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1.
(2024九上·贵阳期末)
在平面直角坐标系中,一次函数y=ax+b(a≠0)的图象与反比例函数
(k<0)的图象交于第二、四象限内的A , B两点,与x轴交于C点,过点A作AD⊥y轴,垂足为点D , OD=3,
, 点B的坐标为(c , ﹣2).
![](//tikupic.21cnjy.com/2024/01/27/a5/2f/a52ffb7ad2ddb86def67eb4c8f6ce9e6_213x178.png)
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(2)
根据图象直接写出使
ax+
b<
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmfrac%3E%3Cmrow%3E%3Cmtext%3Ek%3C%2Fmtext%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmtext%3Ex%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3C%2Fmath%3E)
成立的
x的取值范围;
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(3)
形如
x2﹣
a>0(
a为常数,
a>0)的解集为:
x>
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmsqrt%3E%3Cmrow%3E%3Cmi%3Ea%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmsqrt%3E%3C%2Fmath%3E)
或
x<﹣
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmsqrt%3E%3Cmrow%3E%3Cmi%3Ea%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmsqrt%3E%3C%2Fmath%3E)
, 过点
M(6,0)作垂直于
x轴的直线
MN , 直线
y=
x+
n与双曲线
y=
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmfrac%3E%3Cmrow%3E%3Cmtext%3Ek%3C%2Fmtext%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmtext%3Ex%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3C%2Fmath%3E)
(
k<0)交于点
P(
x1 ,
y1),
Q(
x2 ,
y2),与直线
MN交于点
R(
x3 ,
y3),若
y1<
y2<
y3时,求
n的取值范围.
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