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去年在如皋第一中学举行了南通市高一数学教学研讨活动.笔者有幸在教学研讨活动中上了一节公开课,课题为“含参数不等式的解法”.这是一节新授课,内容源于苏教版必修5第71页的“思考·运用”中的第5题与第6题:5.(1)κ是什么实数时,方程x~2+2(κ-1)x+3κ~2-11=0有两个不相等的实数根?(2)已知不等式x~2-2x+k~2-1>0对一切实数x恒成立,求实数κ的取值范围.6.已知不等式ax~2+bx-1>0的解集是
Last year in Rugao First High School Nantong City, a high school mathematics teaching seminars. I was fortunate enough in the teaching seminars in a public course, the subject “This is a new method of teaching inequalities.” This is a new course, The content stems from Question 5 and Question 6 in “Thinking and Application” on page 71 of the Compulsory Rev. 5 of the Sujiao version 5. 5. (1) What is the real number κ when the equation x ~ 2 + 2 (κ-1 ) x + 3κ ~ 2-11 = 0 There are two non-equal real roots? (2) Known inequality x ~ 2-2x + k ~ 2-1> 0 For all real numbers x constant hold, find the real number κ The range of values is 6. The solution set for the known inequality ax ~ 2 + bx-1> 0 is