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不等式(组)中蕴涵着丰富的数学思想,现列举几种主要的数学思想,供同学们学习时参考.一、类比思想由于不等式与方程在形式、解法上有许多相似之处,因此我们可以借助方程来解决许多与不等式有关的问题.例1若关于x的不等式3m-2x<5的解集是x>2,则实数m的值为____.分析:比较一元一次不等式与一元一次方程的解法,可以发现当不等式3m-2x<5的解集是x>2时,方程3m-2x=5的解是x=
The inequalities (groups) contain abundant mathematical ideas, and now list several major mathematical ideas for reference when students learn. First, analogy ideas Because inequalities and equations have many similarities in form and solution, we can Solve many problems related to inequalities by means of equations. Example 1 If the solution set of inequality 3m-2x<5 for x is x>2, then the value of real number m is ____. Analyze: Compare one indefinite inequalities and one univariate equations. For the solution, we can find that when the solution set of inequality 3m-2x<5 is x>2, the solution of equation 3m-2x=5 is x=