当前位置:首页 > 九年级 > 数学试卷

【323435】2023九年级数学上册 第22章 一元二次方程测试题(新版)华东师大版

时间:2025-01-16 18:34:24 作者: 字数:7673字
简介:


一元二次方程

时间:120分钟 满分;120

一、选择题(每题3分,共30分)

1.已知x=1是一元二次方程x2-2mx+1=0的一个解,则m的值是( )

A1 B0 C01 D0-1

2已知ab为一元二次方程 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 的两个根,那么 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 的值为( )(A-7 B0 C7 D11

3.根据下列表格中二次函数 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 的自变量 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 与函数值 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 的对应值,判断方程 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 为常数)的一个解 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 的范围是(  ) 

 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>

6.17

6.18

6.19

6.20

 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>

 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>

 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>

 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>

 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>

A. <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> B. <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>

C. <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> D. <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>

4.等腰三角形的底和腰是方程x2-6x+8=0的两根,则这个三角形的周长为( )

A.8 B.10 C.810 D.不能确定

5.某城市2007年底已有绿化面积300公顷,经过两年绿化,绿化面积逐年增加,到2009年底增加到363公顷.设绿化面积平均每年的增长率为x,由题意,所列方程正确的是

A300(1x)=363 B300(1x)2=363 C300(12x)=363 D363(1x)2=300

6.现定义某种运算 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> ,若 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> ,那么 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 的取值范围是( )(A <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>B <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>C <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> D <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>

7已知 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 是关于 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 的一元二次方程 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 的两实数根,则式子 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 的值是( )

A <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> B <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> C <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> D <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>

8用配方法将代数式a2+4a-5变形,结果正确的是( )

A.(a+2)2-1 B. (a+2)2-5 C. (a+2)2+4 D. (a+2)2-9

9、关于x的一元二次方程 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 的一个根为2,则a的值是( )

A1 B <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> C <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> D <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>

10、某商品经过两次连续降价,每件售价由原来的55元降到了35元.设平均每次降价的百分率为x,则下列方程中正确的是(  )

A55 (1+x)2=35 B35(1+x)2=55

C55 (1x)2=35 D35(1x)2=55

二、填空题(每题3分,共30分)

11.已知一元二次方程有一个根是2,那么这个方程可以是 (填上你认为正确的一个方程即可).

12.已知实数x满足4x2-4x+l=0,则代数式2x+ <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 的值为________

13.如果 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 是一元二次方程 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 的两个根,那么 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 的值是___________

14已知 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 是一元二次方程 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 的一个根,则方程的另一个根是    

15.已知 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 是方程 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 的一个解,则 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 的值是   

16.在实数范围内定义一种运算“*”,其规则为 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> ,根据这个规则,方程 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 的解为

17、在Rt△ABC中, ∠C90°,斜边c=5,两直角边的长ab 是关于x的一元二次方程x2mx2m2=0的两个根 ,则Rt△ABC中较小锐角的正弦值_________

18、已知三个连续奇数,其中较大的两个数的平方和比最小数的平方的3倍还小25,则这三个数分别为_________

19、甲、乙两同学解方程x <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> +px+q=0,甲看错了一次项系数,得根为27;乙看错了常数项,得根为1-10,则原方程为

20、如图1,张大叔从市场上买回一块矩形铁皮,他将此矩形铁皮的四个角各剪去一个边长为1米的正方形后,剩下的部分刚好能围成一个容积为15 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 的无盖长方体箱子,且此长方体箱子的底面长比宽多2米,现已知购买这种铁皮每平方米需20元钱,问张大叔购回这张矩形铁皮共花了 元钱?

DrawObject1





三、解答题(每题10分,共60分)

21、我们已经学习了一元二次方程的四种解法:因式分解法,开平方法,配方法和公式法.请从以下一元二次方程中任选一个,并选择你认为适当的方法解这个方程.

