不等式的解法不等式的解法不等式的解法不等式的解法1.一元二次不等式2.一元高次不等式3.无理不等式4.绝对值不等式类型类型mdcxbax)2(a)x(fa)x(f)1(或形如定理定理bababababa)iv(baba)iii(baba)ii(baba)i(,Rb,a)1(1”号的条件:取“分别求下列不等式定理例0ab)i(0ab)ii(0abba)iii(且0abba)iv(且___________________________0abxcx0,xxx0cbxax)2(22解集是则不等式其中或是解集若不等式1x1x41x2x)2(2x33x21x1)1(2解不等式例)13x(log)15x2x(log)2(3x1x)1(3525解不等式例.m,MN,0m5x)m2(xxN,010x7xxM.422的取值范围求实数且设集合3x0x.D6x0x.C5.2x0x.B2x0x.A)(x2x2x3x30x.1的解集是不等式组练习:C,2.D,1.C.BR.A)(012x1x.2解集是不等式D___________k,k2x1x,Rx.3的取值范围是则恒成立不等式对任意3k___________a,0)5x)(2x(0)ax(x0)5x)(2x(.4的取值范围是则同解等式与不不等式组2a3x4x3x4x.522解不等式.b,a),b,4(23axx.6的值求解集为的若不等式98033.7xx解不等式.a,x05ax)2a(8x8.824的取值范围求实数均成立对任意实数若