解题方法
1 . 设双曲线
的离心率为
,则当
取最小值时,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f604e33709c58dd90a03b232e3fc31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8f7dc14832c366c9b0cc081559ffd38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
A.![]() | B.2 | C.![]() | D.3 |
您最近一年使用:0次
2 . 在直角坐标系
中,已知
,
,
,以
为直径的圆经过点
,记点
.
(1)求
点的轨迹方程
;
(2)给出如下定理:在一般情况下,若二次曲线的方程为:
(
,
,
不全为0),则经过该曲线上一点
的切线方程为:
.若过
(
)作(1)问曲线
的两条切线,切点分别为
,
,切线
,
分别交
轴于
,
两点,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a525534689bd2701205d4ab17574c39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/858edb9a2fe9bab726479ec89a0f72c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a71b0db6cc0131e0e40f2ba38019458.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d259822ab64b8626f3893b8432673358.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)给出如下定理:在一般情况下,若二次曲线的方程为:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7885f39a8de2b188187691b3b316b5d9.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/abea45df5edd7146a27d51a9f3df13f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/947b751ba4fc819c4e3cdafe5aeff6d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ecde0d15b8ed3fb86737418e1376b47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a316a2b1f46d69ed4257e37f2d97cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41dd63924d64373f26d2515cb18f0b11.png)
您最近一年使用:0次
解题方法
3 . 已知直线
.
(1)求证:直线
经过一个定点;
(2)若直线
交
轴的正半轴于点
,交
轴的正半轴于点
,
为坐标原点,设
的面积为
,求
的最小值及此时直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f87e79a9818ecf0a79e822ce2cb842.png)
(1)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若直线
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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名校
解题方法
4 . 已知直线
的方程为
.
(1)证明:不论
为何值,直线
过定点
.
(2)过(1)中点
,且与直线
垂直的直线与两坐标轴的正半轴所围成的三角形的面积最小时,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7035e9b48c99153a786aebce3257dd45.png)
(1)证明:不论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)过(1)中点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2024-01-17更新
|
594次组卷
|
4卷引用:四川省宜宾市叙州区第一中学校2023-2024学年高二上学期期末数学试题
名校
解题方法
5 . 已知抛物线
,直线
与抛物线交于
两点,与圆
交于
两点
在第一象限
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d55d971b32a5fccca211efac5fa161f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a8d6991873e79b298984a95b8954b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65436512ecbaefba4ac8123c55094211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4b587baa863a7feff0a103f912cedb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/476b4a56e64f1d0521aed28001607b91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58ed7bdf2cc82271e3c7a04c96227d3c.png)
您最近一年使用:0次
2023-12-24更新
|
452次组卷
|
4卷引用:四川省宜宾市兴文第二中学校2023-2024学年高二上学期期末数学试题
名校
解题方法
6 . 过抛物线
的焦点
作直线交抛物线于
,
两点,
为线段
的中点,过点
作抛物线的切线
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
A.![]() ![]() |
B.当![]() ![]() |
C.以线段![]() ![]() |
D.当![]() ![]() ![]() |
您最近一年使用:0次
2023-12-22更新
|
1669次组卷
|
11卷引用:四川省自贡市2023-2024学年高二上学期期末数学试题
四川省自贡市2023-2024学年高二上学期期末数学试题四川省绵阳市南山中学2023-2024学年高二上学期12月月考数学试题广西平果市铝城中学2023-2024学年高二上学期期末预测数学试题(已下线)辽宁省沈阳市2023-2024学年高二上学期期末统考数学试题山东省菏泽市定陶区第一中学2023-2024学年高二上学期期末模拟数学试题山东省泰安市新泰中学2023-2024学年高二上学期第三次阶段性考试数学试题江西省宜春市宜丰县宜丰中学2023-2024学年高二上学期1月月考数学试题湖北省恩施土家族苗族自治州高级中学2023-2024学年高二上学期能力提升考试数学试题江西省新余市第一中学2023-2024学年高二下学期开学考试数学试卷广东省深圳市深圳外国语学校2024届高三上学期第二次模拟测试数学试题(已下线)广东省深圳市深圳外国语学校2024届高三上学期第二次模拟测试数学试题变式题11-16
解题方法
7 . 命题
:三角形
中,角
、
、
所对的边分别为
、
、
,若边
,
,角
,则三角形
的外接圆的面积为
;命题
,
恒成立,则以下命题为真命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.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/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b903021571c1b57943a1a3274217654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5c81af39817c57583a0d1c1bebd36e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406cc5724ef07ee4571e84277039c7a2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 命题“
”成立的一个充分不必要条件是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15645e9603e13ffd6ff8ba41fc3c2a3e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
9 . 已知
为函数
图象上一点,则曲线
在点
处切线斜率的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20d7c658c92cc3461113a5fc0aced50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.1 | B.![]() | C.![]() | D.4 |
您最近一年使用:0次
2023-07-17更新
|
688次组卷
|
5卷引用:四川省宜宾市2022-2023学年高二下学期期末数学文科试题
四川省宜宾市2022-2023学年高二下学期期末数学文科试题四川省宜宾市2022-2023学年高二下学期期末数学理科试题福建省厦门市松柏中学2024届高三上学期第一次月考数学试题(已下线)考点15 导数的几何意义及其应用 2024届高考数学考点总动员(已下线)阶段性检测1.2(中)(范围:集合、常用逻辑用语、不等式、函数、导数)
解题方法
10 . 曲线
的参数方程为
(
为参数),则
的普通方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf010263e8a4a7aaae501ad079c78ead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次