1 . 射线OA的方程是
,射线OB的方程是
,长为
的动线段MN的端点M在OA上移动,端点N在OB上移动,则MN的中点
的轨迹方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585ce757983d44bcd0b30fbf8f865f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce02ede96656abd10ee2c8c6554c6fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ee82573986d4fa6a7ee1b5f397edae.png)
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2 . 在直角坐标系xOy上有两点
、
,给定三个条件:①
,②
,③
.请从上述三个条件中选出两个分别填在下列空白处(只填代号),使其构成一个真命题:当且仅当___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3539590ba3e226d4d6480f8460a6247d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f12e628b7b0bd5c387c4c46cef47c17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1f52965de7291b547f4c325d3626bd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dc261508f42e75323971f0b8282b0ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8e8c4db99a1f1ef1032002a070d65a0.png)
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3 . 已知正整数n满足条件:存在唯一的整数k,使
成立.这样的n的最大值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf338de7f21f662a32145d4516b77a54.png)
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4 . 从由正数组成的集合A中随机地选出一个数
的概率为
,则在下面给出的四个集合中:①
;②
;③
;④
.
能当成集合A的为______ (填上符合要求的所有序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b5d56dd753b6e01de12da6168e86cf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a96775b72021e81351f88745cd9abd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f2e24d0f06625ed7fb1ecbd5bcd2348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1980f8c04858721acfdbc8bd1e2368df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e47ef75dd4e477266b40de5136b14f89.png)
能当成集合A的为
您最近一年使用:0次
解题方法
5 . 如图的实验装置是由两块互相垂直的正方形木板构成的.已知两个正方形的边长都为
,在正方形
的对角线
上有一滑片
,在正方形
的对角线
上有一滑片
,无论两个滑片如何滑动,始终满足滑片
到点
的距离等于滑片
到点
的距离.则四面体
体积的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dde327febef2331a4766a79b433cc02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e25e3444b32197148084b75af530817c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/20/ea31664a-1973-491c-942b-4bf7e5328853.png?resizew=167)
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解题方法
6 . 在直二面角
内有两个半径为1而且相外切的球
和
,它们与面
以及面
也都相切,若另外一较小的球
与这两个球均相切,且与面
以及面
相切,则球
的半径为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754bbd99327195520a4ca3ce3b9a0577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
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解题方法
7 . 已知圆心在
轴正半轴上的一系列相外切的圆的圆心的坐标为
,且满足
,第
个圆的圆心横坐标为
,这
个圆的面积之比为
,记
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a19af21827ffd49c3842e1443244940e.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e684bbf8039dc14ea6a402f3478b3aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/702de74c38885954ec1fff041b0c2f03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3f933f2a8c0a6a2a2903a071c18c9db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a19af21827ffd49c3842e1443244940e.png)
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解题方法
8 . 直线与
轴交于点
,与
轴交于点
,且直线与椭圆
相切,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d7a6fd6d651ae341154c2e40928d628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03eb5be422dc9f0f01736b0f2b08a3a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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9 . 某公司规定,每位职工可以在每周的7天中任选2天作为休息日(如选择星期一和星期四),其余5天工作,以后不再改动,则甲、乙、丙三位职工恰好同时工作,同时休息的概率是______ .
您最近一年使用:0次
解题方法
10 . 有些计算机对表达式的运算处理过程实行“后缀表达式”:运算符号紧跟在运算对象的后面,按照从左到右的顺序运算,如表达式
,其运算为:
,
,若计算机进行运算:
,那么使此表达式有意义的
的范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7169060665d61a1e939709ff0e9c2705.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d454609ea7fc2c00055cf7af81273c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4cd9a7068de096606d1ab991f5e6da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee97bee487c4e8b56848b4eb98ee2c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次