A counterexample is given to show that the following proposition is a false proposition, [1] if a > b, then 1 / A

A counterexample is given to show that the following proposition is a false proposition, [1] if a > b, then 1 / A


【1】a=1,b=-1
【2】 150 ° and 30 ° complement each other



Give counter examples to show that the following propositions are false propositions
1. Two complementary angles are equal
2, if a is nonnegative, then a > 0
3, the same angle
4. The complement of an angle must be obtuse


If a is a non negative number, then a > 0, a = 0, a is not a negative number, and a is equal to the same position angle. This is because when two lines are parallel, the outer angle of a triangle and the non adjacent angle are the same position angle, but they are not equal



How many cubic meters is one liter?


1 liter = 1 cubic decimeter
1 liter = 1000 CC
1 ml = 1 cc
1 liter = 0.001 cubic meter



There are some fruits, 15 of which are sold on the first day, and the remaining 49 on the second day. A total of 50% of these fruits are sold on the two days______ .


15 + (1-15) × 49 = 15 + 45 × 49, = 15 + 1645, = 59



If 2A = 3b, a is not equal to 0, and B is not equal to 0, then 3b is equal to 178


2a=3b
a/b=3/2
3b and 178; 2a and 178;
=a²/b²×2/3
=(A / b) & { 178; × 2 / 3 brings a / b = 3 / 2 in
=(3/2)²×2/3
=3/2



If the real part and imaginary part of the complex number (1 + AI) (2 + I) are equal, then the real number a is equal______ .


∵ complex number (1 + AI) (2 + I) = 2-A + (2a + 1) I, and the real part and imaginary part of complex number (1 + AI) (2 + I) are equal, ∵ 2-A = 2A + 1, the solution is a = 13, so the answer is 13



The speed of a car is 100 kilometers per hour, which is 25% faster than that of a bus. The speed of a bus is 100 kilometers per hour


100 ÷ (1 + 25%) = 80 km / h



The sum of two natural numbers is 56, their greatest common factor is 7, and these two numbers are not multiples. These two numbers are


Let 56 = 7x + 7Y,
Then x + y = 8,
When x = 1, y = 7, y is 7 times of X, which does not conform to the meaning of the question;
When x = 2, y = 6, y is three times of X, which is not in line with the meaning of the question;
When x = 3 and y = 5, the two numbers are 21 and 35, which are in line with the meaning of the question;
When x = 4, y = 4, y is 1 times of X, which is not in line with the meaning of the problem,
To sum up, these two numbers are 21 and 35



Does the nth power of 0 make sense?


0 to the power of 0 is meaningless
The negative power of 0 is meaningless
n> When 0, the nth power of 0 = 0



The price of group tour tickets is as follows: 10 yuan for less than 50 people (including 50 people), 8 yuan for 51 ~ 100 people (including 100 people), and 6 yuan for more than 100 people
Today, there are two tourist groups, a and B, who buy tickets separately, and they pay a total of 920 yuan. If they buy together, they only need to pay 636 yuan. How many people are there in each group?


36,70