名校
解题方法
1 . 若
,
,则满足
的m的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc61978d8d38ad08782a06acd581dcb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f8df397df7f22e669671149ee1ffad7.png)
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名校
2 . 为了研究问题方便,有时候余弦公式会写成:
,利用这个结构解决如下问题:如果三个正实数
满足:
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0ba07a669b1f519431dd0a73709f990.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df9c969e4a64a7449d7cbc088d39aab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fe8faae6f6dc2fffadb444938f07501.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60783331e0edf54727c2eebd493079d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfcc985662f674639c539dc7696c6c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0ba07a669b1f519431dd0a73709f990.png)
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解题方法
3 . i为虚数单位,若复数
和复数
满足
,则
的最大值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/749307097f04f834dd3b33276fd66cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dff9388eee5c812d183b254d13f461b.png)
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4 . 若复数
,
满足
.且
(i为虚数单位),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41813be61104fce7a33368d0a4429651.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db439eae71afd7b462a07c61d3861330.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b004c02ad0d4d487eb7623f92d306660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41813be61104fce7a33368d0a4429651.png)
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5 . 已知关于
的方程
有四个互不相等的根,若这四个根在复平面上对应的点共圆,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34d26154aeb0a3a04910123aec2919a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 已知双曲线
经过点
,其一条渐近线方程为
,则双曲线
的标准方程为______ ,离心率![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aedad6bb70631b944c69f8f0b02b35d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
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解题方法
7 . 若直线
是曲线
的一条对称轴,则
的最小值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307dc5245375b34a69ec10f82af13768.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/705d6d0a046281db9a588d76b4fc2199.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f7266b2ef457b8ddeee3fa2cc24022e.png)
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8 . 在棱长为1的正方体
中,若点P是棱上一点,则满足
的点P的个数为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6eda9f298400a2f3beb01e935238ea.png)
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解题方法
9 . 若函数
在区间
上是严格单调函数,则实数
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aed2e979fbe5ccb29a91f649ee0fe12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f7640aeb7d6ce68904979bd2ce2887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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10 . 盲盒是指消费者不能提前得知具体产品款式的商品盒面.已知某盲盒产品共有4种玩偶,小明购买5个盲盒,则他能集齐4种玩偶的概率是_____ .
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