2014年湖南省长沙市中考数学试卷解析版.pdf

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1、1 2014 年湖南省长沙市中考数学试卷参考答案与试题解析一、选择题共10 小题，每题3 分，共 30 分112的倒数是A、2B、2C、12D、12解：12的倒数是2，故选：A2以下几何体中，主视图、左视图、俯视图完全相同的是A 圆锥B六棱柱C球D 四棱锥解：A、圆锥的主视图、左视图、俯视图分别为等腰三角形，等腰三角形，圆及圆心，故A选项不符合题意；B、六棱柱的主视图、左视图、俯视图分别为四边形，四边形，六边形，故B 选项不符合题意；C、球的主视图、左视图、俯视图分别为三个全等的圆，故C 选项符合题意；D、四棱锥的主视图、左视图、俯视图分别为三角形，三角形，四边形，故D 选项不符合题意；故选

2、C3 3分 2014?长沙一组数据3，3，4，2，8 的中位数和平均数分别是A3 和 3 B 3 和 4 C4 和 3 D4 和 4 解：将数据从小到大排列为：2，3，3，4，8，则中位数是3，平均数=4故选 B4 3分 2014?长沙平行四边形的对角线一定具有的性质是A相等B 互相平分C互相垂直D互 相垂直且相等解：平行四边形的对角线互相平分，故选：B5 3分 2014?长沙以下计算正确的选项是2 A+=B ab22=ab4C2a+3a=6a Da?a3=a4解：A、被开方数不能相加，故A 错误；B、积的乘方等于每个因式分别乘方，再把所得的幂相乘，故B 错误；C、系数相加字母部分不变，故C

3、错误；D、底数不变指数相加，故D 正确；故选：D6 3 分 2014?长沙 如图，C、D 是线段 AB 上的两点，且 D 是线段 AC 的中点，假设 AB=10cm，BC=4cm，则 AD 的长为A2cm B 3cm C4cm D6cm 解：AB=10cm，BC=4cm，AC=AB BC=6cm，又点 D 是 AC 的中点，AD=AC=43m，答：AD 的长为 3cm故选：B7 3 分 2014?长沙一个关于x 的一元一次不等式组的解集在数轴上的表示如图，则该不等式组的解集是Ax1 B x1Cx3 Dx3解：一个关于x 的一元一次不等式组的解集在数轴上的表示如图，则该不等式组的解集是x3故选：

4、C83 分 2014?长沙如图，已知菱形 ABCD 的边长为2，DAB=60，则对角线BD 的长是文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V

5、1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:

6、CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y

7、1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7

8、HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10

9、T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3

10、 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V13 A1BC2D2解：菱形ABCD 的边长为2，AD=AB=2，又 D

11、AB=60 ，DAB 是等边三角形，AD=BD=AB=2，则对角线BD 的长是 2故选：C9 3分 2014?长沙以下四个圆形图案中，分别以它们所在圆的圆心为旋转中心，顺时针旋转120 后，能与原图形完全重合的是ABCD解：A、最小旋转角度=120；B、最小旋转角度=90；C、最小旋转角度=180；D、最小旋转角度=72；综上可得：顺时针旋转120 后，能与原图形完全重合的是A故选 A10 3 分 2014?长沙函数y=与 y=ax2a0 在同一平面直角坐标系中的图象可能是ABCD解：a0 时，y=的函数图象位于第一三象限，y=ax2的函数图象位于第一二象限且经过原点，a0 时，y=的函数图象

12、位于第二四象限，y=ax2的函数图象位于第三四象限且经过原点，纵观各选项，只有D 选项图形符合故选 D文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L1

13、0V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编

14、码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F

15、6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V

16、7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S

17、10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4

18、A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V14 二、填空题共8 小题，每题3 分，共 24 分11 3 分 2

