山东省德州市武城县四女寺镇中考数学复习练习一元二次方程第9课时一元二次方程根与系数的关系(二)(无答案).doc

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1一元二次方程根与系数的关系(二)1.已知方程 x2+3x+1=0的两个根为 x1、x 2,求(1+x 1)(1+x 2)的值.2、已知 21,是方程 032的两个根,不解方程,求下列代数式的值.x)( x21)( )3(21)3(x )(4212112)5( 21)6( 3、若 m,n 是方程 0124x的两个实数根,求代数式 mn2的值.4、已知关于 x的方程 )(22k的两个实数根的平方和是 11,求 k的值.(提示:使用根与系数关系的前提是判别式大于等于 零)5、练习: 若关于 x的方程 042m的两根是 x21,,且满足 12,求实数 m的值.6、应用拓 展:m 为何值时,(1)方程 01342x有两个不相等的正数根?(2)方程 的两根异号?

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