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1、中考专题复习训练压轴题【预测题】1、已知，在平行四边形OABC 中，OA=5，AB=4，OCA=90 ，动点 P 从 O点出发沿射线OA 方向以每秒2 个单位的速度移动，同时动点 Q 从 A 点出发沿射线AB 方向以每秒1个单位的速度移动设移动的时间为t 秒（1）求直线AC 的解析式；（2）试求出当t 为何值时，OAC 与 PAQ 相似；（3）若 P 的半径为58，Q 的半径为23；当 P 与对角线 AC 相切时，判断Q 与直线AC、BC 的位置关系，并求出Q 点坐标。解：（1）42033yx（2）当 0t 2.5 时，P在 OA上，若 OAQ=90 时，故此时 OAC与 PAQ不可能相似当
2、t2.5时，若 APQ=90，则APQ OCA，t2.5，符合条件若 AQP=90，则APQ OAC，t2.5，符合条件综上可知，当时，OAC与 APQ相似（3）Q与直线 AC、BC均相切，Q点坐标为（109,531）。【预测题】2、如图，以矩形OABC 的顶点 O 为原点，OA 所在的直线为x 轴，OC 所在的直线为 y 轴，建立平面直角坐标系已知OA3，OC2，点 E 是 AB 的中点，在OA 上取一点 D，将 BDA 沿 BD 翻折，使点A 落在 BC 边上的点F 处（1）直接写出点E、F 的坐标；（2）设顶点为F 的抛物线交y 轴正半轴于点 P，且以点E、F、P 为顶点的三角形是等腰三
3、角形，求该抛物线的解析式；（3）在 x 轴、y 轴上是否分别存在点M、N，使得四边形MNFE 的周长最小？如果存在，求出周长的最小值；如果不存在，请说明理由解：（1）(31)E，；(12)F，（2）在RtEBF中，90Bo，2222125EFEBBF设点P的坐标为(0)n，其中0n，Q顶点(12)F，设抛物线解析式为2(1)2(0)ya xa如图，当EFPF时，22EFPF，221(2)5n解得10n（舍去）；24n(0 4)P，24(01)2a解得2a抛物线的解析式为22(1)2yx如图，当EPFP时，22EPFP，22(2)1(1)9nn解得52n（舍去）（第 2 题）文档编码:CV5N1
4、S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N
5、7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8
6、E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5
7、N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C
8、8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6
9、A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:C
10、V5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4文档编码:CV5N1S5H6X8 HF1C8N7F4R4 ZS8C6A8E10J4当EFEP时，53EP，这种情况不存在综上所述，符合条件的抛物线解析式是22(1)2yx（3）存在点MN，使得四边形MNFE的周长最小如图，作点E关于x轴的对称点E，作点F关于y轴的对称点F，连接E F，分别与x轴、y轴交于点MN，则点MN，就是所求点(31)E，(1 2)FNFNF
11、MEME，43BFBE，FNNMMEF NNMMEF E22345 又5EFQ，55FNNMMEEF，此时四边形MNFE的周长最小值是55【预测题】3、如图，在边长为2 的等边 ABC 中，ADBC,点 P 为边 AB 上一个动点，过 P 点作 PF/AC 交线段 BD 于点 F,作 PGAB交 AD于点 E,交线段 CD于点 G,设 BP=x.（1）试判断BG 与 2BP 的大小关系,并说明理由;用 x 的代数式表示线段DG 的长,并写出自变量x 的取值范围;（2）记 DEF的面积为S,求 S 与 x 之间的函数关系式,并求出 S 的最大值;（3）以 P、E、F 为顶点的三角形与EDG 是否
12、可能相似？如果能相似，请求出BP 的长，如果不能，请说明理由。解：（1）在等边三角形中，60，30，2，为等边三角形，x.GEFDCABP第 3 题文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3
13、X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X
14、1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:C
15、C3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 H
16、J3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR
17、9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码
18、:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9又 2x，1，2x1，2x1，112x?.（2）S=12DEDF=1321 123xx=2333326xx当34x时
19、，348maxS.（3）如图，若t，则两三角形相似，此时可得即121xx-=-解得：23x=如图，若t，则两三角形相似，此时可得1214，即114xx-=解得：45x=【预测题】4、如图，二次函数cbxxy241的图像经过点4,4,0,4BA，且与y轴交于点C.（1）试求此二次函数的解析式；（2）试证明：CAOBAO（其中O是原点）；（3）若P是线段AB上的一个动点（不与A、B重合），过P作y轴的平行线，分别交此二次函数图像及x轴于Q、H两点，试问：是否存在这样的点P，使QHPH2？若存在，请求出点P的坐标；若不存在，请说明理由。GEFDCABPGEF DCABP文档编码:CC3S10D1M3
20、N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J
21、2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9
22、文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1
23、M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G
24、5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5
