初三数学 (人教版上册)
二次函数综合
本课配套习题挑战模式1/5
单选题
难度系数:
1.把抛物线y=-x2+x沿x轴向右平移1个单位后,再沿x轴翻折得到抛物线C1称为第一次操作,把抛物线C1沿x轴向右平移1个单位后,再沿x轴翻折得到抛物线C2称为第二次操作,…,以此类推,则抛物线y=-x2+x经过第2014此操作后得到的抛物线C2014的解析式为( )
A: y= |
B: y= |
C: y= |
D: y= |
一次做对,真牛!
+5奖励规则>
- 提示1:IOe7j+i/h+esrDIwMTTmraTmk43kvZzlkI7lvpfliLDnmoTmipvniannur9DPHN1Yj4yMDE0IDwvc3ViPuS4juaKm+eJqee6v3k9LXg8c3VwPjI8L3N1cD4reOW8gOWPo+aWueWQkeebuOWQjO+8jOebuOW9k+S6juaKm+eJqee6v3k9LXg8c3VwPjI8L3N1cD4reOayv3jovbTlkJHlj7PlubPnp7syMDE05Liq5Y2V5L2N77yM5YaN5qC55o2u5bmz56e76KeE5b6L5rGC6Kej5Y2z5Y+vLg==
- 答案:RA==
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
本课配套习题挑战模式2/5
单选题
难度系数:
2.将二次函数y=-2(x-1)2-1的图象先向右平移一个单位,再沿x轴翻折到第一象限,然后向右平移一个单位,再沿y轴翻折到第二象限…以此类推,如果把向右平移一个单位再沿坐标轴翻折一次记作1次变换,那么二次函数y=-2(x-1)2-1的图象经过2009次变换后,得到的图象的函数解析式为( )
A: y=2(x-2)2+1 |
B: y=2(x+3)2+1 |
C: y=-2(x+2)2-1 |
D: y=-2(x-1)2-1 |
一次做对,真牛!
+5奖励规则>
- 提示1:IOagueaNrumimOaEj++8jOWPmOaNouWbm+asoeWImuWlveWPiOWbnuWIsOS6huWOn+adpeeahOS9jee9ru+8jOWPmOaNojIwMDnmrKHlsLHnm7jlvZPlj5jmjaLkuIDmrKHvvIzmsYLlj5jmjaLkuIDmrKHnmoTlh73mlbDooajovr7lvI/liJnlj68u
- 答案:QQ==
6Kej77yaMjAwOcO3ND01MDLigKYx77yM5omA5Lul5Y+Y5o2iMjAwOeasoeWunumZheWwseebuOW9k+WPmOaNouS4gOasoS4g5oqKeT0tMu+8iHgtMe+8iTxzdXA+Mjwvc3VwPi0x55qE5Zu+6LGh5YWI5ZCR5Y+z5bmz56e75LiA5Liq5Y2V5L2N77yM5b6XeT0tMu+8iHgtMu+8iTxzdXA+Mjwvc3VwPi0x77yM5YaN5rK/eOi9tOe/u+aKmOWIsOesrOS4gOixoemZkOW+ly15PS0y77yIeC0y77yJPHN1cD4yPC9zdXA+LTHvvIzljbN5PTLvvIh4LTLvvIk8c3VwPjI8L3N1cD4rMS4gPGJyPuaVhemAiUEuIA==
本课配套习题挑战模式3/5
单选题
难度系数:
3.如图,已知:∠MON=30°,点A1、A2、A3在射线ON上,点B1、B2、B3…在射线OM上,△A1B1A2、△A2B2A3、△A3B3A4…均为等边三角形,若OA1=1,则△A6B6A7的边长为()
A: 16 |
B: 32 |
C: 64 |
D: 48 |
一次做对,真牛!
+5奖励规则>
- 提示1: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
- 答案:Qg==
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
本课配套习题挑战模式4/5
单选题
难度系数:
4.如图,已知∠MON=30°,点A1、A2、A3…在射线ON上,点B1、B2、B3…在射线OM上,△A1B1A2、△A2B2A3、△A3B3A4…均为等边三角形,若OA1=1,△A2012B2012A2013的边长为( )
A: 22011 |
B: 22012 |
C: 22013 |
D: 22014 |
一次做对,真牛!
+5奖励规则>
- 提示1: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
- 答案:QQ==
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
本课配套习题挑战模式5/5
单选题
难度系数:
5.记抛物线y=-x2+2012的图象与y正半轴的交点为A,将线段OA分成2012等份,设分点分别为P1,P2,…,P2011,过每个分点作y轴的垂线,分别与抛物线交于点Q1,Q2,…,Q2011,再记直角三角形OP1Q1,P1P2Q2,…的面积分别为S1,S2,…,这样就记w=s12+s22+…+s20112,W的值为( )
A: 505766 |
B: 505766.5 |
C: 505765 |
D: 505764 |
一次做对,真牛!
+5奖励规则>
- 提示1: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
- 答案:Qg==
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