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例题(2014年高考辽宁理科卷第16题)对于c>0,当非零实数a,b满足4a2-2ab+4b2-c=0且使|2a+b|最大时,3a-4b+5c的最小值为_____.该题的特点是:条件等式元多、幂高、元难分难割,阶梯式的两次发问,有解答题的韵味.求解本题的关键是第一次求最值,变量分离、消元、降幂是例题立意的三个能力点,所需知识随所选用的方法迁移,用应试者最有实力的知识与方法解决,方能显出“英雄本色”.
Example (Question 16 of 2014 LiaoNing Science Volume) For c> 0, when the nonzero real numbers a, b satisfy 4a2-2ab + 4b2-c = 0 and maximize | 2a + b | The minimum value of _____. The title of the problem is: the condition of the yuan and more, high power, difficult to split yuan, stepped two questions, there is the charm of the answer questions. Solve the problem is the first time seeking the most Value, variable separation, elimination, exponentiation is the case of the three conceptions of the ability point, the required knowledge with the selected method of migration, with the most powerful candidates to solve the knowledge and methods to be able to show .