19、014?长沙如图，直线a b，直线 c 分别与 a，b 相交，假设 1=70，则 2=110度解：1=70，3=1=70，ab，2+3=180，2=180 70=110 故填 11012 3 分 2014?长沙抛物线y=3x22+5 的顶点坐标是2，5解：抛物线y=3x 22+5，顶点坐标为：2，5 故答案为：2，5 13 3 分 2014?长沙如图，A、B、C 是 O 上的三点，AOB=100，则 ACB=50度解：ACB=AOB=100=50 文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO

20、4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L

21、10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档

22、编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4

23、F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6

24、V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1

25、S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P

26、4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V15 故答案是：5014 3 分 2014?长沙已知关于x 的一元二次方程2x23kx+4=0 的一个根是1，则 k=2解：依题意，得2 123k 1+4=0，即 23k+4=0，解得，k=2故答案是：215 3 分 2014?长沙 100 件外观相同的产品中有5 件不合格，现从中任意抽取1 件进行检测，抽到不合格产

27、品的概率是解：100 件外观相同的产品中有5 件不合格，从中任意抽取1 件进行检测，抽到不合格产品的概率是：=故答案为：16 3 分 2014?长沙如图，在ABC 中，DEBC，=，ADE 的面积是8，则 ABC 的面积为18解；在 ABC 中，DEBC，ADE ABC=，=2=，S ABC=18，故答案为：18文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7

28、HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10

29、T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3

30、 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8

31、F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V

32、1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:

33、CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y

34、1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V16 17 3 分 2014?长沙如图，点B、E、C、F 在一条直线上，ABDE，AB=DE，BE=CF，AC=6，则 DF=6证明：AB DE，B=DEF BE=CF，BC=EF，在ABC 和DEF 中，ABC DEFSAS，AC=DF=6 故答案是：618 3 分 2014?长沙如图，在平面直角坐标系中，已知点A 2，3，点 B 2，1，在 x 轴上存在点P 到 A，B 两点的距离之和最小，则P 点的坐标是 1，0解：作 A 关于 x 轴的对称点C

35、，连接 BC 交 x 轴于 P，则此时AP+BP 最小，A 点的坐标为 2，3，B 点的坐标为2，1，C2，3，设直线 BC 的解析式是：y=kx+b，文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6

36、V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1

37、S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P

38、4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO

39、4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L

40、10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档

41、编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V17 把 B、C

42、的坐标代入得：解得即直线 BC 的解析式是y=x1，当 y=0 时，x 1=0，解得：x=1，P 点的坐标是1，0 故答案为：1，0 三、解答题共2 小题，每题6 分，共 12 分19 6 分 2014?长沙计算：12014+1+sin45 解：原式=1+23+1=120 6 分 2014?长沙先简化，再求值：1+，其中 x=3解：原式=?=?=，当 x=3 时，原式=文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3

43、ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F

44、2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1

45、文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:C

46、R4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1

47、H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 H

48、F1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T

49、6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V18 四、解答题共2 小题，每题8 分，共 16 分21 8 分 2014?长沙某数学兴趣小组在全校范围内随机抽取了50 名同学进行“舌尖上的长沙我最喜爱的长沙小吃”调查活动，将调查问卷整理后绘制成如下图的不完整条形统计图：请根据所给信息解答以下问题：1请补全条形统计图；2假设全校有2000 名同学，请估计全校同学中最喜爱“臭豆腐”的同学有多少人？3在一个不透明的口袋中有四个完全相同的小球，把它

50、们分别标号为四种小吃的序号A、B、C、D，随机地摸出一个小球然后放回，再随机地摸出一个小球，请用列表或画树形图的方法，求出恰好两次都摸到“A”的概率解：1根据题意得：喜欢“唆螺”人数为：50 14+21+5=10人，补全统计图，如下图：2根据题意得：2000 100%=560人，则估计全校同学中最喜爱“臭豆腐”的同学有560 人；3列表如下：文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档编码:CR4F6Y1H6V7 HF1S10T6P4A3 ZO4H8F2L10V1文档