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高中数学新教材在每章的序言、问题引入、例题、习题、《阅读材料》、《探究与实践》中都编排了一定量的应用问题,近几年的上海高考也出现了一些设计新颖、源于课本却高于课本的应用题.如2012年上海高考第21题就是一个很好的例子,考查学生是否具有一定的应用意识和应用能力,同时鞭策着教师对自己的教学进行反思.题目:海事救援船对一艘失事船进行定位:以失事船的当前位置为原点,以正北方向为y轴正方向建立平面直角坐标系(以1海里为单位长度),则救援船恰好在失事船正南方向12海里A处,如图1.现假设:
High school mathematics textbooks in each preface, the introduction of problems, examples, exercises, “reading materials”, “inquiry and practice” are arranged a certain amount of application problems, in recent years the Shanghai college entrance examination also appeared some novel design, From the textbooks are higher than the textbook application questions such as the 2012 Shanghai college entrance exam No. 21 is a good example to test whether students have a certain sense of application and application capabilities, while spurring teachers to reflect on their own teaching. : Marine Rescue Vessel Positioning a Wrecked Vessel: Starting from the current position of the crashed vessel and establishing a Cartesian coordinate system (in units of 1 nautical miles) with the y-axis in the positive north direction, the rescue vessel happens to be in a crashed The ship is 12 nautical miles south A, as shown in Figure 1. Now assume: