Given the equation x ^ 2-4x + 5 + a (1 / 2 of x) = 0, if a is a positive real number, then the following judgment is correct A. There are three unequal real roots B. There are two unequal real roots C. There is one real root d. There are no real roots

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• 1. Three judgment questions in exercises of prime number and composite number 1) (2) 3 is a divisor and 12 is a multiple 3) 16 is a multiple of 16 and a divisor of 16. 4) 1 is a divisor of any natural number 5) Because 5 △ 2 = 2.5, 5 is a multiple of 2 and 2 is a divisor of 5 6) 0 is a natural number and also an integer. () 7) 48 is divisible by 6, and 48 is divisible by 6 8) The divisor of a number is always smaller than the multiple. (9) natural numbers can be divided into prime numbers and composite numbers according to the number of divisors 10) The number of bits divisible by 3 is 3, 6, 9. (11) 29 is divisible by 5 12) 21 △ 7 = 3, 21 is a multiple, 7 is a divisor. (13) because 2.8 △ 0.7 = 4, 2.8 can be divided by 0.7 14) 15) odd plus odd, sum must be even 16) Even number × odd number = even number () 17) even numbers greater than 2 are composite numbers 18) Even numbers are composite numbers, prime numbers are odd numbers. () 19) the product of two prime numbers must be composite numbers 20) The sum of two prime numbers must be a composite number Fill in "right" or "wrong" in parentheses. Write down some controversial questions and your reasons For example; 13) Because 2.8 △ 0.7 = 4, 2.8 can be divided by 0.7 If right, why right, if wrong, why wrong, explain
• 2. The prime number has at most two factors, and the combined number has at least three factors Prime number has 2 factors at most, total number has 3 factors at least, judge right or wrong fast!
• 3. The sum of two prime numbers must be a composite problem
• 4. Judgment questions 1, 0 are even numbers () 2, 2 are composite numbers () 3, 1 is the smallest prime number () 4, in three digits, the smallest prime number is 101 () 5. A nonzero number with at least two divisors () 6. Prime number is prime factor () 7. 9 and 6 are the prime factors of 54 () Check right, cross wrong
• 5. From 1 to 10, the total numbers are 4, 6, 8, 9 and 10, and the rest are prime numbers______ ．
• 6. 1, 2, 3, 4 and 9 are odd and prime numbers, even numbers are not composite numbers, even numbers are composite numbers, even numbers are composite numbers. Give me 60 minutes
• 7. Who are prime numbers? Who are composite numbers? Who are odd numbers? Who are natural numbers?
• 8. The sum of not even numbers within 20 is () and the prime of not odd numbers is ()
• 9. 1. Which of the numbers 2, 3, 7, 9, 15, 78, 150 are composite numbers in odd numbers and which are prime numbers in even numbers
• 10. In 1, 2, 3, 4, 9, 41 and 51, () is odd, () is even, () is prime, () is composite, () is odd but not even In 1, 2, 3, 4, 9, 41 and 51, () is odd, () is even, () is prime, () is composite, () is odd but not prime, () is even but not composite In non-zero natural numbers, the smallest prime number is (), the smallest composite number is (), the smallest odd number is (), and the smallest even number is () The maximum factor and the minimum multiple of a number are 24. This number is () and its divisor is () Given a = 2 × 3 × 5, B = 2 × 3 × 3, then the greatest common factor of a and B is () and the least common multiple is () Add three different numbers after 837 to form a minimum six digit number () A = 2 × 3 × 7, B = 3 × 5 × 7, the greatest common factor of a and B is (), and the least common multiple of a and B is () The sum of two continuous natural numbers is 13. The greatest common factor of these two continuous natural numbers is () and the least common multiple is () If a = B + 1, a and B are all natural numbers greater than 0, then the greatest common factor of AB is () and the least common multiple () Write all the factors of 10 as (). Among these factors, () is prime number, () is composite number, () is neither prime nor composite number There are 12 or 16 students in each row in class one of grade five in a primary school. There is one more in each row. There are less than 60 students in this class, and there are () students in this class In the formula 24 = 3 × 8, 3 and 8 are the () A prime factor B factor C prime number Natural numbers are made up of () A odd and even B prime and composite C prime, composite and 0 Two different odd sums must be () A prime B odd C