2022年广东省初中毕业生学业考试数学科试卷和答案.pdf

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1、-1-2017年广东省初中毕业生学业考试数学说明：1.全卷共 6 页，满分为 120 分，考试用时为 100 分钟。2.答卷前，考生务必用黑色字迹的签字笔或钢笔在答题卡填写自己的准考证号、姓名、考场号、座位号。用2B铅笔把对应该号码的标号涂黑。3.选择题每小题选出答案后，用 2B铅笔把答题卡上对应题目选项的答案信息点涂黑，如需改动，用橡皮擦干净后，再选涂其他答案，答案不能答在试题上。4.非选择题必须用黑色字迹钢笔或签字笔作答,答案必须写在答题卡各题目指定区域内相应位置上；如需改动，先划掉原来的答案，然后再这写上新的答案；不准使用铅笔和涂改液。不按以上要求作答的答案无效。5.考生务必保持答题卡的

2、整洁。考试结束时，将试卷和答题卡一并交回。一、选择题（本大题10 小题，每小题 3 分，共 30 分）在每小题列出的四个选项中，只有一个是正确的，请把答题卡上对应题目所选的选项涂黑.1.5 的相反数是()A.15 B.5 C.-15 D.-5 2.“一带一路”倡议提出三年以来，广东企业到“一带一路”国家投资越来越活跃.据商务部门发布的数据显示。2016 年广东省对沿线国家的实际投资额超过4 000 000 000 美元.将 4 000 000 000用科学记数法表示为()A.0.4 910 B.0.41010 C.4910 D.410103.已知70A,则A的补角为()A.110 B.70 C

3、.30 D.204.如果 2 是方程230 xxk的一个根，则常数k 的值为()A.1 B.2 C.-1 D.-2 5.在学校举行“阳光少年，励志青春”的演讲比赛中，五位评委给选手小明的评分分别为：90，85，90，80，95，则这组的数据的众数是()A.95 B.90 C.85 D.80 6.下列所述图形中，既是轴对称图形又是中心对称图形的是()A.等边三角形 B.平行四边形 C.正五边形 D.圆7.如题 7 图，在同一平面直角坐标系中，直线11(0)yk x k与双曲线22(0)kykx相交于 A、B两点，已知点 A的坐标为（1，2），则点 B的坐标为()A.（-1，-2）B.（-2，-1

4、）C.（-1，-1）D.（-2，-2）8.下列运算正确的是()题 7 图-2-A.223aaa B.325aaa C.426()aa D.424aaa9.如题 9 图，四边形 ABCD 内接于 O，DA=DC，CBE=50，则DAC 的大小为()A.130 B.100 C.65 D.5010.如题 10 图，已知正方形 ABCD，点 E是 BC边的中点，DE与 AC相交于点 F，连接 BF，下列结论：ABFADFSS；4CDFCBFSS；2ADFCEFSS；2ADFCDFSS,其中正确的是()A.B.C.D.二、填空题(本大题 6 小题，每小题 4 分，共 24 分)请将下列各题的正确答案填写

5、在答题卡相应的位置上.11.分解因式：aa2 .12.一个 n 边形的内角和是720，那么 n=.13.已知实数 a,b 在数轴上的对应点的位置如题13 图所示，则ab 0(填“”,“14、5215、-1 16、10三、解答题（一）17、计算：1-031-1-7-解：原式=7-1+3=9 18、先化简，再求值：5421212xxxx，其中解：222222xxxxxx原式x2当5x时，上式=5219、解：设男生x 人，女生y 人，则有1612124040506802030yxyxyx解得答：男生有12 人，女生16 人。四、解答题（二）20、（1）作图略（2）ED 是 AB 的垂直平分线EA=E

6、B EAC=B=50 AEC 是 ABE 的外角 AEC=EBA+B=10021、（1）如图，ABCD、ADEF 是菱形AB=AD=AF文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y

7、8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6

8、Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I

9、6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10

10、I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J1

11、0I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J

12、10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10

13、J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3-8-又 BAD=FAD由等腰三角形的三线合一性质可得ADBF（2）BF=BCBF=AB=AF ABF 是等比三角形 BAF=60又 BAD=FAD BAD=30 ADC=180-30=15022、（1）、52（2）144（3）（人）720%1002008052121000答：略五、解答题（三）23、解（1）把 A（1,0）B（3,0）代入baxxy2得3403901-bababa解得342xxy（2）过 P 做 PMx 轴与 MP 为 BC 的中点，PMy 轴M 为 OB 的中点P 的横坐标为23把 x=23代入342xxy得4

14、3y43,23P（3）PMOC OCB=MPB，2343MBPM，54349169PBsinMPB=55254323PBBMsinOCB=55224、证明：连接AC，文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档

15、编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文

16、档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3

17、文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U

18、3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10

19、U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P1

20、0U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P

21、10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3-9-AB 为直径，ACB=90 1+2=90，2+3=90 1=3 又 CP 为切线 OCP=90DC 为直径 DBC=90 4+DCB=90，DCB+D=90 4=D又弧 BC=弧 BC 3=D 1=4 即：CB 是 ECP 的平分线（2）ACB=90 5+4=90，ACE+1=90由（1）得 1=4 5=ACE在 RtAFC 和 RtAEC 中AECAFCACACECAFCAAECF90CF=CE（3）延长 CE 交 DB 于 QxxxEQxCQCPPQCBQCBCBxCECFxCPxCFCPC

22、F344324343的角平分线是）得由（，设：文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8

23、HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8

24、 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y

25、8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6

26、Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I

27、6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10

28、I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3-10-332321806

29、032346060-60-18060333tan33290219019022的长度为：弧中，在即，BCOBABCBECBExxEBCECBECEBxEBEBxxEQCEEBEQEBEBCEBEQCEBCQBCQBCBQEBCE25、（1）232，（2）存在理由：如图1 若 ED=EC 由题知：ECD=EDC=30DEDB BDC=60 BCD=90-ECD=60 BDC 是等边三角形，CD=BD=BC=2 AC=422OCOAAD=AC-CD=4-2=2 如图 2 若 CD=CE依题意知：ACO=30，CDE=CED=15DEDB，DBE=90 ADB=180-ADB-CDE=75 BAC=O

30、CA=30 ABD=180-ADB-BAC=75 ABD 是等腰三角形，AD=AB=32：若 DC=DE 则 DEC=DCE=30或 DEC=DCE=150 DEC90，不符合题意，舍去综上所述：AD 的值为 2 或者32，CDE 为等腰三角形文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:C

31、P6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:

32、CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码

33、:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编

34、码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档

35、编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文

36、档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3

37、文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3-11-（3）如图（1），过点 D 作 DGOC 于点 G，DH BC 于点 H。GDE+EDH=HDB+EDH=90 GDE=HDB 在DGE 和DHB 中，0DGE=90GDEHDBDHBDGEDHBVVDGDE=DHDB3DH=GC,tan3DGACOGCDE3DB3如图（2），作IDIAB 于点。2222222223223(23)23333(23)323(3)333y=3xADxDIAIxBDDIBIxxyBD DE

38、BDxxxyxyQg在时取到最小值，的最小值为文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8

39、HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8

40、 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y

41、8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6

42、Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I

43、6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3文档编码:CP6E10J10I6Y8 HR2P6I7P7K9 ZP5G7J6P10U3