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2022年中考数学复习教材回归知识讲解+例题解析 .pdf

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1、2009 年中考数学复习教材回归知识讲解+例题解析+强化训练变量与函数知识讲解在某一变化过程中，可以取不同数值的值叫做变量数值保持不变的量叫常量常量和变量是相对的，判断常量和变量的前提是“在某一变化的过程中”，同一量在不同的变化过程中可以为常量也可以为变量，这是根据问题的条件而定的常量和变量并一定都是量，也可以是常数或变数在某一变化的过程中有两个变量x 与 y，如果对于x 在取值范围内取的每一个确定的值，y 都有唯一确定的值与它对应，那么说x 是自变量，y 是 x 的函数，函数不是数，?它是指某一变化过程中两个变量之间的关系自变量的取值必须使含自变量的代数式有意义自变量的取值范围可以是无限的也

2、可以是有限的可以是几个数，也可以是单独的一个数，表示实际问题时，自变量的取值必须使实际问题有意义对于自变量在取值范围内取一个确定的值，函数都有唯一确定的值与之对应，这个对应值叫做函数的一个函数值函数由一个解析式表示时，求函数的值，就是求代数式的值，函数的值是唯一确定的，但对应的自变量的值可以是多个函数值的取值范围是随自变量的取值范围的变化而变化的函数的三种表示法：解析法、列表法、图像法这三种表示法各具特色，在应用时，?通常将这三种方法结合在一起运用，其中画函数图像的一般步骤为：列表、描点、连线例题解析例 1 观察右图，回答下列问题：（1）自变量x 的取值范围；（2）函数 y 的取值范围；（3

3、）当 x 取何值时，y 的值最小，并写出这个最小值；（4）当 x 取何值时，y 的值最大，并写出这个最大值；（5）当 x=0 或 5 时，y 的值；（6）当 y=0 和 2 时，x 的值；（7）当 y 随 x 的增大而增大时，x 的取值范围；（8）当 y 随 x 的增大而减小时，x 的取值范围【分析】由于函数图像与自变量x、函数 y 的取值有关，因此图像能反映出x、?y 的取值范围，从左到右，x 的值逐渐增大，因此，观察图像应从左到右，这时若图像逐渐升高，则 y 的值逐渐增大，若图像逐渐下降，则y 的值逐渐变小【解答】（1）由图像可知：图像左端端点横坐标为5，右端端点横坐标为5，且 5 用了空

4、心点，所以自变量x 的取值范围为5x5；（2）由于图像最低点的纵坐标为3，最高点的纵坐标4，所以 3y4；（3）由于图像最低点坐标为（3，3），所以当x=3 时，y 有最小值为3；（4）由于图像最高点坐标为（2，4），所以当x=2 时，y 有最大值为4；（5）因为图像过点（0，2）与点（5，0），所以当 x=0 时，y=2；当 x=5 时，y=0；（6）由图像可知，图像与x 轴有两个交点，它们的横坐标为5 和 1，故当 y=0 时，?x=5 或 1；同理当y=2 时，x=0 或 4；（7）图像从点（3，3）到点（2，4）是逐渐升高的，因此当 3x2 时，y 随 x?的增大而增大；（8）图像从点

5、（5，0）到点（3，3）及从点（2，4）到点（5，0）是逐渐降低的，因此当 5x 3 或 2x2 的函数是（）Ay=2xB y=21xCy=12xDy=121x二、选择题9（2006，泰州）在物理实验课上，小明用弹簧秤将铁块A 悬于盛有水的水槽中（右图），然后匀速向上提起，直至铁块完全露出水面一定高度，则能反映弹簧秤的读数y（N）与铁块被提起的高度x（cm）之间的函数关系的大致图像是（）A B C D 10汽车由北京驶往相距120km 的天津，平均速度是30km/h，则汽车距天津的路程s（km）与行驶时间t（h）的函数关系式及自变量t 的取值范围是（）As=120 30t（0t4）Bs=30t

6、（0t4）Cs=12030t（t0）Ds=30t（t=4）11下列关于变量x，y 的关系式中：5x2y=1；y=3x；xy=2，?其中表示y 是x 的函数的是（）ABCD文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:

7、CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U

8、7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2

9、HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z

10、3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10

11、 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4

12、M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R

13、512（2008，金华）三军受命，我解放军各部奋力抗战在货物救灾一线，现有甲，?乙两支解放军小分队将救灾货物送往重灾小镇，甲队先出发，从部队基地到该小镇只有唯一通道，且路程为 24km，下图是他们行走的路程关于时间的函数图像，?四位同学观察此函数图像得到有关信息，其中正确的个数是（）A1 B 2 C 3 D4 13某班同学在探究弹簧的长度跟外力的变化关系时，实验记录得到的数据如下表：砝码的质量x/g 0 50 100 150 200 250 300 400 500 指针位置y/cm 2 3 4 5 6 7 7.5 7.5 7.5 则 y 关于 x 的函数图像是（）14小明根据邻居家的故事写了一

