如图,抛物线y=ax2+bx+4与x轴交于A(-2,0)、B(4、0)两点,与y轴交于C...
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发布时间：2024-10-12 06:39
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时间：2024-10-12 19:35
4a?2b+4＝016a+4b+4＝0，
解得：a=-12，b=1，
∴抛物线的解析式是：y=-12x2+x+4，
答：抛物线的解析式是y=-12x2+x+4．
（2）由y=-12x2+x+4=-12（x-1）2+92，得抛物线的对称轴为直线x=1，
直线x=1交x轴于点D，设直线x=1上一点T（1，h），
连接TC、TA，作CE⊥直线x=1，垂足是E，
由C（0，4）得点E（1，4），
在Rt△ADT和Rt△TEC中，由TA=TC得32+h2=12+（4-h）2，
∴h=1，
∴T的坐标是（1，1），
答：点T的坐标是（1，1）．
（3）（I）当0＜t≤2时，△AMP∽△AOC，
∴PMCO=AMAO，PM=2t，
AQ=6-t，
∴S=12PM?AQ=12×2t（6-t）=-t2+6t=-（t-3）2+9，
当t=2时S的最大值为8；
（II）当2＜t≤3时，
作PM⊥x轴于M，作PF⊥y轴于点F，
则△COB∽△CFP，
又∵CO=OB，
∴FP=FC=t-2，PM=4-（t-2）=6-t，AQ=4+32（t-2）=32t+1，
∴S=12PM?AQ=12（6-t）（32t+1）=-34t2+4t+3=-34（t-83）2+已赞过已踩过你对这个回答的评价是？评论收起 // 高质or满意or特型or推荐答案打点时间 window.iPerformance && window.iPerformance.mark('c_best', +new Date); 推荐律师服务：若未解决您的问题，请您详细描述您的问题，通过百度律临进行免费专业咨询 ._1uevpeq{zoom:1;background-color:#fff;border:0;margin-bottom:10px;padding:30px 0 20px 42px;position:relative}._1uevpeq.ec-1841{padding:20px 0}._1uevpeq.ec-2246{padding:20px 0 10px}.ec-1841 .y7we4hu{font-size:16px;margin-bottom:-5px}.y7we4hu{color:#7a8f9a;height:25px;line-height:25px;overflow:hidden;position:relative}.y7we4hu h2{margin:0;padding:0}.y7we4hu:after{clear:both;content:" ";display:block;height:0;visibility:hidden}a.tycfu7u{color:#666;float:right;font-size:12px;margin-left:8px;text-decoration:none}.hhhv6ex{color:#666;font-size:13px;line-height:normal;line-height:20px;margin-top:10px}.vnsdjzp{margin-top:15px;position:relative}.vnsdjzp h3{font-weight:400;padding:0}.vnsdjzp a{text-decoration:none}.vnsdjzp em{color:#d81419;font-style:normal}.ec-2246 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