1 . 如图,圆柱形容器内部盛有高度为8cm的水,若放入三个相同的球(球的半径为圆柱的底面半径相同)后,水恰好淹没最上面的球(如图所示),则每个球的表面积为______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ce13774b09ff2edddaf21a072cf60a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/2/b879e724-355a-418f-85b3-7816dd828b95.png?resizew=78)
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2 . 过点
的直线
与抛物线
交于不同两点A、B.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e5e815fc2bbf03d424b52fa920dd0e.png)
______ .(O为坐标原点)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a948d2f7732d7f03e986c63712089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e8953ded144195804384dcb494d5e2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e5e815fc2bbf03d424b52fa920dd0e.png)
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3 . 离心率
的双曲线与椭圆
有公共焦点,则该双曲线实轴长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf225b4a29dc973d00c0d0dd76b45288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/608d1a8669aa2426e12751dec3e96da6.png)
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4 . 在正方体
中,
平面
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f904c1eed0804b9347c206ea167f1aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1507d849b729c520eaaf16657368e30b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22efcc118ef52069c1485670ccd26687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
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5 . 若曲线
的一条切线为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5db192285632d1991b4ee7a003a52205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/292c3b844f1c01b6431efbc84e50c6cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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6 . 已知点
,点
满足
,则
的最大值为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e7cae11a964c432f166fb4a6fd868f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d259822ab64b8626f3893b8432673358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11c4a83b625a062f87bae52d18398182.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea85aa568ae792920e2b6685567cef91.png)
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2023-12-18更新
|
183次组卷
|
3卷引用:四川省自贡市2024届高三一模数学(文)试题
7 . 函数
,将
的图象上所有点的横坐标缩短到原来的
(纵坐标不变)得到函数
的图象,若
在
上恰有1个极值点,则
的最小整数值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f077a65ccc905b7baf8b65de3b3d3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149209d1782f1846b8cf6ec01aea0678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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8 . 若已知函数
在
上单调递减,则实数a的取值范围为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8191c43108de8fc741a6eaf18255eba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a19bbab2270fc8e694527e801556cf.png)
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9 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a45c7469ea608a87403daa6f51af1fc1.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e84f7010c29e89de4e36b5c69f684e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a45c7469ea608a87403daa6f51af1fc1.png)
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10 . 函数
的定义域为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de7cbcf51a9db61ac1549cd9706df32.png)
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