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1 . 下列物体,能够被整体放入长、宽、高分别为2,1,1(单位:m)的长方体容器(容器壁厚度忽略不计)内的有( )
A.半径为0.6m的球体 |
B.一组相对棱为1.4m,其余棱都为2m的四面体 |
C.底面半径为0.005m,高为2.5m的圆柱体 |
D.底面半径为0.6m,高为0.005m的圆柱体 |
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2 . 已知向量
,
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bec2982c3f132286ec9801539c45c5e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6700c13f6c32d1b8a5abf5841300beaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e240475f8f40d0a49b06aa2e0329766.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-05-08更新
|
738次组卷
|
3卷引用:江西省贵溪市实验中学2024届高三下学期高考仿真模拟(一)(3月)数学试卷
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3 . 已知双曲线
:
的左、右焦点分别为
、
点A在C上,点B在y轴上,
,
,则C的离心率为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96ba171b1594225d813f1d9498808fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bb217085b3ea698fa15ccd1674d5b53.png)
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4 . 在
中,
,
,
.
(1)求
;
(2)若点
在边
上,且
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b5283727fa4e1afca0e5c65469c2d8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e1f4f255d191786f7d330d278868c2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f656e1d1f68954e5f06de8958f6a9310.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b01adc561735ff5be9bb97266918f2.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ab5c45a72849d2cae1d65b282b5bd19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
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5 . 已知
是定义在
上连续的奇函数,其导函数为
,
,当
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abed2794af8c613280eeac2021ea3a0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd7d2bb9fd6de312a742ef10c81b9b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6793a7dfda2de561a5c1ffc162d12971.png)
A.![]() | B.![]() ![]() |
C.4为![]() | D.![]() ![]() |
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2024-04-24更新
|
758次组卷
|
2卷引用:江西省贵溪市实验中学2024届高三下学期高考仿真模拟(一)(3月)数学试卷
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6 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0021ae2750627635db3a193e17a5134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a562e452710da5e843068f5b589fbb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1336d38741aab2255a35c26612bbd7cc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知向量
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/989672d1ad9fd652a58d5166cf3ae6c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.4 | B.3 | C.1 | D.2 |
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8 . 已知函数
在点
(位于第四象限)处的切线
与
轴正半轴,
轴负半轴分别交于B、C点,当直线
、曲线
轴及
轴所围成图形的面积取最小值时,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f76cb639dc4ce8ed42b2c87cf93555b.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b9dfb8f9b9d2a33ff4ae918cc2baf8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a8307aac66792506cbc6edac84a086.png)
A.1 | B.![]() | C.2 | D.3 |
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9 . 已知
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0719844e0261af3b625d9673e5926.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1290917c2c835b61384480b335cc1d13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1aaee2a13c6b1fd7419eed392f7766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0719844e0261af3b625d9673e5926.png)
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10 . 已知顺次连接
的三角形与圆
总有公共点.则圆半径的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048147195fe75bebc3cab7160463b838.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8805de7a92c61dca34ef15a8a9355e7.png)
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