中学生网络课堂
初三数学 (通用版上册)
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.已知：如图，在平面直角坐标系xOy中，抛物线y＝
x2−
x+
与x轴相交于B、C两点（点B在点C的左边），与y轴交于点A，过A、B、C三点的圆P，与y轴相切且点P坐标为（2，
）。如果一个动点D自点P出发，先到达y轴上的某点，再到达x轴上某点，最后运动到抛物线的顶点Q处，求使点D运动的总路径最短的路径的长是（ ）。
x2−x+与x轴相交于B、C两点（点B在点C的左边），与y轴交于点A，过A、B、C三点的圆P，与y轴相切且点P坐标为（2，）。如果一个动点D自点P出发，先到达y轴上的某点，再到达x轴上某点，最后运动到抛物线的顶点Q处，求使点D运动的总路径最短的路径的长是（ ）。 A:  |
B:  |
C:  |
D:  |
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2/5
单选题
难度系数：
2.如图，在直角坐标系中，二次函数
的图像与x轴交于A（8，0），与y轴交于B点，在Rt△AOB中，动点P从点A开始沿边AO向点O以1个单位长度的速度运动，动点Q从点O开始沿边OB向点B以每秒2个单位长度的速度运动，当其中一点到达端点时，另一点也随之停止运动. 连结PQ，M为线段PQ的中点，则在整个运动过程中，M点所经过的路径长为（ ）. 
的图像与x轴交于A（8，0），与y轴交于B点，在Rt△AOB中，动点P从点A开始沿边AO向点O以1个单位长度的速度运动，动点Q从点O开始沿边OB向点B以每秒2个单位长度的速度运动，当其中一点到达端点时，另一点也随之停止运动. 连结PQ，M为线段PQ的中点，则在整个运动过程中，M点所经过的路径长为（ ）. A:  |
| B: 2 |
C:  |
| D: 4 |
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3/5
单选题
难度系数：
3.如图，在直角坐标系中，抛物线
交x轴于C（6，0），交y轴于A点，以AC为边作等腰直角Rt△ABC，∠ACB=90°，BC=AC，CP⊥AB于P，顶点C从O点出发沿x轴正方向移动，顶点A随之从y轴正半轴上一点移动到点O为止. 在点C移动的过程中，点P也随之移动，则点P运动的总路径长为（ ）. 
交x轴于C（6，0），交y轴于A点，以AC为边作等腰直角Rt△ABC，∠ACB=90°，BC=AC，CP⊥AB于P，顶点C从O点出发沿x轴正方向移动，顶点A随之从y轴正半轴上一点移动到点O为止. 在点C移动的过程中，点P也随之移动，则点P运动的总路径长为（ ）. A: 10-5 |
| B: 10+5 |
| C: 20-10 |
| D: 20+10 |
一次做对，真牛！
+5奖励规则>
- 提示1：IOWcqOatpOWKqOi/h+eoi+S4re+8jOW9k+eCuUHkuI5P6YeN5ZCI5pe277yM54K5UOWIsOi+vuacgOmrmOeCue+8m+W9k+eCuUPkuI5P6YeN5ZCI5pe277yM54K5UOWIsOi+vuacgOS9jueCue+8m+agueaNruS4ieinkuW9ouWFqOetieW+l+WHulBR77yM54K5UOi/kOWKqOeahOaAu+i3r+W+hOmVv+S4ujJQUS4=
- 答案：Qw==
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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=x2-
x-
与直线y=x-2交于A、B两点（点A在点B的左侧），动点P从A点出发，先到达抛物线的对称轴上的某点E，再到达x轴上的某点F，最后运动到点B. 若使点P运动的总路径最短，则点P运动的总路径的长为（ ）
x-与直线y=x-2交于A、B两点（点A在点B的左侧），动点P从A点出发，先到达抛物线的对称轴上的某点E，再到达x轴上的某点F，最后运动到点B. 若使点P运动的总路径最短，则点P运动的总路径的长为（ ） A:  |
B:  |
C:  |
D:  |
一次做对，真牛！
+5奖励规则>
- 提示1：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
- 答案：QQ==
