初三数学 (北师版)
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.边长为1的正方形OABC的顶点A在x正半轴上,点C在y正半轴上,将正方形OABC绕顶点O顺时针旋转75°,如图所示,使点B恰好落在函数y=ax2(a<0)的图象上,则a的值为( )
A: |
B: 1 |
C: |
D: |
一次做对,真牛!
+5奖励规则>
- 提示1:IOi/h+eCuULlkJF46L205byV5Z6C57q/77yM6L+e5o6lT0LvvIzlj6/lvpdPQueahOmVv+W6pu+8jOi/m+iAjOW+l+WIsOeCuULnmoTlnZDmoIfvvIzku6PlhaXkuozmrKHlh73mlbDop6PmnpDlvI/ljbPlj6/msYLop6M=
- 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.如图,在平面直角坐标系中,二次函数y=ax2+mc(a≠0)的图象经过正方形ABOC的三个顶点,且ac=-2,则m的值为( )
A: 1 |
B: -1 |
C: 2 |
D: -2 |
一次做对,真牛!
+5奖励规则>
- 提示1:IOS4u+imgeiAg+ato+aWueW9ouaAp+i0qO+8jOaKimPngrnlnZDmoIfmsYLlh7rmnaXku6PlhaXkuozmrKHlh73mlbB5PWF4PHN1cD4yPC9zdXA+K21j5Lit5bCx5Y+v5Lul5rGC5Ye6beS6hi4=
- 答案:QQ==
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
本课配套习题挑战模式3/5
单选题
难度系数:
3.如图,在平面直角坐标系中,二次函数y=ax2+c(a≠0)的图象过边长为1的正方形ABOC的三个顶点A、B、C,则ac的值为( )
A: -2 |
B: -1 |
C: |
D: |
一次做对,真牛!
+5奖励规则>
- 提示1:IOimgeaxgmFj55qE5YC877yM5bCx6KaB5rGC5Ye6YeOAgWPnmoTlgLzvvIzkuZ/lsLHmmK/opoHmsYLlh7rkuozmrKHlh73mlbDnmoTop6PmnpDlvI8uIOimgeaxguino+aekOW8j+WwseimgeaxguWHukHjgIFC44CBQ+S4ieeCueeahOWdkOagh++8jOimgeaxguWdkOagh+agueaNruato+aWueW9oueahOaAp+i0qOWwseWPr+S7peino+WGs+mXrumimOiAjOaxguWHuue7k+aenOOAgg==
- 答案:QQ==
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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,抛物线y=-+2bx+c(b>0)与y轴交于点C,点P为抛物线顶点,分别作点P,C关于原点O的对称点P′,C′,顺次连接四点得四边形PC P′C′. 四边形PCP′C′为正方形时,符合条件的b,c的值分别为( )
A: c=-1,b=1 |
B: c=1,b=1 |
C: c=1,b=-1 |
D: 不能确定 |
一次做对,真牛!
+5奖励规则>
- 提示1:IOW9k+Wbm+i+ueW9olBDUOKAskPigLLog73miJDkuLrmraPmlrnlvaLml7bvvIxQUOKAsuKKpUND4oCy5LiUT1A9T0PvvIzliJnmraTml7bngrlQ5b+F5ZyoeOi9tOS4iu+8jOWIqeeUqOWFrOW8jzxpbWcgd2lkdGg9ODkgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNzUvQjkvckJBQ0ZGUGtjUVdCSm15d0FBQUNvZzVhRWh3MzAyLnBuZyI+PWMrYjxzdXA+Mjwvc3VwPj0w4pGg77yM6L+b6ICM5b6X5Ye6T1A9T0PvvIzngrlD5b+F5Zyoeei9tOeahOi0n+WNiui9tOS4iu+8jOWImWI9LWPikaHvvIzmsYLlh7pi77yMY+WNs+WPry4=
- 答案:QQ==
6Kej77ya5b2T5Zub6L655b2iUENQ4oCyQ+KAsuiDveaIkOS4uuato+aWueW9ouaXtu+8jFBQ4oCy4oqlQ0PigLLkuJRPUD1PQzxicj7mraTml7bngrlQ5b+F5ZyoeOi9tOS4iu+8jDxicj7iiLQ8aW1nIHdpZHRoPTg5IGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzc1L0I5L3JCQUNGRlBrY1FXQkpteXdBQUFDb2c1YUVodzMwMi5wbmciPj1jK2I8c3VwPjI8L3N1cD49MOKRoO+8jDxicj7iiLVPUD1PQ++8jOeCuUPlv4XlnKh56L2055qE6LSf5Y2K6L205LiK77yM4oi0Yj0tY+KRoe+8jDxicj7nlLHikaDikaHlvpfvvIxjPTDvvIjoiI3ljrvvvInvvIxjPS0x77yMPGJyPuKItGI9MS4gPGJyPuaVhemAiUHjgII=
本课配套习题挑战模式5/5
单选题
难度系数:
5.已知:抛物线m:y=a+b(ab<0)的顶点为P,与x轴的交点为A,B(点A在点B的左侧). 若将抛物线m沿x轴翻折180°得抛物线n,抛物线n的顶点为Q,则以A,P,B,Q为顶点的四边形为正方形a,b满足的关系式为()
A: ab=1 |
B: ab=2 |
C: ab=-1 |
D: ab=-2 |
一次做对,真牛!
+5奖励规则>
- 提示1:IOagueaNruaKm+eJqee6v23msr946L2057+75oqYMTgwwrDlvpfmipvniannur9u77yM5YiZQUI9UFHml7bvvIzlm5vovrnlvaJBUEJR5piv5q2j5pa55b2i77yM5Y2z5Y+v5rGC5Ye6Lg==
- 答案:Qw==
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