 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> ;② <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> ;③ <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> ;④ <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>





22、关x的一元二次方程(x-2)(x-3)=m有两个不相等的实数根x1x2,则m的取值范围是 ;若x1x2满足等式x1x2-x1-x2+1=0,求m的值.













23、数学课上,李老师布置的作业是图2中小黑板所示的内容,楚楚同学看错了第(2)题※中的数,求得(1)的一个解x=2;翔翔同学由于看错了第(1)题※中的数,求得(2)的一个解是x=3;你知道今天李老师布置作业的正确答案吗?请你解出来


DrawObject2











24在实数范围内定义运算“ <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> ”,其法则为: <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> ,求方程(4 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 3 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 的解.













25东将一条长为20cm的铁丝剪成两段,并以每一段铁丝的长度为周长做成一个正方形.

(1)要使这两个正方形的面积之和等于17cm2,那么这段铁丝剪成两段后的长度分别是多少?

(2)两个正方形的面积之和可能等于12cm2? 若能,求出两段铁丝的长度;若不能,请说明理由.










26.某商场在“五一节”的假日里实行让利销售,全部商品一律按九销售,这样每天所获得的利润恰是销售收入的20%,如果第一天的销售收入4万元,且每天的销售收入都有增长,第三天的利润是1.25万元,

(1)求第三天的销售收入是多少万元?

(2)第二天和第三天销售收入平均每天的增长率是多少?










27.学校为了美化校园环境,在一块长 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 米,宽 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 米的长方形空地上计划新建一块长 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 米,宽 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 米的长方形花圃.

1)若请你在这块空地上设计一个长方形花圃,使它的面积比学校计划新建的长方形花圃的面积多 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 平方米,请你给出你认为合适的三种不同的方案;

2)在学校计划新建的长方形花圃周长不变的情况下,长方形花圃的面积能否增加 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 平方米?如果能,请求出长方形花圃的长和宽;如果不能,请说明理由.











参考答案

一、1A2D3C4B5B6B7D8D9D10C

二、11x2-2x=012213414 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>155163-717 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>18-3-1115171919x <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> +9x+14=020700

三、21、① <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> ;② <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> ;③ <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> ;④ <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>

22m -1/4 m=2

2323、方程(1)的解是x1=2x2=0;方程(2)的解是x1=3x2=4

24解:∵  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> , ∴  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>

 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> . ∴  <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>

 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>

25、(1)解:设剪成两段后其中一段为xcm,则另一段为(20-xcm

由题意得: <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> ,解得: <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>

 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 时,20-x=4,当 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 时,20-x=16

2)不能。理由是: <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> ,整理得: <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>

∵ △= <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>此方程无解,即不能剪成两段使得面积和为12cm2

26.(16.25 (2) 25%

271)学校计划新建的花圃的面积是 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> (平方米),比它多 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 平方米的长方形面积是 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 平方米,因此可设计以下方案:

方案一:长和宽都是 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 米;

方案二:长为 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 米,宽为 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 米;

方案三:长为 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 米,宽为 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 米.

说明:显然,此方案很多,但要注意空地的大小实际.

2)假设在计划新建的长方形周长不变的情况下长方形花圃的面积能增加 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 平方米.由于计划新建的长方形的周长是 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> (米),设面积增加后的长方形的长为 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 米,

则宽是 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> (米),依题意,得 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>

整理,得 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a>

因为 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> ,此方程没有实数根,

所以,在学校计划新建的长方形花圃周长不变的情况下,长方形花圃的面积不能增加 <a href="/tags/4/" title="测试" class="c1" target="_blank">测试</a> <a href="/tags/51/" title="试题" class="c1" target="_blank">试题</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/380/" title="方程" class="c1" target="_blank">方程</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/897/" title="二次方程" class="c1" target="_blank">二次方程</a> 平方米.


www.ishijuan.cn 爱试卷为中小学老师学生提供免费的试卷下载关注”试卷家“微信公众号免费下载试卷