1/5单选题
难度：
1.如图，在平面直角坐标系中，已知抛物线y＝−
x2+
x+1经过点A（0，1）、B（3，
）两点，BC⊥x轴，垂足为C. 点P是线段AB上的一动点（不与A，B重合），过点P作x轴的垂线交抛物线于点M，设点P的横坐标为t. 连结PC，当t为（）时，四边形PMBC是菱形？
x2+x+1经过点A（0，1）、B（3，）两点，BC⊥x轴，垂足为C. 点P是线段AB上的一动点（不与A，B重合），过点P作x轴的垂线交抛物线于点M，设点P的横坐标为t. 连结PC，当t为（）时，四边形PMBC是菱形？ | A | 1 |
| B | 2 |
| C | 3 |
| D | 4 |
- 提示1：
- IOWIqeeUqOiPseW9oueahOWIpOWumuS7peWPiuWLvuiCoeWumueQhuWSjOS4gOWFg+S6jOasoeaWueeoi+eahOino+azleW+l+WHunTnmoTlgLzvvIzov5vogIzlvpflh7rnrKblkIjmnaHku7bnmoTlgLw=
正确答案：QQ==
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
2/5单选题
难度：
2.如图，直线y=x-4与x轴、y轴分别交于A、B两点，抛物线y=
x2-x-4经过A、B两点，与x轴的另一个交点为C，连接BC. 点P从点C出发，沿线段CA由C向A运动，同时点Q从点B出发，沿线段BC由B向C运动，P、Q的运动速度都是每秒1个单位长度，当Q点到达C点时，P、 Q同时停止运动，在坐标平面内存在一点D，使P、Q运动过程中的某一时刻，以C、D、P、Q为顶点的四边形为菱形，则D点的坐标为（ ）
x2-x-4经过A、B两点，与x轴的另一个交点为C，连接BC. 点P从点C出发，沿线段CA由C向A运动，同时点Q从点B出发，沿线段BC由B向C运动，P、Q的运动速度都是每秒1个单位长度，当Q点到达C点时，P、 Q同时停止运动，在坐标平面内存在一点D，使P、Q运动过程中的某一时刻，以C、D、P、Q为顶点的四边形为菱形，则D点的坐标为（ ） | A | （ ， ）、（1，2）或（ ， ） |
| B | （-，）、（1，2）或（-，） |
| C | （-，-）、（1，-2）或（-，） |
| D | （，-）、（1，-2）或（，） |
- 提示1：
- DQrilrNDUFHnmoTkuInovrnlnYflj6/og73miJDkuLroj7HlvaLnmoTlr7nop5Lnur/vvIzku6XmraTkuLrln7rnoYDov5vooYzliIbnsbvorqjorrrvvJo=
- 提示2：
- 4pGgIOS7pUNR5Li66I+x5b2i5a+56KeS57q/77yM5aaC562U5Zu+MS4g5q2k5pe2QlE9dO+8jOiPseW9oui+uemVvz1077yb
- 提示3：
- 4pGhIOiLpeS7pVBR5Li66I+x5b2i5a+56KeS57q/77yM5aaC562U5Zu+Mi4g5q2k5pe2QlE9dO+8jOiPseW9oui+uemVvz1077yb
- 提示4：
- 4pGiIOS7pUNQ5Li66I+x5b2i5a+56KeS57q/77yM5aaC562U5Zu+My4g5q2k5pe2QlE9dO+8jOiPseW9oui+uemVvz01LXQu
正确答案：Qw==
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
3/5单选题
难度：
3.如图，在平面直角坐标系中，抛物线y=
x2+
x+3与x轴交于点A（-4，0），B（-1，0）两点. 在第三象限的抛物线上有一动点D. 若四边形ODAE是以OA为对角线的平行四边形，当平行四边形ODAE为菱形时，菱形的面积为（）
x2+x+3与x轴交于点A（-4，0），B（-1，0）两点. 在第三象限的抛物线上有一动点D. 若四边形ODAE是以OA为对角线的平行四边形，当平行四边形ODAE为菱形时，菱形的面积为（） | A | 4 |
| B | 5 |
| C | 6 |
| D | 8 |
- 提示1：
- IOacrOmimOmcgOe7k+WQiOiPseW9ouOAgeW5s+ihjOWbm+i+ueW9oueahOaAp+i0qOadpei/m+ihjOWIhuaekC4g5aaC562U5Zu+77yM5L2c6L6F5Yqp57q/77yM5rGC5Ye654K5ROeahOWdkOagh++8jOi/m+iAjOWPr+axgumdouenr++8mw==
正确答案：Qw==
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
4/5单选题
难度：
4.如图，在平面直角坐标系中，已知三点A、B、C的坐标分别为a（-6，0），B（2，0），C（0，3）. 过C点作CD平行于x轴交抛物线于点D，若抛物线的顶点为P，连结PC、PD，在抛物线的对称轴上存在一点E，使得四边形CEDP为菱形，则E的坐标为（ ）. 
