value of one minus one half


Because the absolute value is positive, the result is 1 / 2



It is known that the equation (2m-6) x ^| m-2 | + (n-2) y ^ N2-3 = 0 is a quadratic equation of two variables with respect to X and Y. the value of M and N can be obtained


According to the known results:
|m-2|=1
n^2-3=1
2m-6 is not equal to 0
N-2 is not equal to 0
The solution is as follows
m=1,n=-2



Is there any difference when x is an integer, a fraction or an irrational number?
I hope to be more detailed


(x^e)' = e*x^(e-1)
(e^x)' = e^x
There is no difference in the case that x is an integer, a fraction, an irrational number, etc



As shown in the picture, fishing boats A and B go out to sea from port a at the same time. Boat a goes 30 ° northwest at the speed of 152 km / h, and boat B goes northeast at the speed of 15 km / h. boat a sails for 2 hours to reach C. at this time, boat a finds that the fishing gear is lost on boat B, so boat a catches up with boat B at 75 ° northeast at a fast (uniform) speed. As a result, the two boats collide at B (1) how long did it take ship a to catch up with ship B from C? (2) How many kilometers per hour does ship a catch up with ship B?


(1) As shown in the figure, ad ⊥ BC is made at point D. CG ∥ AE is made at point g. ∵ B is made to advance along the northeast direction, ∵ HAB = 45 °, ∵ EAC = 30 °, ∵ CAH = 90 ° - 30 ° = 60 °, ∵ cab = 60 ° + 45 ° = 105 °. ∵ CG ∥ EA, ∵ GCA = ∵ EAC = 30 °. ∵ ∵ FCD = 75 °, ∵ BCG = 15 °, ∵ BCA = 15 ° + 30 ° = 45 °, ∵ B = 180 ° - BCA - ∵ cab = 30 °. ACD = 45 ° in right angle △ ACD In the right angle △ abd, then AB = 2ad = 60km. Then the time for a to catch up with B from C is 60 △ 15-2 = 2 hours; (2) BC = CD + BD = 30 + 303km. Then the speed for a to catch up with B is (30 + 303) △ 2 = 15 + 153 km / h After 2 hours, the speed of boat a catching up with boat B is 15 + 153 km / h



(Jiaxing, 2010) if the natural number n causes the carry phenomenon of the addition operation "n + (n + 1) + (n + 2)" of three numbers, then n is called "continuous addition carry". For example, 2 is not "continuous addition carry", because 2 + 3 + 4 = 9 does not produce carry phenomenon; 4 is "continuous addition carry", because 4 + 5 + 6 = 15 produces carry phenomenon; 51 is "continuous addition carry", because 51 + 52 + 53 = 156 produces carry phenomenon If from 0, 1, 2 If you take any one of the 100 natural numbers, 99, the probability of taking the "continued addition number" is ()
A. 0.88B. 0.89C. 0.90D. 0.91


When n = 0, 0 + 1 = 1, 0 + 2 = 2, N + (n + 1) + (n + 2) = 0 + 1 + 2 = 3, not continuous addition; when n = 1, 1 + 1 = 2, 1 + 2 = 3, N + (n + 1) + (n + 2) = 1 + 2 + 3 = 6, not continuous addition; when n = 2, 2 + 1 = 3, 2 + 2 = 4, N + (n + 1) + (n + 2) = 2 + 3 + 4 = 9, not continuous addition; when n = 3, 3 + 1 = 4, 3 + 2 = 5, N + (n + 1) + (n + 2) = 3 + 4 + 5 = 12, not continuous addition; when n = 4, 4 + 1 = 5, 4 + 2 = 6, N + (n + 1) + (n + 2) = 4 + 5 + 6 = 15, which is a continuous addition According to the rule, we can see that 0, 1, 2, 10, 11, 12, 20, 21, 22, 30, 31, 32 are not, so there are 88 numbers in total. The probability is 0.88



In the chapter of frequency and probability of mathematics in the third grade of junior high school, we should pay attention to: (1) for the random events with few possible results, which are clear-cut and easy to classify, we often use (- -); for the random events which are more complex and difficult to express graphically, we often use (- -). What is the concept~


Note: when two factors are involved in an experiment and the number of possible results is large, the list method is used to list all possible results. 2. When three or more factors are involved in an experiment, the tree diagram is usually used



1. Today, there are one dime, one dime, five Dimes to one, four one yuan and two five yuan. How many different amounts of money can you pay with these coins?
A、117 B、118 C、119 D、120
2. When l = 1 / 3N, the probability of needle experiment is equal to
A、1/3n B、2/3n C、1/n D、3n/2
3. There is a rectangle. If you connect the middle points of its four sides in turn, you will get a diamond. If you cast a die into the rectangle, the probability of casting it into the shadow is 1 / 4. Please use a calculator to simulate this experiment and explain the experimental process
4. A and B two table tennis players in singles, the probability of two people to win is 1 / 2. Now the situation is that a as long as win two sets will win the championship, B to win three sets to the champion. A and B two champion probability of each?
5. The probability that any three of the five line segments with length of 1 and 9 form a triangle is 0
A、1/5 B、3/10 C、1/2 D、3/5


1. From the positive to analyze, involving repeated permutations and combinations, is obviously very complex, so we should change from the negative to analyze, from a corner to the highest value of 148, there are 148 kinds of currency value, from which you can remove the impossible currency value, and the impossible currency value should be 4 jiao, 9 Jiao, 1 yuan 4 jiao, 1 yuan 9 Jiao Up to 14 yuan and 40 Jiao, there are 29 currencies, so 148-29 = 119, that is 119
5. There are ten;
1,3,5;
1,3,7;
1,3,9;
1,5,7;
1,5,9;
3,5,7;
3,5,9;
3,7,9;
5,7,9;
1,7,9
According to the sum of the two sides of the triangle is greater than the third side, the difference between the two sides is less than the third side
3,5,7;
3,7,9;
5,7,9;
The probability is 0.3