名校
1 . 已知
,若
与
夹角为锐角,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065f7b523efdd46d8a06dac287fb6ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2 . 若向量
与
的夹角为锐角,则实数
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57706d1dc00fd5143243dc874a07eb5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/006c12826e4f7df7f4993057d88b91e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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名校
3 . 已知方程
的一个根是
(
是虚数单位),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ce35bc1ff8d66689fced2348fcd1c87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e466ba3748587c30f46d2f516589e388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
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真题
4 . 某校举办科学竞技比赛,有
3种题库,
题库有5000道题,
题库有4000道题,
题库有3000道题.小申已完成所有题,他
题库的正确率是0.92,
题库的正确率是0.86,
题库的正确率是0.72.现他从所有的题中随机选一题,正确率是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.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/c5db41a1f31d6baee7c69990811edb9f.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/c5db41a1f31d6baee7c69990811edb9f.png)
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真题
解题方法
5 . 在
的二项展开式中,若各项系数和为32,则
项的系数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b10e6c97137377c84146e48066a967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
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真题
解题方法
6 . 已知抛物线
上有一点
到准线的距离为9,那么点
到
轴的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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23-24高一下·上海·期末
7 . “
,
”是“
”成立的 __ 条件.(选填“充分不必要”、“必要不充分”、“充要”、“既不充分又不必要” )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f231478aae94ebd6f1febcc8f08803.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232d1ce3ad14256b1543e6007ff1675d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddb2170fbf89630f3f3ece1dab5de743.png)
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名校
8 . 某酒杯上半部分的形状为倒立的圆锥,杯深
,上口宽
,若以
的匀速往杯中注水,当时间为
时,酒杯中水升高的瞬时变化率是______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b1fe1b971b780e443a9b13621611c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd6f4250ca6b1b9bce234a01f00d44d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b5b538e847547bbb9e29ecc89800193.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b7a662db44251ff09d2bc4cd5574bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d1461f3b7f2a8a65097c8de1dcbfc7.png)
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名校
9 . 已知复数z满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fa4e27fd0278b5ea9bea87b9061abcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
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名校
10 . 半径为3,圆心角等于
的扇形的面积是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c48e8b4a3e2ef13de1ad88f8ed2b4ee.png)
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