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认真研读浙江省数学文理两份考题,可圈可点的题很多,其中笔者尤感兴趣的是文科第9题,第10题(理科第17题).下面就这两道题谈一些解题感受.1.(2014年浙江文9)设θ为两个非零向量a,b的夹角.已知对任意实数t,|b+ta|的最小值为1().(A)若θ确定,则|a|唯一确定(B)若θ确定,则b唯一确定(C)若|a|确定,则θ唯一确定(D)若|b|确定,则θ唯一确定考题解说:本题既传统又新颖,有明显的浙江特色——表述简洁,选项对称优美.本题以几何为背景,以向量为载体,入口宽阔,解法多样;紧扣概念,体现本质;立意清晰,背景深刻;渗透思想,能力到位,是一
Seriously study two textbooks in Zhejiang Province mathematics and literary theory, a remarkable number of questions, of which the author is particularly interested in liberal arts 9th, 10th (Science 17th). Below on these two issues to talk about some problems (1) In the paper, we consider θ as the angle between two nonzero vectors a and b, and it is known that the minimum value of | b + ta | for any real number t is 1 () θ is determined, then | a | is uniquely determined (B) if θ is determined, then b is only determined (C) if | a | is determined, then θ is uniquely determined (D) Both traditional and novel, there are obvious characteristics of Zhejiang - the expression is concise, the choice of symmetry is graceful.This question takes the geometry as the background, takes the vector as the carrier, the entrance is broad, the solution is various, closely linked to the concept, manifests the nature, the conception is clear, the background is profound, Thought, ability in place, is one