14、首小诗：“儿子学成今日返，老父早早到车站，儿子到后细端详，父子高兴把家还”如果用纵轴y?表示父亲与儿子行进中离家的距离，用横轴 x 表示父亲离家的时间，?那么下面的图像与上述诗的含义大致吻合的是（）文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5

15、C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L

16、9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编

17、码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A

18、1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J

19、2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K

20、6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E

21、10 ZY5C4M10L9R515某人骑车外出所行的路程s（km）与时间t（h）的函数关系如图所示，?现有下列四种说法：第 3h 中的速度比第1h 中的速度快；第 3h 中的速度比第1h 中的速度慢；第 3h 后已停止前进；第3h 后保持匀速前进其中说法正确的是（）ABCD16（2008，盐城）如图所示，A，B，C，D 为 O 的四等分点，动点 P从圆心 O 出发，?沿 OCDO 路线做匀速运动，设运动时间为 t（s），APB=y（），则下列图像中表示y 与 t 之间函数关系最恰当的是（）三、解答题17如图所示，周长为 24 的凸五边形ABCDE 被对角线BE 分为等腰 ABE 及矩形 BCD

22、E，且 AE=DE，设 AB 的长为 x，CD 的长为 y，求 y 与 x 之间的函数关系式，写出自变量的取值范围18（2008，长沙）在平面直角坐标系中，一动点P（x，y）从M（1，0）出发，沿由A（?1，1），B（1，1），C（1，1），D（1，1）四点组成的正方形边线（图）?按一定方向运动图是P 点运动的路程s（个单位）与运动时间t（秒）之间的函数图像，图是P 点的纵坐标y 与 P 点运动的路程s 之间的函数图像的一部分（1）s 与 t 之间的函数关系式是_；（2）与图 526相对应的P点的运动路径是：_；P 点出发 _?秒首次到达点文档编码:CK1A1U7J9J2 HX4K6Z3U4E

23、10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5

24、C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L

25、9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编

26、码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A

27、1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J

28、2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K

29、6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5B；（3）写出当3s8 时，y 与 s 之间的函数关系式，并在图中补全函数图像19（2006，枣庄）如图所示，在ABC 中，AB=AC=1，点 D，E 在直线BC 上运动?设 BD=x，CE=y（1）如果 BAC=30，D

30、AE=105，试确定y 与 x 之间的函数关系式；（2）如果 BAC=，DAE=，当、满足怎样的关系时，（1）中的 y 与 x 之间的函数关系式还成立？试说明理由20A 市和 B 市有两条路可走，一辆最多可载19 人的依维柯汽车在这条公路行驶时的有关数据如下表所示：路程/km 耗油量（L/100km）票价/（元/人）过路费/（元/辆）油价/（元/L）第一条路60 14 16 20 2.9 第二条路64 10 12 5 2.9 如果用 y1（元），y2（元）表示从A 市到 B 市分别走两条路时司机的收入，仅就其中数据求出y1，y2与载客人数x（人）之间的函数表示式文档编码:CK1A1U7J9J2

31、 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6

32、Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E1

33、0 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C

34、4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9

35、R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码

36、:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1

37、U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R521（2005，吉林省）小明受乌鸦喝水故事的启发，?利用量筒和体积相同的小球进行了如下操作：请根据图中给出的信息，解答下列问题：（1）放入一个小球量筒中水面升高_cm；（2）求放入小球后量筒中水面的高

38、度y（cm）与小球个数x（个）?之间的一次函数关系式（不要求写出自变量的取值范围）（3）量筒中至少放入几个小球时有水溢出？文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10

39、 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4

40、M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R

41、5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:

42、CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U

43、7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2

44、HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R522观察图中小黑点的摆入规律，并按照这样的规律

45、继续摆放，记第 n 个图中小黑点的个数为 y解答下列问题：（1）填表：n 1 2 3 4 5 6 7 y 1 3 7 13（2）当 n=8 时，y=_；（3）根据上表中的数据，把n 作为横坐标，把y 作为纵坐标，在图530 的平面直角坐标系中描出相应的各点（n，y），其中1n5；（4）请你猜一猜上述各点会在某一函数的图象上吗？如果在某一函数的图像上，?请写出该函数的解析式答案:1Q=14aD2，D 2 x5 3一45 5 3 文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文

46、档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK

47、1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J

48、9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX

49、4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U

50、4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 ZY5C4M10L9R5文档编码:CK1A1U7J9J2 HX4K6Z3U4E10 Z

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