25、L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10
26、D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9解：（1）点0,4A与4,4B在二次函数图像上，cbcb444440，解得221cb，二次函数解析式为221412xxy.（2）过B作xBD轴 于 点D，由（1）得2,0C，则 在AOCRt中，2142tanAOCOCAO，又在ABDRt中，2184tanADBDBAD，BADCAOtanta
27、n，BAOCAO.（3）由0,4A与4,4B，可得直线AB的解析式为221xy，设44,221,xxxP，则22141,2xxxQ，22141,2122212xxQHxxPH.2214122122xxx.当4212122xxx，解得4,121xx（舍去），25,1P.当4212122xxx，解得4,321xx（舍去），27,3P.综上所述，存在满足条件的点，它们是25,1与27,3.【预测题】5、如图 1，在 RtABC 中，C90，BC8 厘米，点 D 在 AC 上，CD文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ
28、3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9
29、X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:
30、CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9
31、HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 Z
32、R9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编
33、码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N
34、9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9图 1 C QB D A P图 2 G 2 4 6 8 10 1210 8 6 4 2 y O x 3 厘米点 P、Q 分别由 A、C 两点同时出发，点P 沿 AC 方向向点C 匀速移动，速度为每秒 k 厘米，行完AC 全程用时8 秒；点 Q 沿 CB 方向向点B 匀速移动，速度为每秒1 厘米设运动的时间为x 秒80 x，DCQ 的面积为y1平方厘米，PCQ 的面积为y2平方厘米（1
35、）求 y1与 x 的函数关系，并在图2 中画出 y1的图象；（2）如图 2，y2的图象是抛物线的一部分，其顶点坐标是（4，12），求点 P 的速度及AC的长；（3）在图 2 中，点 G 是 x 轴正半轴上一点（0OG6，过 G 作 EF 垂直于 x 轴，分别交 y1、y2于点 E、F说出线段EF 的长在图1 中所表示的实际意义；当 0 x时，求线段EF 长的最大值解：（1）CDCQSDCQ21，CD3，CQx，xy231图象如图所示（2）方法一：CPCQSPCQ21，CP8kxk，CQx，kxkxxkxky42182122抛物线顶点坐标是（4，12），12444212kk解得23k则点 P 的
36、速度每秒23厘米，AC 12 厘米方法二：观察图象知，当x=4 时，PCQ 面积为 12此时 PCAC AP8k4k4k，CQ4由CPCQSPCQ21，得12244k解得23k则点 P 的速度每秒23厘米，AC12 厘米方法三：设y2的图象所在抛物线的解析式是cbxaxy2文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L
37、9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D
38、1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3
39、G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N
40、5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S1
41、0D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6
42、Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M
43、7N5L9G F E D C B A 图象过（0，0），（4，12），（8，0），.0864124160cbacbac，解得.0643cba，xxy64322CPCQSPCQ21，CP8kxk，CQx，kxkxy42122比较得23k.则点 P的速度每秒23厘米，AC12 厘米（3）观察图象，知线段的长EFy2y1，表示 PCQ 与 DCQ 的面积差（或PDQ面积）由得xxy64322.（方法二，xxxxy643232382122）EFy2y1，EFxxxxx29432364322，二次项系数小于，在60 x范围，当3x时，427EF最大【预测题】6、如图，在ABC中，6,5 BCACAB，D
44、、E分别是边AB、AC上的两个动点（D不与A、B重合），且保持BCDE，以DE为边，在点A的异侧作正方形DEFG.（1）试求ABC的面积；（2）当边FG与BC重合时，求正方形DEFG的边长；（3）设xAD，ABC与正方形DEFG重叠部分的面积为y，试求y关于x的函数关系式，并写出定义域；（4）当BDG是等腰三角形时，请直接写出AD的长。解：（1）过A作BCAH于H，6,5 BCACAB，321BCBH.文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3
45、N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J
46、2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9
47、文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1
48、M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G
49、5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5
50、L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10D1M3N9 HJ3X6Y3G5J2 ZR9X1M7N5L9文档编码:CC3S10