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【330257】2018-2019学年湖南省株洲市荷塘区八年级下期末数学试卷

时间:2025-02-08 16:56:10 作者: 字数:10293字

Shape1 株洲市荷塘区2019年八年级下册数学素养水平测试

一、选择题(每小题有且只有一个正确答案,本题共10小题,每小题4分,共40分)

1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> .下列图案中,既是轴对称图形,又是中心对称图形的是(  )

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>





2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> .图1是我国古代建筑中的一种窗格,其中冰裂纹图案象征着坚冰出现裂纹并开始消溶,形状无一定规则,代表一种自然和谐美.图2是从图1冰裂纹窗格图案中提取的由五条线段组成的图形,则∠1+∠2+∠3+∠4+∠5=(  )度.

A.270° B300°

C.360° D400°



3.“学习强国”的英语“Learningpower中,字母“n出现的频率是( )

A1 B  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> C <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> D2

4.一次函数y = x+2的图象与y轴的交点坐标为(  )

A.(02B.(0,﹣2 C.(20 D.(﹣20

5 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> .如图,在平行四边形ABCD中,对角线ACBD相交于点O.下列条件不能判定平行四边形ABCD为矩形的是(  )

A.∠ABC90° BACBD

CADBCABCD D.∠BAD=∠ADC


6.如图,∠C90°AB12BC3CD4.若∠ABD90°,则AD的长为(  )

A <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> 10 B13 C8 D11

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>




6题图

7题图

Shape2

8题图



7.如图,在平面直角坐标系中,平行四边形ABCD的顶点ABD的坐标分别是(00)(50)(23),则点C的坐标是(  )

A(82) B(53) C(37) D(73)

8.如图,在△ABC中,∠ACB90°BE平分∠ABCEDABD.如果∠A30°AE6 cm,那么CE等于(  )

Acm B2 cm C3 cm D4 cm

9.若把点A(5m2m1)向上平移3个单位后得到的点在x轴上,则点A(  )

Ax轴上 B.第三象限 Cy轴上 D.第四象限

1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> 0.小明家、食堂、图书馆在同一条直线上,小明从家去食堂吃早餐,接着去图书馆读报,然后回家,如图反映了这个过程中,小明离家的距离y与时间x之间的对应关系.根据图象,下列说法正确的是(  )

A.小明吃早餐用了25min

B.小明从图书馆回家的速度为0.8km/min

C.食堂到图书馆的距离为0.8km

D.小明读报用了30min

二、填空题(本题共8小题,每小题4分,共32分)

11.点A(30)关于y轴的对称点的坐标是_________

12.如果正比例函数y=kx的图象经过点(1,﹣2),那么k的值等于_________

13.如图,在中国象棋的残局上建立平面直角坐标系,若“相”和“兵”的坐标分别是(3,﹣1)和(﹣31),则“卒”的坐标为________


 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>


 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>







14题图

13题图


15题图



14.如图,在△ABC中,ABACADBC于点DEAC的中点.若DE5,则AB的长为   

15.抽取某校学生一个容量为150的样本,测得学生身高后,得到如图所示的身高频数分布直方图,已知该校有学生1 500人,则可以估计出该校身高位于160 cm165 cm之间的学生大约有    

16.如图,平行四边形ABCD的周长为36,对角线ACBD相交于点O,点ECD的中点,BD=12,则△DOE的周长为   

1 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> 7.如图,将矩形ABCD的四个角向内翻折后,恰好拼成一个无缝隙无重叠的四边形EFGHEH=12厘米,EF=16厘米,则边AD的长是________ cm.

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>


 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>




16题图


17题图

18题图



18.如图,在平行四边形ABCD中,连接BD,且BD=CD,过点AAMBD于点M,过点DDNAB于点N,且DN= <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> ,在DB的延长线上取一点P,满足∠ABD=∠MAP+∠PAB,则AP=   

三、解答题(本大题共8小题,共78分)

19(本题满分6分)如图,∠A=∠D=90°AC=DBACDB相交于点O.求证:OB=OC

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>






20(本题满分8分)某校为了解八年级学生的视力情况,对八年级的学生进行了一次视力调查,并将调查数据进行统计整理,绘制出如下频数分布表和频数分布直方图的一部分.

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>

视力

频数/

频率

4.0x4.3

20

0.1

4.3x4.6

40

0.2

4.6x4.9

70

0.35

4.9x5.2

a

0.3

5.2x5.5

10

b









(1)在频数分布表中,a_________b_________

(2)将频数分布直方图补充完整;

(3)若视力在4.6以上(4.6)均属正常,求视力正常的人数占被调查人数的百分比.


2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> 1(本题满分8分) 在边长为1个单位长度的正方

形网格中建立如图所示的平面直角坐标系,△ABC的顶点都在格点上,请解答下列问题:

1)作出△ABC向左平移4个单位长度后得到的△A1B1C1,并写出点C1的坐标;

2)作出△ABC关于原点O对称的△A2B2C2,并写出点C2的坐标;

3)已知△ABC关于直线l对称的△A3B3C3的顶点A3的坐标为(﹣4,﹣2),请直接写出直线l的函数解析式.




