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1、-.-.word.zl.第 21章二次函数与反比例函数【知识点 1 函数 y=ax2+bx+c 的解析式】1.形如2yaxbxca0的函数叫做 x 的二次函数；2.形如(0)kykx的函数叫做 x 的反比例函数；典例 1在以下函数表达式中，表示y 是 x 的二次函数关系的有。21 3yx；(5)yx x；213yx；3(1)(2)yxx；4221yxx；22(1)yxx；2yaxbxc典例 2 在以下函数表达式中，表示y 是 x 的反比例函数关系的有。32yx；kyx；31yx；12yx；21yx；12yx；2xy典例 3 假设函数22(2)ayax是反比例函数，那么a=,假设是二次函数，那么
2、a=。【知识点 2 二次函数的图象与性质】函数2(,0)yaxbxc a b ca是常数,a的值a0 a0 性质1.抛物线开口，并向无限延伸；2.对称轴是，顶点坐标，；3.当 x 时，y 随 x 的增大而减小，当 x 时，y随 x 的增大而增大；4.抛物线有最点，当 x=时，y1.抛物线开口，并向；2.对称轴是，顶点坐标，3.当 x 时，y随 x 的增大而减小，当 x 时，y 随 x 的增大而增大；4.抛物线有最点，当 x=时，精品w o r d 可编辑资料-第 1 页，共 19 页-.-.word.zl.有最值，2_44acbya；y 有最值，2_44acbya；典例 4 二次函数 y=ax
3、2+bx+c 的 y 与 x 的局部对应值如表：那么以下判断中正确的选项是x-1 0 1 2 y-3 1 3 1 A.抛物线开口向上B.抛物线与 y 轴交于负半轴C.当 x=4 时，y0 D.方程 ax2+bx+c=0 的正根在 2 与 3 之间典例 5二次函数 y=ax2+bx+c 的图象过点A1，2，B3，2，C5，7假设点 M-2，y1，N1，y2，K8，y3也在二次函数y=ax2+bx+c 的图象上，那么以下结论正确的选项是A.y1y2y3 By2y1y3 Cy3y1y2 Dy1y3y2【知识点 3 二次函数解析式确实定】1.待定系数法：一般式：y=ax2+bx+c(a0)(条件：任意
4、点坐标)顶点式：2y()(0)a xhk a条件：坐标+任意点坐标交点式：12()()ya xxxx条件：与轴两交点坐标及任意点坐标2.平移规律：左加右减，上加下减典例 6抛物线 yax2+bx+c 与 x 轴交于点 A3，0，对称轴为 x1，顶点 C 到 x轴的距离为2，那么此抛物线表达式为。精品w o r d 可编辑资料-第 2 页，共 19 页-文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1
5、文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X
6、10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F
7、3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7
8、T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U
9、7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W
10、1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7
11、U7T1文档编码:CF1X3U7X10I4 HA3Q4W1F3G7 ZJ5T4R7U7T1-.-.word.zl.典例 7抛物线在 x 轴上所截线段为4，顶点坐标为 2，4，那么这个函数的关系式为。典例 8抛物线 y=x2+bx+c 向右平移 2 个单位再向下平移3 个单位，所得图象的表达式为y=x2-2x-3，那么 b=，c=。典例 9假设抛物线 y=x2+2bx+4 的顶点在坐标轴上，那么抛物线的解析式为。【知识点 4 二次函数系数与图象】考察角度 1：判断 a、b、c 与 0 比拟大小，决定了开口方向，和共同决定了对称轴的位置 左同右异，决定了抛物线与y 轴交点；填 a、b、c考察角度
12、2：判断 b2-4ac，b2-4ac0图象与坐标轴有个交点，b2-4ac=0(图象与坐标轴有个交点),b2-4ac0；2a+b=0；b2-4ac0；a+b+c0；9a-3b+c0；3a+c0；2c0；4ac2b；2a-b0 时，图像与 x轴有个交点；2当=0 时，图像与 x轴有个交点；3当=b2-4ac 0时，图像与 x 轴交点。典例 13二次函数yax2bxc(a0)的图象如下图，求：精品w o r d 可编辑资料-第 5 页，共 19 页-文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R
13、10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3
14、L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码
15、:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8
16、S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3
17、 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1
18、E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y1
19、0 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5-.-.word.zl.(1)函数解析式_；(2)当 x_时，y 随 x 增大而减小；(3)由图象答复：当 y 0 时，x 的取值范围_；当 y 0 时，x _；当 y 0 时，x 的取值范围_；(4)方程 ax2bxc=3 的解为：_典例 14二次函数y=ax2+bx+c(a0)的图象如下图，且关于x 的一元二次ax
20、2+bx+c-m=0 没有实数根，那么 m 的取值范围是。【知识点6 二次函数的应用】典例 15 某商场要经营一种新上市的文具，进价为20元/件试营销阶段发现：当销售单价是 25元时，每天的销售量为250件；销售单价每上涨1 元，每天的销售量就减少 10 件1写出商场销售这种文具，每天所得的销售利润 w元与销售单价 x元之间的函数关系式；2求销售单价为多少元时，该文具每天的销售利润最大；3商场的营销部结合上述情况，提出了A、B 两种营销方案：方案 A：该文具的销售单价高于进价且不超过30元；方案 B：每天销售量不少于10件，且每件文具的利润至少为25元请比拟哪种方案的最大利润更高，并说明理由精