Composite Two numbers () two numbers are infinite A common factor B common multiple c common factor and common multiple The product of multiplication of any two different prime numbers has at least () different factors A4 B3 C cannot be determined judge Two numbers are coprime, and their greatest common factor is 1 () The sum of minimum natural number, minimum prime number and minimum composite number is 7 () In non-zero natural numbers, except prime numbers, they are composite numbers () When counting 2492 ／ 43, you usually look at the divisor () to test the quotient. If you don't count it, you can see that the quotient of this problem is () digits After subtracting four times from 120, the result is 12 If two numbers are divided, the quotient is 9, the remainder is 6, and the smallest divisor is () Seven out of nine fractional units are (), it has () such units, plus () so that the units become the minimum prime Describe two subtraction expressions () and () Write two division expressions () and () The quotient of a divided by B is 0.4, the sum of a and B is 21, a is (), B is () If two numbers are multiplied, the product is 10.8. If one factor is multiplied by 10 and the decimal point of the other factor is moved one place to the left, then their product is () If the divisor and divisor are reduced to 10 times of the original, the quotient is (), and the remainder is () Application problems (each step is detailed, solved by arithmetic) A runs 3 meters per second, B runs 4 meters per second, C runs 2 meters per second. The three run from the same point along the 600 meter circular track. How long does it take for the three to start from the starting point at the same time In PE class, there are 40 students playing trampoline. If every 6 students are just divided into a group, how many more people will be needed at least?
• 11. As shown in the figure, it is known that the straight line M: y = - 1 / 2x + B intersects with the X axis at a (15,0). Take OA as one side, make a rectangle oabc, B in the first quadrant As shown in the figure, it is known that the straight line M: y = - 1 / 2x + B intersects with the X axis at a (15,0). Take OA as one side, make a rectangle oabc in the first quadrant. BC intersects with the straight line m at point D, connecting OD, and od is perpendicular to the straight line M. (1) calculate the length of OD (2) Fold the rectangle along a straight line n so that point B falls on the coordinate axis F and connect BF. Let BF intersect with the straight line n at point P. if point P just falls on the straight line m, calculate the coordinates of point F
• 12. If the parameter equation of the line L is x = 1 + 3ty = 2-4t (t is the parameter), then the cosine of the inclination angle of the line L is___ ．
• 13. The first question of x ^ 3-3ax ^ 2-9a ^ 2x-a ^ 3, when a = 1, is to find the extremum. The answer is derivative. I can't understand it, I study literature, so I'd better hurry up and have no requirements. There should be no problems for people above grade three in senior high school, so I don't give too many rewards. To promote the ideological and moral construction, we should take serving the people as the core, collectivism as the principle, focus on improving the sense of honesty, love the motherland, love the people, love labor, love science, love socialism as the basic requirements, and social morality and professional ethics as the core, Focusing on family virtues and personal morality, we should carry out the party's basic theory in depth~
• 14. The symmetry axis of parabola y = x ^ 2-5 (M + 1) x + 2m is Y axis,
• 15. My favorite fruit is banana?
• 16. Find the slope and inclination angle of the straight line passing through points a (3.5) and B (A.2)
• 17. 12. The greatest common factor and the least common multiple of 16 and 30 24、16、18、 14、21、42、 22、77、42、 Say pull down, use short method, step by step, how to seek
• 18. As shown in the diamond ABCD in the figure, ∠ ABC = 120 °, f is the midpoint of DC, the extension line of AF intersects the extension line of BC at e, then the degree of the acute angle between the straight line BF and the straight line De is () A. 30°B. 40°C. 50°D. 60°
• 19. The two numbers are composite numbers, and their greatest common factor and least common multiple are 1 and 120 respectively?
• 20. If OA vector and ob vector are not collinear, let om vector = λ OA vector + μ ob vector (λ, μ∈ R) prove: if a, B and m are collinear, then λ + μ = 1