版选修4_5.pptx

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1.1.1 不等式的基本性质,本节目标,1.理解实数大小与实数运算性质间的关系 2.理解不等式的性质,能用不等式的性质比较大小和证明简单的不等式,前置学习,前置学习,前置学习,前置学习,前置学习,前置学习,前置学习,前置学习,ab,ac,ac,acbc,acbc,acbd,不等式的基本性质,【提示】 要先判断这个数是否为零,决定是否可以乘以(或除以)这个数,再判断是正还是负,决定不等号的方向是否改变,特别注意不等式两边同乘以(或除以)同一个负数时,不等号方向改变,【规律总结】运用不等式的性质时要注意条件,如倒数法则要求两数同号;两边同乘一个数,不等号方向是否改变要视此数的正负而定;同向不等式可以相加,异向不等式可以相减,利用不等式的性质求范围,利用性质证明简单不等式,【规律总结】1在证明本例时,连续用到不等式的三个性质,一是不等式的乘法性质:ab,则aab0,又ab,则0cacb;三是倒数性质最后再次用到不等式的乘法性质 2进行简单的不等式的证明,一定要建立在记准、记熟不等式性质的基础之上,并仔细分析要证明不等式的结构,灵活运用性质,对不等式进行变换,本课小结,

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