1 . 已知函数
.
(1)求
的最小正周期;
(2)讨论
在
上的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cc0afde68848a8c508051fd5f301e5e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb8a6bc34a61595f56e2c5fc594d0475.png)
您最近一年使用:0次
2 . 已知三棱柱
,D,E,F分别是棱AB,BC,CA的中点,记三棱柱
的体积为V,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
A.棱锥![]() ![]() | B.棱锥![]() ![]() |
C.多面体![]() ![]() | D.多面体![]() ![]() |
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3 . 如图,四棱锥
中,底面
为平行四边形,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/6/4e336a35-c3ea-4dd7-9c44-43d51d791452.png?resizew=153)
(1)证明:
;
(2)若
,
,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ea52361458ce2e49ed0fe99d8e6c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0ce06dbe9e1177468781ba4aff85ffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62974d34de3a12418d6b700420afd1b2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/6/4e336a35-c3ea-4dd7-9c44-43d51d791452.png?resizew=153)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0063f3f48e49f2970ec7f097567cef5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/491c3a4f72b84ebadd28b90711435adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1b638760d907efe836500581da1596.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b33b7213d99a817bff19bcf740a0697c.png)
您最近一年使用:0次
解题方法
4 . 如图,在直三棱柱
中,已知
,D为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/5/70009b7e-e3d6-47af-9655-a87c58e2cea2.png?resizew=163)
(1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
平面
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf3890578e602df1580b719b0cd4ab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/5/70009b7e-e3d6-47af-9655-a87c58e2cea2.png?resizew=163)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74bca84ad86c648d3bb20c8909c8da3f.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab2deab5e8b990bb6eb99af2d789c9a.png)
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解题方法
5 . 已知以原点O为中心的椭圆标准方程
的离心率为
,焦点F为
.
(1)求椭圆的标准方程;
(2)若过焦点F且倾斜角为
的直线与此椭圆相交于A、B两点,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee14db57f0c762aad845cf5b4a243c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6554ac3dff4a59833e407db887f6e6.png)
(1)求椭圆的标准方程;
(2)若过焦点F且倾斜角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
您最近一年使用:0次
解题方法
6 . 已知直线
(其中a,b是正实数)过点(1,1),则
的最小值是_____ ..
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655305159cb69c5c4f011611b585a58a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57f879f6e8df7d5fb261328806260b3.png)
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解题方法
7 . 在△ABC中,内角A,B,C的对边分别为a,b,c,已知△ABC的面积
.
(1)求
;
(2)若
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5ad9a1014f7e16d43bd1abcca96086.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a24a8f5e8fb89381f8add6549170345.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5092e3413b5da6127c6d5b044b606a7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dfa04ed69eb5e36931c076e0cf3f01e.png)
您最近一年使用:0次
解题方法
8 . 记数列
的前n项和为
,若
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b628d460a40882dac2c5cf77446935.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c01dc2d47cd335a281d04bdeb751529.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
您最近一年使用:0次
9 . 记
为等差数列
的前
项和,已知
.
(1)求
的通项公式;
(2)若数列
满足
,
,求数列
的前10项和.
![](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/0c5952ee2dd11e3801cd4275a684b392.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773698999bfd0a6c2d8598551af12e1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
您最近一年使用:0次
名校
10 . 将一副三角板排接成平而四边形ABCD(如图),
,将其沿BD折起,使得而ABD⊥面BCD.若三棱锥A-BCD的顶点都在球O的球面上,则球O的表面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-01-19更新
|
678次组卷
|
6卷引用:重庆市2024届普通高等学校招生全国统一考试高三第一次联合诊断检测数学试题
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