1 . 已知过点
的直线与椭圆
交于
两点,则弦长
可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f642cc82f9cb94f68265b4ec78f8c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
A.1 | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 等比数列
的各项均为正数,其前
项和为
,已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb7147e313f9d9f67d19ecb5f499c05.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfb975000543f6c9c8423a7523fb8d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb7147e313f9d9f67d19ecb5f499c05.png)
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3 . 下面四个结论正确的是( )
A.空间向量![]() ![]() ![]() ![]() |
B.若对空间中任意一点![]() ![]() ![]() |
C.已知![]() ![]() ![]() |
D.任意向量![]() ![]() |
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4 . 南宋数学家在《详解九章算法》和《算法通变本末》中讨论了一些高阶等差数列的求和方法,高阶等差数列中后一项与前一项之差并不相等,但是后一项与前一项之差或者高阶差成等差数列,如数列
,后一项与前一项之差得到新数列
,新数列
为等差数列,这样的数列称为二阶等差数列.对这类高阶等差数列的研究,一般称为“垛积术”.现有一个高阶等差数列,其前5项分别为
,则该数列的第10项为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b99167b0747a5b4c234aecaafdee63b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2afdbcee1468b98067081ae6df7fc52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669236b1d77d03a254120f2f323b2b9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f2017dd531f64a1090d2b38398c00a0.png)
A.96 | B.142 | C.202 | D.278 |
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解题方法
5 . 经过两条直线
的交点,且直线的一个方向向量
的直线方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83cb065a19479809ab03e1ed2786980.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca47f73e02bafd6473ced664c0eee76a.png)
您最近一年使用:0次
2024-01-04更新
|
522次组卷
|
3卷引用:吉林省白山市2023-2024学年高二上学期1月期末教学质量监测数学试题
名校
解题方法
6 . 已知圆
与圆
相交于
两点,则
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79382ba44ba669b5d43fdd5427adf16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11583d5a9d06b238a94e3f24c8aa41b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-04更新
|
731次组卷
|
5卷引用:吉林省白山市2023-2024学年高二上学期1月期末教学质量监测数学试题
吉林省白山市2023-2024学年高二上学期1月期末教学质量监测数学试题山东省滨州市滨州实验中学2023-2024学年高二上学期期末模拟数学试题河北省石家庄市第二中学2023-2024学年高二上学期期末模拟一数学试题河北省石家庄市第二中学2023-2024学年高二上学期期末模拟二数学试题(已下线)2.5.2 圆与圆的位置关系【第二练】“上好三节课,做好三套题“高中数学素养晋级之路
名校
解题方法
7 . 已知双曲线
的左焦点为
,过
的直线与
的左支相交于
两点,
为坐标原点,且
,则
的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f961636266dc0043b6d255bf638b260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08dbb4da3342fe94f0469528f065155a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2024-01-04更新
|
1129次组卷
|
4卷引用:吉林省白山市2023-2024学年高二上学期1月期末教学质量监测数学试题
吉林省白山市2023-2024学年高二上学期1月期末教学质量监测数学试题广东省珠海市第一中学2024届高三上学期大湾区期末数学预测卷(四)(已下线)高二数学第一学期期期末押题密卷05卷(已下线)【一题多解】巧求离心率 坐标与几何
解题方法
8 . 已知数列
的前
项和
,点
在曲线
上.
(1)证明:数列
为等差数列;
(2)若数列
满足
,求数列
的前99项和
.
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41f32693d25ece7f8e22c34a183537f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ae14ff093edcf5cac1227594fc8f7b.png)
(1)证明:数列
![](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/f4f144adab629ceed16e630faf25e94c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02afb88e9f75094ff7a7918f0751dc14.png)
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9 . 在空间直角坐标系
中,点
,点
关于
轴对称的点为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e336d6ca2cae3d6e6c3810d7e521a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a04a289e8602f3a26ee199e64dd6c8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866aa11c73d426cc2efef37aebb39f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a70fd837c70b944a66450bbcf6946bc.png)
A.![]() | B.![]() | C.![]() | D.2 |
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解题方法
10 . 已知椭圆
经过圆
的圆心,
的右焦点
与圆
上的点的距离的最大值为3.
(1)求椭圆
的方程;
(2)若直线
与
相交于
均异于点
,点
均在直线
上,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a046d7060dc843c78af806ee24f556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47cdd060b6270d1e8b91884b3bdb23ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd15b24ad5d068e3008290c75510a96a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae7acb8d3fbf1a49794696f1adebb919.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b4324dacfc94867f192cefc9e589fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca51d433190304dd9811b0a1f7b4beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9355031ea0b2dc9cef3777621bc6d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a046d7060dc843c78af806ee24f556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47cdd060b6270d1e8b91884b3bdb23ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb5d2f6fa9cdd2395b9eae2e9fe72e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
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