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2014年第25届希望杯赛高二第二试第9题:在平面直角坐标系x Oy中,△ABC的两个顶点A(3,0),B(0,4),若顶点C在抛物线y2=-2x上,则△ABC面积的最小值是()(A) 87/16 (B)178/16(C)217/16(D)435/16培养数学思维能力是多方面和多层次的,在数学的教与学中,我们既要重视培养善于抽象概括的“求同”思维,又要重视培养开阔发散的“求异”思维,还要重视培养大胆求变的“创新”思维,一题多解和对数学问题推广研究是培养这些思维能力的有效途径,下面对上述问题进行多方面的思考,得到了多
In the plane Cartesian coordinate system x Oy, the two vertices A (3,0), B (0,4) of △ ABC, if the vertex C is on the parabola y2 = -2x, then the minimum ABC area is () A / C 87/16 (B) 178/16 (C) 217/16 (D) 435/16 Developing mathematical thinking skills is multifaceted and multi-level In mathematics teaching and learning, we should attach importance to cultivating “seeking the same” thought that is good at abstract summarization, and also emphasizing the cultivation of “divergent thinking” that is broad and divergent, Innovative thinking, multi-pronged thinking and promoting research on mathematical problems are effective ways to cultivate these thinking abilities. The following are many ways to think about the above-mentioned problems and get more