名校
1 . 设点
,抛物线
上的点
到
轴的距离为
,若
的最小值为4,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4eea0c005a2c751eae7435686b588da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84edb5a4080b154bf8393308401e97f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
A.6 | B.10 | C.12 | D.16 |
您最近一年使用:0次
解题方法
2 . 设函数
,当
时,
的单调递增区间为______ ,若
且
,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a516dbe37e9b58010963628228e25cb.png)
成立,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22409b985d225aa87379d3593d91761a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8645952ea14b25443f411d39bdec641e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a516dbe37e9b58010963628228e25cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced2138fc3b54751cc1043fe5bc74403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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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 . 已知
,
分别是双曲线C:
(
)的左、右焦点,过
作一直线交C于M,N两点,若
,且
的周长为1.则C的焦距为___________ .
![](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/99b343054b22bb3d30eeec12c3ae4d0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85f0ec66ed29f6a7d502a9da85ab2760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/656690e5d6fe1b44a4983086229f34ae.png)
您最近一年使用:0次
名校
5 . 已知点
满足
,则点
的轨迹为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385288babdd85a5e1f2fc092943e899a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.椭圆 | B.双曲线 | C.抛物线 | D.圆 |
您最近一年使用:0次
2024-02-05更新
|
595次组卷
|
3卷引用:重庆市巴蜀中学校2023-2024学年高二上学期期末考试数学试题
重庆市巴蜀中学校2023-2024学年高二上学期期末考试数学试题重庆市渝中区巴蜀中学校2023-2024学年高二上学期期末数学试题(已下线)3.3.1 抛物线及其标准方程【第二练】“上好三节课,做好三套题“高中数学素养晋级之路
解题方法
6 . 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)
您最近一年使用:0次
解题方法
7 . 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
8 . 如图,某池塘里浮萍的面积
(单位:
)与时间
(单位:月)的关系为
(
,且
).下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/5/6e377c22-6781-43c1-a927-a8914e1c7fb3.png?resizew=141)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c901bcdfa58f0c68ad0161b0bab269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce9ca351e705882fed69c1f1b41e8876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/5/6e377c22-6781-43c1-a927-a8914e1c7fb3.png?resizew=141)
A.浮萍每月的增长率为2 |
B.第6个月时,浮萍面积为![]() |
C.浮萍每月增加的面积都相等 |
D.若浮萍蔓延到![]() ![]() ![]() |
您最近一年使用:0次
9 . 已知全集
,能表示集合
,
,关系的
图是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860ebb6f76cd3cb9a265dfc233002a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d199f2b555894612177ea26ad1dd6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/387765e17f6bc43e67147078f971f681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c0b832513c0006d9f299eb78360fa90.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
10 . 已知双曲线
的左、右焦点分别为
,过
作直线
交双曲线右支于
两点,当直线
与
轴垂直时,
.过
作直线
分别交双曲线两支于
两点,且
的最小值为
.
(1)求双曲线
的方程;
(2)设线段
的中点分别为
,记
的面积为
,
的面积为
(
为双曲线的中心),若直线
的斜率分别为
且
,求证:
为定值,并求出这个定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c559671a60d864715ed73729020f0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316699c45f1c088945d0cd3bb46eecfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b10e8abf8690e4b129466ddb918bcc94.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c4cd264c97c1f261229925cc5a6761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ea1c3fe8431260ecb8dffcdae8d570.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0276c0122da9760aaa627ac83465e36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235f0a6fb218d28383e6f27f2df1f50f.png)
您最近一年使用:0次