1 . 已知点
在抛物线
:
(
)上,
为
的焦点,直线
与
的准线相交于点
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/706e0350fd1c36a4e3c66868a8218a7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907d5147cea4c9ce855074864fe54506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6134e449feaaf1f322e98509eab12c2f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 .
的内角
,
,
的对边分别为
,
,
,已知
,且
的面积为
.
(1)求
的值;
(2)若
是
边的中点,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6735e1e097882f3577bc52117ba3b6a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b27567d43c5b91382ee3d7ca708ee422.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a24a8f5e8fb89381f8add6549170345.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe7a93172d308a58200e3c722fe1072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
您最近一年使用:0次
2024-05-04更新
|
1139次组卷
|
2卷引用:四川省泸州市2024届高三第三次教学质量诊断性考试数学(文科)试题
3 . 设函数
,
.
(1)求函数
的单调区间;
(2)若总存在两条直线和曲线
与
都相切,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b21c310a00732a9eda5489e225bd9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aa761dc81ad0c9ae739ef627867bd0c.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47661347486366d63f8b2f7225651a5a.png)
(2)若总存在两条直线和曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
4 . 随着全国新能源汽车推广力度的加大,新能源汽车消费迎来了前所未有的新机遇.某公司生产了A、
两种不同型号的新能源汽车,为了解大众对生产的新能源汽车的接受程度,公司在某地区采用随机抽样的方式进行调查,对A、
两种不同型号的新能源汽车进行综合评估(得分越高接受程度就越高),综合得分按照
,
,
,
分组,绘制成评估综合得分的频率分布直方图(如图):
两种不同型号的新能源汽车哪种型号更受大众喜欢;
(2)为进一步了解该地区新能源汽车销售情况,某机构根据统计数据,用最小二乘法得到该地区新能源汽车销量
(单位:万台)关于年份
的线性回归方程为
,且销量
的方差
,年份
的方差为
,求
与
的相关系数
,并据此判断该地区新能源汽车销量
与年份
的相关性强弱.
参考公式:(ⅰ)线性回归方罡:
,其中
,
;
(ⅱ)相关系数
(若
,则相关性较弱:若
,则相关性较强;若
,则相关性很强).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5641c24ea477f7bea0bc891fbd12043e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4204a934372022fa08a7e739ab46a96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ae73f47ca255acadad589b10cafcc65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/079898350667d1a0cff92efd00b6a629.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)为进一步了解该地区新能源汽车销售情况,某机构根据统计数据,用最小二乘法得到该地区新能源汽车销量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1873c836bb418610d06636aaff696313.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f40fd619cb143ccc7d8928c900a21a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35d92f955a2da713e65311c97ae5b0db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
参考公式:(ⅰ)线性回归方罡:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa6528690a49d3c43d85f57c7f1d132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98a9f496f601ea8af7afbdf0562cacb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8112f4d3ab5f8ec8405fe32fd181ce32.png)
(ⅱ)相关系数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d64e8118e14f7c6221cc75844eb6e2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27263a712520fe97b6c00bf860c8b626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0aea84afa39275e9dc168d9813abf14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead7ab2489551cd4ef1a008740d45dec.png)
您最近一年使用:0次
解题方法
5 . 已知
是数列
的前
项和,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27dfada3985c63d916311ecc4bd9da8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
您最近一年使用:0次
解题方法
6 . 从3,4,5,6,7这5个数中任取两个数,则所取两个数之积能被3整除的概率是( )
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
7 . 已知正方体
的棱长为2,P为
的中点,过A,B,P三点作平面
,则该正方体的外接球被平面
截得的截面圆的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-22更新
|
1235次组卷
|
9卷引用:四川省泸州市2024届高三第三次教学质量诊断性考试(理科)数学试题
四川省泸州市2024届高三第三次教学质量诊断性考试(理科)数学试题(已下线)6.1 空间几何体及其表面积和体积(高考真题素材之十年高考)河南省信阳市新县高级中学2024届高三4月适应性考试数学试题四川省遂宁市射洪中学校2024届高三下学期二模考试数学(理)试卷(已下线)专题7 立体几何综合问题【讲】江西省部分学校2024届高三下学期5月月考数学试题(已下线)专题05 立体几何初步客观题热点题型(2) -期末真题分类汇编(江苏专用)山东省德州市夏津育中万隆中英文高级中学2023-2024学年高一下学期5月月考数学试题河南省安阳市第一中学2023-2024学年高一下学期第二次阶段考试数学试题
名校
解题方法
8 . 已知
,
,给出下列不等式
①
;②
;③
;④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a0bb5f1fcfe43c42f90847ea375f0e5.png)
其中一定成立的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2632ec84ab74a2375a0a8f3bd8f92cc7.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8274957c1cf4ca270a124e17ea547a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/100fa43c37aef2e91f5e76e78beeb915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09935031283ec95a10cedf496d769529.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a0bb5f1fcfe43c42f90847ea375f0e5.png)
其中一定成立的个数为( )
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2024-04-22更新
|
586次组卷
|
3卷引用:四川省泸州市2024届高三第三次教学质量诊断性考试(理科)数学试题
名校
9 . 已知复数
满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8954d9deacb158d6efc89935d03e6663.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca6c17df8a51bb6492426fddcfb622.png)
A.![]() | B.3 | C.![]() | D.5 |
您最近一年使用:0次
2024-04-22更新
|
625次组卷
|
3卷引用:四川省泸州市2024届高三第三次教学质量诊断性考试(理科)数学试题
解题方法
10 . 已知圆锥的体积为
,其侧面展开图为一个半圆,则该圆锥的内切球的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e0166cef87d437ba03524bbdb61288.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次