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【331014】4.6 一元二次方程根与系数的关系 分层练习

时间:2025-01-21 13:30:46 作者: 字数:2515字
简介:

一元二次方程根与系数的关系 练习题

A

1.一元二次方程 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 有两个不相等的实数根,则 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的取值范围是( )

A <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> B <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> C <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> D <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a>

2.若 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 是方程 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的两个根,则 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的值为( )

A <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> B <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> C <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> D <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a>

3.已知菱形ABCD的边长为5,两条对角线交于O点,且OAOB的长分别是关于 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的方程 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的根,则 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 等于( )

A <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> B <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> C <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> D <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a>

4.若 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 是一元二次方程 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的根,则判别式 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 和完全平方式 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的关系是( )

A <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> B <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> C <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> D.大小关系不能确定

5.若实数 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> ,且 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 满足 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> ,则代数式 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的值为( )

A <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> B <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> C <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> D <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a>

6.如果方程 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的两根相等,则 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 之间的关系是 ______

7.已知一个直角三角形的两条直角边的长恰是方程 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的两个根,则这个直角三角形的斜边长是 _______

8.若方程 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的两根之差为1,则 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的值是 _____

9.设 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 是方程 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的两实根, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 是关于 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的方程 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的两实根,则 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> = _____  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> = _____

10.已知实数 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 满足 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> ,则 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> = _____  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> = _____  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> = _____

11.对于二次三项式 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> ,小明得出如下结论:无论 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 取什么实数,其值都不可能等于10.您是否同意他的看法?请您说明理由.



12.若 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> ,关于 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的方程 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 有两个相等的的正实数根,求 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的值.




13.已知关于 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的一元二次方程 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a>

(1) 求证:不论为任何实数,方程总有两个不相等的实数根;

(2) 若方程的两根为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> ,且满足 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> ,求 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的值.




14.已知关于 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的方程 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的两根是一个矩形两边的长.

(1)  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 取何值时,方程存在两个正实数根?

(2) 当矩形的对角线长是 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 时,求 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的值.










B

1.已知关于 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的方程 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 有两个不相等的实数根 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a>

(1)  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的取值范围;

(2) 是否存在实数 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> ,使方程的两实根互为相反数?如果存在,求出 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的值;如果不存在,请您说明理由.




2.已知关于 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的方程 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的两个实数根的平方和等于11.求证:关于 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的方程 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 有实数根.




3.若 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 是关于 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的方程 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的两个实数根,且 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 都大于1

(1) 求实数 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的取值范围;

(2)  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> ,求 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 的值.




答案


A

1B 2A 3A 4A 5A

6 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a>

73 89 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 9 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a>

10 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 11.正确 124

13 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a>

14 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a>


B

1 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> (2) 不存在

2 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> (1) <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 时,方程为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> ,有实根;(2)  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 时, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> 也有实根.

3(1)  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a> (2)  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/151/" title="关系" class="c1" target="_blank">关系</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/922/" title="系数" class="c1" target="_blank">系数</a>