配套习题- 数轴上的动点问题探究 -【青果学院】

挑战习题

1/5单选题

难度：

1.如图所示，圆的周长为4个单位长度，在圆的4等分点处标上数字0，1，2，3，先让圆周上数字0所对应的点与数轴上的数-2所对应的点重合，再让圆沿着数轴按顺时针方向滚动，那么数轴上的数-2010将与圆周上重合的数字是（）.

A	0
B	1
C	2
D	3

提示1：: IOagueaNruWchuWcqOaXi+i9rOeahOi/h+eoi+S4re+8jOWchuS4iueahOWbm+S4quaVsO+8jOavj+aXi+i9rOS4gOWRqOWNs+W+queOr+S4gOasoe+8jOWImeagueaNruinhOW+i+WNs+WPr+ino+etlC4=

正确答案：QQ==

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2/5单选题

难度：

2.如图，圆的周长为4个单位长. 数轴每个数字之间的距离为1个单位长，在圆的4等分点处分别标上0、1、2、3，先让圆周上表示数字0的点与数轴上表示-1的点重合，再将数轴按逆时针方向环绕在该圆上（如圆周上表示数字3的点与数轴上表示-2的点重合…），则数轴上表示-2014的点与圆周上重合的点所表示得数字是（）.

A	0
B	1
C	2
D	3

提示1：: IOeUseS6juWchueahOWRqOmVv+S4ujTkuKrljZXkvY3plb/luqbvvIzmiYDku6Xlj6rpnIDlhYjmsYLlh7rmraTlnIblnKjmlbDovbTkuIrnjq/nu5XnmoTot53nprvvvIzlho3nlKjov5nkuKrot53nprvpmaTku6U077yM5aaC5p6c5L2Z5pWw5YiG5Yir5pivMO+8jDHvvIwy77yMM++8jOWImeWIhuWIq+S4juWchuWRqOS4iuihqOekuuaVsOWtlzDvvIwz77yMMu+8jDHnmoTngrnph43lkIgu

正确答案：RA==

6Kej77ya4oi1LTEt77yILTIwMTTvvIk9MjAxM++8jDxicj7iiLQyMDEzw7c0PTUwM+KApjHvvIw8YnI+4oi05pWw6L205LiK6KGo56S65pWwLTIwMTLnmoTngrnkuI7lnIblkajkuIrooajnpLoz5pWw5a2X6YeN5ZCILiA8YnI+5pWF6YCJRC4g

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3/5单选题

难度：

3.一个机器人从数轴原点出发，沿数轴正方向，以每前进3步再后退2步的程序运动. 设该机器人每秒前进或后退1步，并且每步的距离为一个单位长度，x_n表示第n秒时机器人在数轴上位置所对应的数，则下列结论中错误的是（　　）

A	x₃=3
B	x₅=1
C	x₁₀₃＜x₁₀₄
D	x₂₀₁₃＞x₂₀₁₄

提示1：: 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

正确答案：Qw==

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4/5单选题

难度：

4.在数轴上，一只蚂蚁从原点出发，它第一次向右爬行了一个单位长度，第二次接着向左爬行了2个单位长度，第三次接着向右爬行了3个单位长度，第四次接着向左爬行了4个单位长度，如此进行了2013次，问蚂蚁最后在数轴上什么位置？（　　）

A	﹣1007
B	﹣1006
C	1006
D	1007

提示1：: IOS4gOWPquiaguiageS7juWOn+eCueWHuuWPke+8jOWug+esrOS4gOasoeWQkeWPs+eIrOihjOS6huS4gOS4quWNleS9jemVv+W6puWIsOi+vjHvvIznrKzkuozmrKHmjqXnnYDlkJHlt6bniKzooYzkuoYy5Liq5Y2V5L2N6ZW/5bqm5Yiw6L6+LTHvvIznrKzkuInmrKHmjqXnnYDlkJHlj7PniKzooYzkuoYz5Liq5Y2V5L2N6ZW/5bqm5Yiw6L6+Mu+8jOesrOWbm+asoeaOpeedgOWQkeW3pueIrOihjOS6hjTkuKrljZXkvY3plb/luqbliLDovr4tMu+8jOS+neatpOexu+aOqOW+l+WIsOS4gOiIrOaAp+inhOW+i++8jOWNs+WPr+W+l+WIsOe7k+aenC4=

正确答案：RA==

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5/5单选题

难度：

5.已知，如图，A、B分别为数轴上的两点，A点对应的数为-20，B点对应的数为100. 现有一只电子蚂蚁P从B点出发，以6单位/秒的速度向左运动，同时另一只电子蚂蚁Q恰好从A点出发，以4单位/秒的速度向右运动，设两只电子蚂蚁在数轴上的C点相遇，你知道C点对应的数是m；若当电子蚂蚁P从B点出发时，以6单位/秒的速度向左运动，同时另一只电子蚂蚁Q恰好从A点出发，以4单位/秒的速度也向左运动，设两只电子蚂蚁在数轴上的D点相遇，你知道D点对应的数是n，则m+n的值是（）.

A	-288
B	﹣232
C	288
D	232

提示1：: IOWFiOaxguWHukHjgIFC6Ze055qE6Led56a777yM5YaN5rGC5Ye655u46YGH5omA6ZyA55qE5pe26Ze077yM5YaN5rGC5Ye654K5Uei1sOeahOi3r+eoi++8jOagueaNruW3puWHj+WPs+WKoOeahOWOn+WIme+8jOWPr+axguWHui0yMOWQkeWPs+i/kOWKqOWIsOebuOmBh+WcsOeCueaJgOWvueW6lOeahOaVsO+8m+WGjeagueaNrui/veWPiumXrumimOWPr+axguWHulDov73kuIpR5omA6ZyA55qE5pe26Ze077yM54S25ZCO5Y+v5rGC5Ye6UeaJgOi1sOeahOi3r+eoi++8jOagueaNruW3puWHj+WPs+WKoOeahOWOn+WIme+8jOWPr+axguWHuueCuUTmiYDlr7nlupTnmoTmlbDvvIzov5vogIzlj6/ku6XmsYLlh7rnu5Porrou

正确答案：Qg==

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