中学生网络课堂
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.如图，已知二次函数y=-x2+2mx的图象经过点B（1，2），与x轴的另一个交点为A，点B关于抛物线对称轴的对称点为C，过点B作直线BM⊥x轴垂足为点M. 在直线BM上有点P（1，
），连结CP和CA，在坐标轴上以A、C、P、E为顶点的四边形为直角梯形，则满足条件的点E的坐标为（ ）
），连结CP和CA，在坐标轴上以A、C、P、E为顶点的四边形为直角梯形，则满足条件的点E的坐标为（ ） A: E1（ ，0）、E2（0，-） |
B: E1（ ，0）、E2（0，- ） |
C: E1（2，0）、E2（0，- ） |
D: E1（ ，0）、E2（0，- ） |
一次做对，真牛！
+5奖励规则>
- 提示1：IOWIhuKRoOW9k+eCuUXlnKh46L205LiK77yMUEXiiKVDQe+8jOKRoeW9k+eCuUXlnKh56L205LiK77yMUEPiiKVBRe+8jOS4pOenjeaDheWGteiuqOiuuuWNs+WPr+W+l+WIsOS9v+W+l+S7pUHjgIFD44CBUOOAgUXkuLrpobbngrnnmoTlm5vovrnlvaLkuLrnm7Top5Lmoq/lvaLnmoTngrlF55qE5Z2Q5qCHLg==
- 答案：QQ==
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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，已知抛物线y=-x2+4x（x≥0）与抛物线y=
x2相交于点O和点A，现有一条动直线x=t（0＜t＜3）与它们分别交于点B和点C. 当直线运动到何位置即t为（ ）时，四边形OCAB为梯形
x2相交于点O和点A，现有一条动直线x=t（0＜t＜3）与它们分别交于点B和点C. 当直线运动到何位置即t为（ ）时，四边形OCAB为梯形 A:  或 |
B:  或 |
C: 或 |
D:  或 |
一次做对，真牛！
+5奖励规则>
- 提示1：IOacieS4pOenjeaDheWGteKRoEFC4oilT0PvvIzikaFPQuKIpUFD77yM5YiG5Yir5rGC5b6X5a6D5Lus55qE6Kej5p6Q5byP77yM5aaC5p6c5Lik55u057q/5bmz6KGM77yM5YiZ55u057q/55qE5pac546H55u4562J77yM5Y2z5Y+v5rGC5b6XdOeahOWAvC4=
- 答案：RA==
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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，二次函数y=
x2-2x+2，过点M（2，0），直线AB与该二次函数的图象交于A（0，2）、B（6，8）两点. P为线段AB上一动点（A、B两端点除外），过P作x轴的垂线与二次函数的图象交于点Q，线段AB上存在一点P，使四边形PQMA为梯形，请求出点P的坐标（ ）
x2-2x+2，过点M（2，0），直线AB与该二次函数的图象交于A（0，2）、B（6，8）两点. P为线段AB上一动点（A、B两端点除外），过P作x轴的垂线与二次函数的图象交于点Q，线段AB上存在一点P，使四边形PQMA为梯形，请求出点P的坐标（ ） | A: （2，4） |
| B: （4，6） |
| C: （3，5） |
| D: （1，3） |
一次做对，真牛！
+5奖励规则>
- 提示1：IOimgeaDs+S9v1BRTUHkuLrmoq/lvaLvvIzlj6rmnInkuIDnp43mg4XlhrXvvIzljbNNUeKIpUFQ77yM5Y+v5qC55o2u55u057q/QULnmoTmlpznjoflkoxN54K555qE5Z2Q5qCH5rGC5Ye655u057q/TVHnmoTop6PmnpDlvI/vvIzogZTnq4vmipvniannur/nmoTop6PmnpDlvI/ljbPlj6/msYLlh7pR54K555qE5Z2Q5qCH77yM5bCGUeeahOaoquWdkOagh+S7o+WFpeebtOe6v0FC5Lit5Y2z5Y+v5rGC5Ye6UOeCueeahOWdkOaghw==
- 答案：Qg==
6Kej77ya6K6+UO+8iHjvvIx577yJPGJyPuKItVDlnKjnur/mrrVBQuS4iu+8jOWImVDnmoTmqKrlnZDmoIfkuLow77yceO+8nDbml7bvvIzlv4XmnInlr7nlupTnmoTngrlR5Zyo5oqb54mp57q/5LiK77ybPGJyPuWPjeS5i++8jFHnmoTmqKrlnZDmoIfkuLow77yceO+8nDbml7bvvIzlnKjnur/mrrVBQuS4iuW/heacieS4gOeCuVDkuI7kuYvlr7nlupQuIDxicj7lgYforr7lrZjlnKjnrKblkIjmnaHku7bnmoTngrlQ77yM55Sx6aKY5oSP5b6XQU3kuI5QUeS4jeS8muW5s+ihjO+8jDxicj7lm6DmraTmoq/lvaLnmoTkuKTlupXlj6rog73mmK9BUOS4jk1R77yMPGJyPuKItei/h+eCuU3vvIgy77yMMO+8ieS4lOW5s+ihjEFC55qE55u057q/5pa556iL5Li6eT14LTLvvIw8YnI+55SxPGltZyB3aWR0aD0xMTcgaGVpZ2h0PTYyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvQzYvNkYvckJBQ0UxUHA0OHZRcm1DQ0FBQURlR2VqdUl3NDM5LnBuZyI+PGJyPua2iOWOu3nlvpfvvJp4PHN1cD4yPC9zdXA+LTZ4Kzg9MO+8jOWNs++8iHgtMu+8ie+8iHgtNO+8iT0w77yMPGJyPuino+W+l3g9MuaIlng9NO+8jDxicj7iiLXlvZN4PTLml7bvvIxQ54K544CBUeeCueOAgU3ngrkg5LiJ54K55YWx57q/77yM5LiOQeeCueWPquiDveaehOaIkOS4ieinkuW9ou+8jOiAjOS4jeiDveaehOaIkOair+W9ou+8mzxicj7iiLR4PTLov5nkuKrop6PoiI3ljrsuIDxicj7iiLTov4dN54K555qE55u057q/5LiO5oqb54mp57q/55qE5Y+m5LiA5Lqk54K55Li677yINO+8jDLvvInvvIw8YnI+4oi15q2k5Lqk54K55qiq5Z2Q5qCHNO+8jOiQveWcqDDvvJx477ycNuiMg+WbtOWGhe+8jDxicj7iiLRR55qE5Z2Q5qCH5Li677yINO+8jDLvvInml7bvvIxQ77yINO+8jDbvvInnrKblkIjmnaHku7bvvIw8YnI+5Y2z5a2Y5Zyo56ym5ZCI5p2h5Lu255qE54K5UO+8jOWFtuWdkOagh+S4uu+8iDTvvIw277yJ77yMPGJyPuaVhemAiULjgII=
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=a（x-1）2+4与x轴交于点A，B，与y轴交于点C，过点C作CD∥x轴交抛物线的对称轴于点D，连接BD，已知点A的坐标为（-1，0）求梯形COBD的面积（ ）. 
| A: 4 |
| B: 5 |
| C: 6 |
| D: 7 |
一次做对，真牛！
+5奖励规则>
- 提示1：IOaKm+eJqee6v+ino+aekOW8j+S7pHg9MOaxguWHunnnmoTlgLzvvIzmsYLlh7pPQ+eahOmVv++8jOagueaNruWvueensOi9tOaxguWHukNE55qE6ZW/77yM5LukeT0w5rGC5Ye6eOeahOWAvO+8jOehruWumuWHuk9C55qE6ZW/77yM5Yip55So5qKv5b2i6Z2i56ev5YWs5byP5Y2z5Y+v5rGC5Ye65qKv5b2iQ09CROeahOmdouenry4=
- 答案：Qw==
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
本课配套习题挑战模式5/5
单选题
难度系数：
5.如图，已知抛物线y=
x2-
x-3与x轴的交点为A、D（A在D的右侧），与y轴的交点为C. 设点C关于抛物线对称轴的对称点为B，在抛物线上存在点P，使得以A、B、C、P四点为顶点的四边形为梯形,则此时点P的坐标为（ ）
x2-x-3与x轴的交点为A、D（A在D的右侧），与y轴的交点为C. 设点C关于抛物线对称轴的对称点为B，在抛物线上存在点P，使得以A、B、C、P四点为顶点的四边形为梯形,则此时点P的坐标为（ ） | A: （-2，0）或（6，6） |
| B: （-2，0）或（3，6） |
C: （1， ）或（6，-6） |
D: （-1， ）或（3，6） |
一次做对，真牛！
+5奖励规则>
- 提示1：IOiLpUJD4oilQVA8c3ViPjE8L3N1Yj7vvIznoa7lrprmoq/lvaJBQkNQPHN1Yj4xPC9zdWI+LiDmraTml7ZQPHN1Yj4xPC9zdWI+5LiOROeCuemHjeWQiO+8jOWNs+WPr+axguW+l+eCuVA8c3ViPjE8L3N1Yj7nmoTlnZDmoIfvvJs=
- 提示2：IOiLpUFC4oilQ1A8c3ViPjI8L3N1Yj7vvIznoa7lrprmoq/lvaJBQkNQPHN1Yj4yPC9zdWI+LiDlhYjmsYLlh7rnm7Tnur9DUDxzdWI+Mjwvc3ViPueahOino+aekOW8j++8jOWGjeiBlOeri+aKm+eJqee6v+S4juebtOe6v+ino+aekOW8j+axguWHuueCuVA8c3ViPjI8L3N1Yj7nmoTlnZDmoIcu
- 答案：QQ==
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