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【329764】5.6 二元一次方程与一次函数 基础练习

时间:2025-02-05 18:06:59 作者: 字数:1641字


 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a>

5.6 二元一次方程与一次函数

一、填空题

1.已知直线 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 和直线 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a>

1)当__________时, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 相交于一点;

2)当__________时, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> ,此时方程组 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 的解的情况是________

3)当__________时, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 重合,此时方程组 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 的解的情况是________

2.无论 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 取何实数,直线 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 的交点不可能在第__________象限;

3.一次函数的图象过点A53)且平行于直线 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> ,则这个函数的解析式为________

4.在一次函数 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 的图象上任取一点,它的坐标________方程 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> (此空填“适合”或“不一定适合”).

5.以方程 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 的解为坐标的所有点组成的图象与一次函数________的图象相同.

6.一次函数 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a>  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 的图象的交点坐标为_______,则方程组 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 的解为_______.

二、解答题

7.已知两直线 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a>

1)在同一坐标系中作出它们的图象

2)求它们的交点A的坐标

3)根据图象指出 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 为何值时, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 为何值时, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a>

4)求这两条直线与 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 轴所围成的△ABC的面积




8.在平面直角坐标系中有两条直线: <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> ,它们的交点为点P,且它们与 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 轴的交点分别为AB,求

1)在同一坐标系中作出两条直线的图象

2)求AB两点的坐标和△PAB的面积

参考答案

1.(1 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a>

2 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> , 无解

3 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> , 无数解

2.三

3 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a>

4.适合

5 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a>

6.(2-1), <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a>

7.(1)图略 (2)(33

3)当 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 时,y1y2 ;当 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a> 时,y1y2.

4 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a>

8.(1)图略 (2A-30),B43, <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/197/" title="基础" class="c1" target="_blank">基础</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/885/" title="函数" class="c1" target="_blank">函数</a>