6Kej77ya5aaC5Zu+PGJyPuKIteaKm+eJqee6v3k9eDxzdXA+Mjwvc3VwPi08aW1nIHdpZHRoPTUgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvQ0MvRTMvckJBQ0UxUHNnaUx4MUZQbEFBQUJHYWoyc05RMTk2LnBuZyI+eC08aW1nIHdpZHRoPTUgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvOTQvN0QvckJBQ0ZGUHNnaUtTLTV6VEFBQUJFenlCSy1zNDU0LnBuZyI+PGJyPuS4juebtOe6v3k9eC0y5Lqk5LqOQeOAgULkuKTngrnvvIw8YnI+4oi0eDxzdXA+Mjwvc3VwPi08aW1nIHdpZHRoPTUgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvQ0MvRTMvckJBQ0UxUHNnaUx4MUZQbEFBQUJHYWoyc05RMTk2LnBuZyI+eC08aW1nIHdpZHRoPTUgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvOTQvN0QvckJBQ0ZGUHNnaUtTLTV6VEFBQUJFenlCSy1zNDU0LnBuZyI+PXgtMu+8jDxicj48aW1nIHdpZHRoPTE1MiBoZWlnaHQ9MTUzIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvQ0MvRTMvckJBQ0UxUHNnaU9DV0ZzNEFBQWFlMDZ5ZEU4MTk4LnBuZyIgPjxicj7op6PlvpfvvJp4PTHmiJZ4PTxpbWcgd2lkdGg9NSBoZWlnaHQ9NDIgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC9DQy9FMy9yQkFDRTFQc2dpTHgxRlBsQUFBQkdhajJzTlExOTYucG5nIj7vvIw8YnI+5b2TeD0x5pe277yMeT14LTI9LTHvvIw8YnI+5b2TeD08aW1nIHdpZHRoPTUgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvQ0MvRTMvckJBQ0UxUHNnaUx4MUZQbEFBQUJHYWoyc05RMTk2LnBuZyI+5pe277yMeT14LTI9LTxpbWcgd2lkdGg9NSBoZWlnaHQ9NDIgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC85NC83RC9yQkFDRkZQc2dpS1MtNXpUQUFBQkV6eUJLLXM0NTQucG5nIj7vvIw8YnI+4oi054K5QeeahOWdkOagh+S4uu+8iDxpbWcgd2lkdGg9NSBoZWlnaHQ9NDIgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC9DQy9FMy9yQkFDRTFQc2dpTHgxRlBsQUFBQkdhajJzTlExOTYucG5nIj7vvIwtPGltZyB3aWR0aD01IGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzk0LzdEL3JCQUNGRlBzZ2lLUy01elRBQUFCRXp5QkstczQ1NC5wbmciPu+8ie+8jOeCuULnmoTlnZDmoIfkuLrvvIgx77yMLTHvvInvvIw8YnI+4oi15oqb54mp57q/5a+556ew6L205pa556iL5Li677yaeD0tPGltZyB3aWR0aD0xNyBoZWlnaHQ9NDIgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC85NC83RS9yQkFDRkZQc2dpT3pXTzNsQUFBQmZ4UFNKS0U4NjMucG5nIj49PGltZyB3aWR0aD01IGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzk0LzdFL3JCQUNGRlBzZ2lQU2hBbkdBQUFCSGdZMjRWWTE0My5wbmciPjxicj7kvZzngrlB5YWz5LqO5oqb54mp57q/55qE5a+556ew6L20eD08aW1nIHdpZHRoPTUgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvOTQvN0UvckJBQ0ZGUHNnaVBTaEFuR0FBQUJIZ1kyNFZZMTQzLnBuZyI+55qE5a+556ew54K5QeKAsu+8jOS9nOeCuULlhbPkuo546L2055qE5a+556ew54K5QuKAsu+8jDxicj7ov57mjqVB4oCyQuKAsu+8jDxicj7liJnnm7Tnur9B4oCyQuKAsuS4juWvueensOi9tO+8iOebtOe6v3g9PGltZyB3aWR0aD01IGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzk0LzdFL3JCQUNGRlBzZ2lQU2hBbkdBQUFCSGdZMjRWWTE0My5wbmciPu+8ieeahOS6pOeCueaYr0XvvIzkuI546L2055qE5Lqk54K55pivRu+8jDxicj7iiLRCRj1C4oCyRu+8jEFFPUHigLJF77yMPGJyPuKItOeCuVDov5DliqjnmoTmnIDnn63mgLvot6/lvoTmmK9BRStFRitGQj1B4oCyRStFRitGQuKAsj1B4oCyQuKAsu+8jDxicj7lu7bplb9CQuKAsu+8jEFB4oCy55u45Lqk5LqOQ++8jDxicj7iiLRB4oCyQz08aW1nIHdpZHRoPTUgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvOTQvN0UvckJBQ0ZGUHNnaVBTaEFuR0FBQUJIZ1kyNFZZMTQzLnBuZyI+KzxpbWcgd2lkdGg9NSBoZWlnaHQ9NDIgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC85NC83RS9yQkFDRkZQc2dpUFNoQW5HQUFBQkhnWTI0VlkxNDMucG5nIj4r77yIMS08aW1nIHdpZHRoPTUgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvQ0MvRTMvckJBQ0UxUHNnaUx4MUZQbEFBQUJHYWoyc05RMTk2LnBuZyI+77yJPTHvvIxC4oCyQz0xKzxpbWcgd2lkdGg9NSBoZWlnaHQ9NDIgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC85NC83RC9yQkFDRkZQc2dpS1MtNXpUQUFBQkV6eUJLLXM0NTQucG5nIj49PGltZyB3aWR0aD01IGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzk0LzdFL3JCQUNGRlBzZ2lUd0IxX3VBQUFCR3lCYWJ4dzIzMC5wbmciPu+8jDxicj7iiLRB4oCyQuKAsj08aW1nIHdpZHRoPTg2IGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwL0NDL0UzL3JCQUNFMVBzZ2lUVE5IS1lBQUFDaUxRd1g4azc5Ni5wbmciPj08aW1nIHdpZHRoPTE3IGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwL0NDL0UzL3JCQUNFMVBzZ2lUU3BrdFFBQUFCYVA5WlZSRTk3OC5wbmciPi4gPGJyPuKItOeCuVDov5DliqjnmoTmgLvot6/lvoTnmoTplb/kuLo8aW1nIHdpZHRoPTE3IGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwL0NDL0UzL3JCQUNFMVBzZ2lUU3BrdFFBQUFCYVA5WlZSRTk3OC5wbmciPi4gPGJyPuaVhemAiUEuIA==
本课配套习题挑战模式5/5
单选题
难度系数：
5.在直角坐标平面内，以二次函数
的图像与x轴两交点间的线段长为边作正方形ABOD，如图所示，M是AD的中点，点E从点A出发，沿AB运动到点B停止，连接EM并延长交射线CD于点F，过M作EF的垂线交射线BC于点G，P是MG的中点，写出点P运动路线的长度正确的是（ ）. 
的图像与x轴两交点间的线段长为边作正方形ABOD，如图所示，M是AD的中点，点E从点A出发，沿AB运动到点B停止，连接EM并延长交射线CD于点F，过M作EF的垂线交射线BC于点G，P是MG的中点，写出点P运动路线的长度正确的是（ ）. | A: 1 |
| B: 2 |
| C: 3 |
| D: 4 |
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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
