1 . 已知点
在曲线
上,点
在曲线
上.则
的最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f2eff609c6043c2a89a6dd163fe2244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be206d66e65eb92ef08bad8cd8f71d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
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2 . 不等式
的解集为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/430f2ae1c1b9819f02dc1d1c3aa8bfd8.png)
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3 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2816862586c89f341fa51f5abcef0b51.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2816862586c89f341fa51f5abcef0b51.png)
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4 . 设函数
(
).则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a8f0d65b935f157929ebd1a94a96733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc950c9a303865d535fa7883bad432b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
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2012高三·辽宁·竞赛
5 . 设
.则
在复平面内所对应区域的面积是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a02dda9d5cfb4ec1aa439e3e1b522b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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2012高三·辽宁·竞赛
6 . 设
.则当
,且使得二次方程
的一个根大于1、一个根小于1的概率是.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab84d1d394dc598dc20cdeba7c05a0de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1b3a17e6911ad2edbde2e643324ac97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1af66962e273c0dc564c2515960d2ff5.png)
A.![]() | B.![]() | C.![]() | D.1 |
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2012高三·辽宁·竞赛
7 . 在
中,设
.则等式
成立的充分必要条件是.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4271a19585d493bfc87f437e69fcf623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b4cb293a0cc1310439313745ce78e27.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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12-13高二下·浙江宁波·期中
名校
解题方法
8 . 设双曲线
(
的右焦点为
,过
作与
轴垂直的直线
与两条渐近线交于
两点,
是
与双曲线的一个交点.设
为坐标原点.若有实数
、
,使得
,且
,则该双曲线的离心率为.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/936c7fedc178f0349dc249c19c34a347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a588956ec73e41c383fe184ba414bc6e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2018-12-14更新
|
347次组卷
|
8卷引用:2012年全国高中数学联赛辽宁赛区预赛试题
(已下线)2012年全国高中数学联赛辽宁赛区预赛试题(已下线)2012-2013学年浙江宁波万里国际学校高二下学期期中考试文数学试卷(已下线)2014届吉林省白山市高三摸底考试理科数学试卷2014-2015学年江西吉安一中高二下学期期中理科数学试卷2015-2016学年湖南衡阳八中高二上第二次月考文科数学卷2016届贵州市兴义市八中高三第七次月考文科数学试卷陕西省西安市长安区第一中学2019-2020学年高二下学期第一次质量检测数学(理)试题广东省揭阳市惠来县第一中学2023届高三最后一模(临门一脚)数学试题
9 .
是定义在
上的函数,对任意
,有
.记
(
).则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d5bd4618f5342881d8e8aa72eefa190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599841a92584c9762f3b147e7c68549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a9c4d1ac7ebd56bd164748bb412414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28652e52c0b02a343e618935ea625cbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39adc182e2eb90f156e02488eb8512ce.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2012高三·辽宁·竞赛
10 . 设
,其中,
.则所有
的交集为.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d8bcbe55f6ca02c476d8c134253e9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe64cfceabcc6d4e6853b1ec17b32359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/401dce4c3758b34de48ee3a2029e04a0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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