21、品w o r d 可编辑资料-第 6 页，共 19 页-文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7
22、M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5
23、Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA
24、8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3
25、N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档
26、编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1
27、K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5-.-.word.zl.典例 16王强在一次高尔夫球的练习中，在某处击球，其飞行路线满足抛物线21855yxx，
28、其中 ym是球的飞行高度，x(m)是球飞出的水平距离，结果球离球洞的水平距离还有2m(1)请写出抛物线的开口方向、顶点坐标、对称轴(2)请求出球飞行的最大水平距离(3)假设王强再一次从此处击球，要想让球飞行的最大高度不变且球刚好进洞，那么球飞行路线应满足怎样的抛物线，求出其解析式【知识点7 反比例函数图象与性质】典例 17在函数21ayxa 为常数的图象上有三点-3，y1，-1，y2，2，y3，那么函数值y1，y2，y3的大小关系是。精品w o r d 可编辑资料-第 7 页，共 19 页-文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8
29、S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3
30、 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1
31、E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y1
32、0 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R
33、10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3
34、L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码
35、:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5-.-.word.zl.典例 18如以下图，直线lx轴于点 P，且与反比例函数1212(0)(0)kkyxyxxx及图像分别交于点A，B，连接 OA，OB，OAB 的面积为 2，那么12kk=。第 18题 图第 19题图【知识点 8 函数与一次函数综合】典例 19 如图，
36、A-4，n，B2，-4是一次函数 y=kx+b 和反比例函数myx的图像的两个交点。1求反比例函数和一次函数的解析式；2求直线 AB 与 x 轴的交点 C 的坐标及 AOB 的面积；3由图像求：不等式0mkxbx的解集；精品w o r d 可编辑资料-第 8 页，共 19 页-文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R1
37、0F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L
38、5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:
39、CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S
40、2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3
41、HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E
42、6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10
43、 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5-.-.word.zl.典例 20如图，在平面直角坐标系xOy 中，直线122yx与 x 轴交于点 A，与 y 轴交于点 C。抛物线y=ax2+bx+c 的对称轴是32x，且经过 A、C 两点，与 x 轴的另一交点为点 B。1 直接写出点B 的坐标；求抛物线解析式2假设点P 为直线AC 上方的抛物线上的一点，连接PA，PC 求 PAC 的面积的最大值，并求出此时点P的坐标精品w o r d 可编辑资料-第 9 页，共 19 页-文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10
44、 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R1
45、0F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L
46、5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:
47、CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S
48、2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3
49、HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E
50、6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5文档编码:CV1K8S2Y3O3 HM7M1E6P5Y10 ZA8R10F3N3L5-.-.word.zl.第 22 章 相似三角形【知识点 1 比例的根本性质】知识点请查阅教材或笔记典例 11,329,578abcabc且求 2a+4b-3c=；2假设 x 是 a、b 的比例中项，那么。典例 2 假设723