初三数学 (北师版下册)
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.如图,抛物线经过A,C,D三点,且三点坐标为A(-1,0),C(0,5),D(2,5),抛物线与x轴的另一个交点为B点,点F为y轴上一动点,作平行四边形DFBG,当四边形DFBG为矩形时F点坐标为()
A: (0,1)或(0,2) |
B: (0,3)或(0,4) |
C: (0,1)或(0,3) |
D: (0,2)或(0,3) |
一次做对,真牛!
+5奖励规则>
- 提示1:IOi/nuaOpUNE77yM54S25ZCO5rGC5Ye64pazQ0RG5ZKM4pazT0ZC55u45Ly877yM5qC55o2u55u45Ly85LiJ6KeS5b2i5a+55bqU6L655oiQ5q+U5L6L5YiX5byP5rGC5Ye6T0bvvIznhLblkI7lhpnlh7rngrlG55qE5Z2Q5qCH5Y2z5Y+v
- 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,抛物线m:y=ax2+b(a<0,b>0)与x轴于点A、B(点A在点B的左侧),与y轴交于点C. 将抛物线m绕点B旋转180°,得到新的抛物线n,它的顶点为C1,与x轴的另一个交点为A1. 若四边形AC1A1C为矩形,则a,b应满足的关系式为( )
A: ab=-2 |
B: ab=-3 |
C: ab=-4 |
D: ab=-5 |
一次做对,真牛!
+5奖励规则>
- 提示1:IOWBh+iuvmE9LTHvvIxiPTHlvpflh7rmipvniannur9t55qE6Kej5p6Q5byP77yM5YaN5Yip55SoQ+S4jkM8c3ViPjE8L3N1Yj7lhbPkuo7ngrlC5Lit5b+D5a+556ew77yM5b6X5Ye65LqM5qyh5Ye95pWw55qE6aG254K55Z2Q5qCH77yM5Yip55So55+p5b2i5oCn6LSo5b6X5Ye66KaB5L2/5bmz6KGM5Zub6L655b2iQUM8c3ViPjE8L3N1Yj5BPHN1Yj4xPC9zdWI+Q+aYr+efqeW9ou+8jOW/hemhu+a7oei2s0FCPUJD77yM5Y2z5Y+v5rGC5Ye6Lg==
- 答案:Qg==
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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,已知抛物线l1:y=x2−6x+5与x轴分别交于A、B两点,顶点为M. 将抛物线l1沿x轴翻折后再向左平移得到抛物线l2. 若抛物线l2过点B,与x轴的另一个交点为C,顶点为N,则四边形AMCN的面积为( )
A: 32 |
B: 16 |
C: 50 |
D: 40 |
一次做对,真牛!
+5奖励规则>
- 提示1:IOeUseaKm+eJqee6v2w8c3ViPjE8L3N1Yj7nmoTop6PmnpDlvI/lj6/msYJBQueahOmVv++8jOagueaNruWvueensOaAp+WPr+efpUJDPUFC77yM5YaN5rGC5oqb54mp57q/55qE6aG254K55Z2Q5qCH77yM55So6K6h566X5LiJ6KeS5b2i6Z2i56ev55qE5pa55rOV5rGC5Zub6L655b2iQU1DTueahOmdouenrw==
- 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.已知二次函数y=-+6x-5的图象与x轴交于点A、B(点A在点B的左侧),顶点为C. 二次函数y=-2mx+-4的图象与x轴交于点D、E(点D在点E的左侧),顶点为F. 则存在以六点A、B、C、D、E、F中的四点为顶点的四边形为矩形,请求出此时的m 的值为( )
A: -9或3 |
B: -3或9 |
C: 9 |
D: 3 |
一次做对,真牛!
+5奖励规则>
- 提示1:IEHjgIFC44CBROOAgUXlm5vngrnlnKjlkIzkuIDnm7Tnur/kuIrvvIzkuI3lj6/og73mnoTmiJDlm5vovrnlvaLvvIzmmL7nhLbvvIziiKBBQ0LiiaA5MMKw77yM4oigQUNC5Lmf5LiN5Y+v6IO95Li655+p5b2i55qE5LiA5Liq5YaF6KeS77yM5omA5Lul5Zub6L655b2i5Li655+p5b2i55qE6aG254K55Y+q6IO95pivQeOAgUPjgIFF44CBRuaIlkLjgIFD44CBROOAgUbvvJvnhLblkI7liIblvZPku6Xlm5vovrnlvaJBQ0VG5Li655+p5b2i5pe25ZKM5b2T5Zub6L655b2iQkNERuS4uuefqeW9ouaXtuS4pOenjeaDheWGteWIhuexu+iuqOiuuuWNs+WPr+ehruWumm3nmoTlgLwu
- 答案:Qg==
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
本课配套习题挑战模式5/5
单选题
难度系数:
5.y=x2-x-2与x轴交于A、B两点,与y轴交于点C,其中B、C两点坐标分别为B(4,0)、C(0,-2),连结AC. △ABC内部存在一矩形DEFC(顶点D、E、F、G在△ABC各边上)当矩形DEFC面积最大时,AB边上的矩形顶点的坐标是( )
A: (,0),(2,0)或() |
B: (,0),(2,0)或() |
C: (,0),(-2,0)或() |
D: (,0),(2,0)或() |
一次做对,真牛!
+5奖励规则>
- 提示1:IOKWs0NHRuKIveKWs0NBQu+8jOWIqeeUqOe6v+auteavlOaxguWHuuacieWFs+e6v+auteeahOWAvC4g5rGC5Ye6UzxzdWI+55+p5b2iREVGRzwvc3ViPueahOacgOWkp+WAvC4g5YaN5qC55o2u4pazQURH4oi94pazQU9D55qE57q/5q615q+U5rGC6Kej
- 答案:QQ==
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