16006000? xx?2(m?8)?200?(m?10)?600?1200
化简得:2(m?8)?6(m?10)?12 解得:m?11
答:销售单价至少为11元. 22.解:(1)作AM?BC
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2018年中考真题
?AB?AC,AM?BC,BC?2
BM?CM?1BC?1 2?cosB?BM10,在Rt?AMB中,BM?1 ?AB1010?10. 10?AB?BM?cosB?1?(2)连接DC
?AB?AC ??ACB??ABC
∵四边形ABCD内接于圆O,
??ADC??ABC?180?,
??ACE??ACB?180?,
??ADC??ACE ??CAE公共 ??EAC∽?CAD ?ACAE? ADAC2?AD?AE?AC??10?2?10.
(3)在BD上取一点N,使得BN?CD
?AB?AC?
在?ABN和?ACD中??3??1
?BN?CD?
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2018年中考真题
??ABN??ACD(SAS)
?AN?AD
?AN?AD,AH?BD
?NH?HD
?BN?CD,NH?HD
?BN?NH?CD?HD?BH.
1??3??23.解:(1)把点B??,2?代入y?a?x???2,解得:a?1,
2??2??71??2∴抛物线的解析式为:y??x???2或y?x?x?;
42??(2)设直线AB解析式为:y?kx?b,代入点A,B的坐标得:
221??2?k?b??k??2?2,解得:?,∴直线AB的解析式为:y??2x?1, ??b??1?2??3k?b??2易求E?0,1?,F?0,???7??1?,M???,0?, 4??2?若?OPM??MAF,
则当OP//AF时,?OPE∽?EAE,
OPOE14???, FAFE334244?17?5???OP?FA??6??2??, ????33?24?3??2 10
2018年中考真题
设点P?t,?2t?1?,则:t2?(?2t?1)2?解得t1??5 322,t2??, 1532由对称性知;当t1??时,也满足?OPM??MAF,
1522?t1??,t2??都满足条件
153111??POE的面积?OE?l,??POE的面积为或.
2153
11