1 1. Randomly draw 1 card from five cards with 1, 2, 3, 4 and 5 written on them, and then randomly draw 1 card after putting it back, so the probability that the number on the first card is greater than the number on the second card is
a . 1/ 10 b . 1/5 c . 3/ 10d . 2/5
The answer to this question is D.
13. The maximum value of the function f(x)=2cosx+sinx is.
The answer to this question is the root number five.
15. The length, width and height of a cuboid are 3, 2 and 1 respectively, and their vertices are all on the spherical surface of the ball O, so the surface area of the ball O is
The answer to this question is 14π.
16. The opposite sides of the internal angles A, B and C of △ A, B and C are A, B and C respectively. If 2bcosB= acosc+cccosa, then B=
The answer to this question is π/3.
17.( 12 points)
It is known that the sum of the first n terms of arithmetic progression {an} is Sn, and the sum of the first n terms of geometric progression {bn} is t n, a 1=- 1, b 1= 1, and a3+b2=2.
(1) If a3+b2=5, find the general formula of {bn};
(2) If T=2 1, find S 1.
The above are some questions and answers in the second volume of the national college entrance examination for liberal arts mathematics, for reference only.