简易琴生不等式两则,能使你在繁重的中考学习压力下锻炼思维,获得成功的快感!!! 1.x,y,z\in \mathbb{R}^+,xyz=1,证明: \frac{x^3}{(1+y)(1+z)}+\frac{y^3}{(1+x)(1+z)}+\frac{z^3}{(1+x)(1+y)}\geq\frac{3}{4} 2.\alpha>\beta>0.a_1,a_2,...a_n\in\mathbb{R}^+,证明: (……

注意:理解曲线系最重要的要点是将某方程F(x,y)=0中的多项式F(x,y)当做关于一点坐标的函数.当一点(m,n)在F(x,y)=0的图像上时,便满足F(m,n)=0 1.先从一道不能算曲线系精髓的直线系题目说起 如图AD平分∠BAC,AD上任取一点E,使得BE交边CD于F,CE交边BD于G 求证AD平分∠GAE ……

Simple 思考题 Ninja Try to find any of three integers X,Y,Z in a given integer array A of length N so that X+Y=Z. Example Input: A={1,2,3} Output: X=1,Y=2,Z=3 Input: A={0} Output: X=0,Y=0,Z=0 Input: A={1,9,2,6,0,8,1,7} Output: X=1,Y=8,Z=9 Input: A=……

思考题 greedy? SMM Have you ever played Super Mario Maker (2)? There's an interesting mode called Endless Challenge. Let's look at a simplified version: The game contains N levels. The player plays from level 1 to level N in order. In Level i, ther……

思考题 long ago Chess Ninetail and Doragon are playing Global Chess on a chessboard with N*M grids. The left-upper corner is (1,1) and the right-lower corner is (N,M) The Global Chess goes as follows: Each player has some soldiers. Ninetail plays ……

$[问题]证明\pi是无理数$ math latex中文字为解答,斜体文字为注释 [解答]首先还是老套路,设\pi=\frac{a}{b} 令f(x)=\frac{x^n(a-bx)^n}{n!}① 之所以要写成这种分母为n!的形式,是为了方便后面用麦克劳林展开比较系数 所以f(x)=\frac{b^nx^n(\pi-x)^n}{n!}② 由②易得f(x)……

思考题 with song 75 There have been 73 heroes failing to rescue the princess, and the 74-th was killed by the princess. As the 75-th knight, you decided to become stronger so that you would survive the princess's attack. You are given a directed g……

Readers, we present, the Ultimate Reading Comprehension Challenge! If you don't know what Reading Comprehension is, it's about you are given a passage, you read it and answer the question. Sounds neat, but this time we will something crazy! We'll g……

思考题 with anime Unlimited Fafnir After watching the famous anime Unlimited Fafnir, XGN got excited. So he decided to recreate the scene of fighting the Basilisk. This time, Yuu is going to do it himself. Let's suppose the world is a 2D plane. The……

思考题so late? Dazzit Again This is an easy version of OBCYSIO 28) You are given an integer sequence A of length N and another sequence B of length M. Then imagine a game: First, you choose exactly M different elements and arrange them, let's call ……