1 . 已知关于
的方程
.
(1)若方程无实根,求
的取值范围;
(2)若方程有唯一实根,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/443d6b234417eba09725ea3bbf423646.png)
(1)若方程无实根,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若方程有唯一实根,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2007高三·辽宁·竞赛
2 . 在
中,
、
满足
.则
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16bc39b41ebe73da672eac1bac586af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1d6201ae8b341fe7c2e578429dddcb.png)
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3 . 方程
在
上解的个数为________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e840662c669324e7682b33c77c3adb2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
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2007高三·辽宁·竞赛
4 . 已知集合
,
,
,且
.若
,
,则
=_____________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97927627b6890964c516f02dc34ed2f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6dbbbb35dfdfd2b02135a7a65f577bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1cd9ef280b96a98d9f22ba9f322693b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b2aa55ac84e40b56f93fdbabfc6d58e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e8afff7a917e4a597c144198763cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c6ca098b764e0366d043b69ae9d8f68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
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2007高三·辽宁·竞赛
5 .
、
两队进行乒乓球团体对抗赛,每队各有3名队员,每名队员出场一次,共赛三场,每场比赛胜者得1分,负者得0分.
队和
队的3名队员分别是
和
,且
对
的胜率为
.则
队得分期望的最大可能值是____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/114289f2cb4b20dc32f726fbf8e5d72d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4f7ab9cfc14e1830930ace94707124e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e819b87f90651d89fcd258c276294e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51a2d8cb9e08ce79015879ea2744e351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24802e28d0db8673920c0122800af276.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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2007高三·辽宁·竞赛
6 . 底面半径为2、高为42的封闭的圆柱形容器中最多能放入半径为1的球的个数为.
A.54 | B.56 | C.58 | D.60 |
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2007高三·辽宁·竞赛
7 . 一只青蛙在正六边形
的点
处,每次向相邻顶点跳跃,到达点
或跳满5次则停止.那么不同的跳跃方式有( )种.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
A.26 | B.28 | C.30 | D.32 |
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2007高三·辽宁·竞赛
名校
8 . 在锐角
中,
,
,则
的取值范围是.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a4d634d3d678a1912a827fade6a0d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 将正整数从小到大依次插入数列
中,且
与
之间的正整数的个数恰好为
,得到数列 0,1,-1,2,3,-2,4,5,6,-3,7,8,9,10,-4,….则2007是此数列的第项.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ea336e75f9de04d9f311bfaa97cd31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2ac2aab408e0a6a916c348e00a8ea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5fb780c3adb9a1c85d09084dbdd3861.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0876215b2fd463d151523cd3c6b447.png)
A.2069 | B.2070 | C.2071 | D.2072 |
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