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向量法以其独特的功能优势,将几何问题代数化,避开了寻求辅助线、辅助面的难点,降低了空间想象和演绎推理的难度,在解决立体几何空间线、面的位置关系,计算空间角与距离的问题中得以普遍使用.然而,经过向量法学习以后,由于部分学生偏爱向量坐标法,一遇到立体几何线面角问题,就不假思索,机械地建系、写坐标、计算.这种不恰当地机械重复,禁锢了学生学习几何的思想,导致思维僵化现象.对此,有必要在高考一、二轮
Due to its unique functional advantages, vector method algebraizes geometric problems and avoids the difficulty of seeking auxiliary lines and auxiliary surfaces, which reduces the difficulty of spatial imagination and deductive reasoning. However, after learning by vector method, some students prefer vector coordinate method to meet the problem of solid geometric surface angle without thinking, mechanical building, writing coordinate and calculating. This improper mechanical repetition imprisons students thinking of geometry, leading to the phenomenon of rigid thinking, which, it is necessary in the college entrance examination one or two