22(本题满分10分)如图,在正方形ABCD中,AF=BEAEDF相交于点O

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> 1)求证:△DAF≌△ABE

2)求∠AOD的度数.










2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> 3(本题满分10分)如图,在菱形ABCD中,∠ABC与∠BAD的度数比为12,周长是8cm.求:(1)两条对角线的长度;(2)菱形的面积.












2Shape3 4.(本题满分10分)如图,直线m的表达式为y =﹣3x+3,且与x轴交于点B,直线n经过点A40),且与直线m交于点Ct,﹣3

1)求直线n的表达式.

2)求△ABC的面积.

3)在直线n上存在异于点C的另一点P,使△ABP

与△ABC的面积相等,请直接写出点P的坐标是










25.(本题满分13分)已知:如图,一块Rt△ABC的绿地,量得两直角边AC=8cmBC=6cm.现在要将这块绿地扩充成等腰△ABD,且扩充部分(△ADC)是以8cm为直角边长的直角三角形,求扩充等腰△ABD的周长.

1)在图1中,当AB=AD=10cm时,△ABD的周长为

2)在图2中,当BA=BD=10cm时,△ABD的周长为

3)在图3中,当DA=DB时,求△ABD的周长.

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>















  1. (本题满分13分)(1操作思考:如图1,在平面直角坐标系中,等腰RtACB的直角顶点C在原点,将其绕着点O旋转,若顶点A恰好落在点(12)处.则OA的长为 B的坐标为 (直接写结果);

2)感悟应用:如图2,在平面直角坐标系中,将等腰RtACB如图放置,直角顶点

C(-1,0),点A(04),试求直线AB的函数表达式;

3)拓展研究:如图3,在平面直角坐标系中,点B43),过点BBA <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> y轴,垂足为点A;作BC <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> x轴,垂足为点CP是线段BC上的一个动点,点Q是直线 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> 上一动点.问是否存在以点P为直角顶点的等腰RtAPQ若存在,请求出此时P的坐标,若不存在,请说明理由.

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>




















八年级数学参考答案及评分标准

一、选择题:(每小题有且只有一个正确答案,本题共10小题,每小题4分,共40

题次

1

2

3

4

5

6

7

8

9

10

答案

B

C

C

A

C

B

D

B

D

D



二、填空题:(本题共8小题,每小题4分,共32分)

11. <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> 3,0 12-2 13 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> -2,-2 1410

15300 1615 1720 186


三、解答题(本大题共8小题,共78分)

19(本题满分8分)

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> 明:RtABCRtDCB中,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>


RtABCRtDCBHL),

∴∠OBC=∠OCB

BO=CO

2Shape4 0.(本题满分8分)

160 0.05 (2





 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> 3)视力正常的人数占被调查人数的百分比是70%.

  1. (本题满分8分)

解:(1)如图,△A1B1C1为所作,C1(﹣12);

2)如图,△A2B2C2为所作,C2(﹣3,﹣2);

3)因为A的坐标为(24),A3的坐标为(﹣4,﹣2),

所以直线l的函数解析式为y=﹣x












2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> 2(本题满分8分)

1)证明:∵四边形ABCD是正方形,

∴∠DAB=∠ABC=90°AD=AB

在△DAF和△ABE中, <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>

∴△DAF≌△ABESAS),

2)由(1)知,△DAF≌△ABE

∴∠ADF=∠BAE

∵∠ADF+∠DAO=∠BAE+∠DAO=∠DAB=90°

∴∠AOD=180°﹣(∠ADF+DAO=90°

23.(本题满分10分)

解:(1)∵四边形ABCD是菱形,

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> AB=BCACBDADBC

∴∠ABC+∠BAD=180°

∵∠ABC与∠BAD的度数比为12

∴∠ABC= <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> ×180°=60°

∴∠ABO= <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>ABC=30°

菱形ABCD的周长是8cm

AB=2cm

OA= <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> AB=1cm

OB= <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> = <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>

AC=2OA=2cmBD=2OB=2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> cm

2S菱形ABCD= <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> AC•BD= <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> ×2×2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> =2 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a> cm2).

24.1n的表达式为 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>

2SABC的面积是4.5

3P点坐标为(63).








25.(本题满分13分)

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>  <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>









 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>






 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>

26.(本题满分13分)


26.(本题满分13分)

 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>








 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>











 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>















 <a href="/tags/54/" title="试卷" class="c1" target="_blank">试卷</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/255/" title="学年" class="c1" target="_blank">学年</a> <a href="/tags/982/" title="湖南省" class="c1" target="_blank">湖南省</a> <a href="/tags/1044/" title="株洲" class="c1" target="_blank">株洲</a> <a href="/tags/1121/" title="湖南" class="c1" target="_blank">湖南</a>