猜您喜欢：：向量三点共线定理可以直接用吗-三点共线定理可用 艺术类留学国家怎么选-艺术留学国家选 搬家公司从事什么业务(搬家公司业务) 中国百强大学最新排名(中国百强大学最新排名) 韦达定理推广定理-韦达定理推广公式 deskscapes怎么用-deskscapes使用指南 Shannon定理-香农信息论 城南旧事读书感悟50字-城南旧事感悟五十字 黑果焖鸡用英语怎么说-Black fruit stir-fried chicken 玉环市属于浙江哪个市-玉环市属浙江省玉环县
考研数学三十讲实际上不是那种你背下来就能拿分的大本营，它更像是一个带着你慢慢爬山的导游，别看路线挺长，间或会绕点弯，就连中途让你认定有点晕，但回头一看，深渊早就被填平了。 真正的数学思维，压根儿不是靠死记硬背公式堆出来的，而是靠那种“拍脑袋”就能推出来的直觉。比如三角函数，你绝对不敢在考试里死磕 $2sin(pi/3)$ 这种基础题，出于那忒像抄党章了。高手们的套路是，一眼看出题目要算的实际上是 $sin(2pi/3)$，直接套公式，然后心里默念一句“嗯，反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正反正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