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[几何] 钝角三角形坐标问题

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星奔川骛 posted 2024-6-16 23:07 |Read mode
令\(f\left( x\right)=ax^3+\left( a-1\right)x^2+x+C\left( a\ne0{,}C\in R\right)\)
若\(A\left( -4{,}f\left( -4\right)\right),B\left( 4{,}f\left( 4\right)\right),O\left( m{,}f\left( m\right)\right)\left( m\in\left( -4{,}4\right)\right)\)
且无论m取何值,都有钝角\(\triangle AOB\)存在,求a的取值范围

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