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190407	ABCD is a square whose center is O. M is the midpoint of BC. P is a point on AB. The sum of the length of AO, OM, and MC is equal to the sum of the length of AP and PC. AP/BP=？
190407	f(m,n)= $(-1)^{m}$ $\frac{n}{2m+n}$ ,g(n)=min{f(1,n),f(2,n),f(3,n)}.当n = 1,2,3时,g(n)的最大值是多少?
190407	a,b,c,d are integers. 1 ≤ a,b,c,d ≤ 9.(a+d)(b+c)=? 1:abcd+dcba=7557. 2:abcd+dca=1832
190407	x is a positive integer. Is 24 a factor of x? 1: 48 can be divided by 3x. 2: 60 can be divided by 5x.
190407	There are 5 boys and 3 girls. What is the probability of selecting at least one boy when three of them are chosen randomly?
190407	In the quadrilateral ABCD, AB//CD, BC// AD. AB=6, BC=8. What is the maximum area of ABCD?
190407	All the students in a class can sing or dance. The number of students who can both sing and dance is one fifth of those who can sing and one fourth of those who can dance. How many times as many students can only sing as those can only dance?
190407	f(x)= $x^{2}$ $(1-x)^{2}$ . f(1-x)=?
190407
190407	$a_n$ = $a_{n-1}$ - $b_{n-1}$ , $b_n$ = $a_{n+1}$ + $b_{n+1}$ . $a_1$ =1, $a_2$ =2. $a_4$ =?
190407	$\frac{4}{(\sqrt{5}-1)(\sqrt{5}+1)}$ =?

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