| A | （-2，4） |
| B | （-2，2） |
| C | （-2，3） |
| D | （2，2） |
- 提示1：
- IOWcqOaKm+eJqee6v+eahOWvueensOi9tOS4iuWPlueCuUXvvIgtMu+8jDLvvInvvIzov57nu5NDReOAgURF77yM6K6+UEXkuqRDROS6jkbvvIzliJlQReaYr0NE55qE5Z6C55u05bmz5YiG57q/77yM5YaN6K+B5piOUEY9RUY9Me+8jOagueaNruWvueinkue6v+S6kuebuOWeguebtOW5s+WIhueahOWbm+i+ueW9ouaYr+iPseW9ouWNs+WPr+W+l+WIsOWbm+i+ueW9okNFRFDmmK/oj7HlvaIu
正确答案：Qg==
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
5/5单选题
难度：
5.如图，二次函数y=
x2-
x-4的图象与x轴交于A（3，0），B（-1，0），与y轴交于点C. 若点P，Q同时从A点出发，都以每秒1个单位长度的速度分别沿AB，AC边运动，其中一点到达端点时，另一点也随之停止运动. 当P，Q运动到t秒时，△APQ沿PQ翻折，点A恰好落在抛物线上D点处，则此时四边形APDQ的形状为（）
x2-x-4的图象与x轴交于A（3，0），B（-1，0），与y轴交于点C. 若点P，Q同时从A点出发，都以每秒1个单位长度的速度分别沿AB，AC边运动，其中一点到达端点时，另一点也随之停止运动. 当P，Q运动到t秒时，△APQ沿PQ翻折，点A恰好落在抛物线上D点处，则此时四边形APDQ的形状为（） | A | 菱形 |
| B | 矩形 |
| C | 平行四边形 |
| D | 正方形 |
- 提示1：
- IOazqOaEj+WIsFDvvIxR6L+Q5Yqo6YCf5bqm55u45ZCM77yM5YiZ4pazQVBR6L+Q5Yqo5pe26YO95Li6562J6IWw5LiJ6KeS5b2i77yM5Y+I55SxQeOAgUTlr7nnp7DvvIzliJlBUD1EUO+8jEFRPURR77yM5piT5b6X5Zub6L655b2i5Zub6L656YO955u4562J77yM5Y2z6I+x5b2iLg==
正确答案：QQ==
6Kej77ya5aaC5Zu+77yMROeCueWFs+S6jlBR5LiOQeeCueWvueensO+8jOi/h+eCuVHkvZzvvIxGUeKKpUFQ5LqORu+8jDxicj48aW1nIHdpZHRoPTE3MSBoZWlnaHQ9MTczIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvNzUvQjYvckJBQ0ZGUGtjTWZqX245UEFBQTRQSGZ1SGdZOTA2LnBuZyI+PGJyPuKItUFQPUFRPXTvvIxBUD1FUO+8jEFRPURR77yMPGJyPuKItEFQPUFRPVFEPURQ77yMPGJyPuKItOWbm+i+ueW9okFRRFDkuLroj7HlvaLjgII8YnI+5pWF6YCJQeOAgg==