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题1(泰州市2017届高三第一次调研测试14题)在平面直角坐标系xOy中,已知B,C为圆x~2+y~2=4上两点,点A(1,1),且AB⊥AC,则线段BC的长的取值范围为_____.学生初看到题目,难于入手.本题考试后统计的得分情况是:兴化市考生平均得分为0.7分,泰州大市考生平均得分为1.1分.下面呈现笔者对此题展开思考的过程,希望对学生的学习和考试能有所启发和帮助.先画个图(如图1),看能否从直观中发现解题
Problem 1 (Taizhou City, the third year of the third high school exam 14 test) In Cartesian coordinate system xOy, known B, C for the two points on the circle x ~ 2 + y ~ 2 = 4, point A ), And AB ⊥ AC, then the line BC long range is _____. Students first see the title, difficult to start. After the exam scores of this question are: Xinghua City, the average score of candidates 0.7 points, Taizhou University City candidate average score of 1.1 points below presents the author to think about the process of thinking in the hope that students learn and test can be inspired and help draw a map (Figure 1), see if you can find from the visual Solve the problem