名校
解题方法
1 . 已知椭圆
,焦距为2,离心率
为
.
(1)求椭圆
的标准方程;
(2)过点
作圆
的切线,切点分别为
,直线
与
轴交于点
,过点
的直线
交椭圆
于
两点,点
关于
轴的对称点为
,求
的面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f85f1a0c955c915aefe3fcdc9d7eed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe659fb4ca96554eeefd6a305ea1a70d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e24e9da4baf5f37f723a7577d2cb30f5.png)
您最近一年使用:0次
2020-04-08更新
|
791次组卷
|
7卷引用:重庆市重庆一中2016-2017学年高二下学期期中考试数学(理科) 试卷
名校
解题方法
2 . 已知函数
,
.
(1)若
,求曲线
在点
处的切线方程;
(2)当
时,函数
的两个极值点为
,
,且
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/989efa81920b81999fe14cd897042c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fba98d7b8689f07a147cc1c84023fdab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829ac29f2af26669fb5061d40ab7a0ef.png)
您最近一年使用:0次
名校
3 . 已知实数
,函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
,若关于
的方程
有三个不等的实根,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8713671c4fa44bfc9f969aa52d818b41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4be059fd9e206738ee051c2577663c4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2017-05-28更新
|
3399次组卷
|
5卷引用:重庆市巴蜀中学2017届高三下学期期中(三模)考试数学(文)试题
重庆市巴蜀中学2017届高三下学期期中(三模)考试数学(文)试题河北省衡水中学2018届高三上学期八模考试数学(理)试题(已下线)2020届天津市河西区高三高考一模数学试题江西省赣州市赣县第三中学2021-2022学年高二4月月考数学(理)试题(已下线)专题3-2 压轴小题导数技巧:求参 - 2
名校
4 . (原创)已知
,则
的最小值是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e205f8689f721396e09f80513407c44f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a58e66de52ecab0aae8be46563f1d703.png)
A.![]() | B.16 | C.![]() | D.17 |
您最近一年使用:0次
5 . (原创)在非直角
中,
为
上的中点,且
,
为边
上一点,
,
,则
的面积的最大值为__________ .(其中
表示
的面积)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b8f94d6fd005534d064ddacf8800b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcbd3835acdb0c946b5fc3c5a3f3b0f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60634341a9603e24b2bbc6960abe3d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58195e8ee6f342c1641d9e88ff986f56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
您最近一年使用:0次
2017-05-27更新
|
3938次组卷
|
2卷引用:重庆市第一中学2016-2017学年高一下学期期中考试数学试题
名校
解题方法
6 . 已知数列
满足
,
,
.
(1)若
,
,
,求实数
的取值范围;
(2)设数列
满足:
,
,设
,若
,
,求
的取值范围;
(3)若
成公比
的等比数列,且
,求正整数
的最大值,以及
取最大值时相应数列
的公比
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66ffb712745aa3d6c2044ddd6694ef73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f4e1236d7dc0366d9523d0cbb426be.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55b58f3f154dc5acafe10e3878cacb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/157fc73999f07d08e7814c83f8aa4783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91afb079641b0b656524f4ce69a0c271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07bc4751d3ba763d166cf9de5635b39a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dc102a5fb99bac3bc30e0253509ac79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41dd42e4f493477fb0f36137893d4d06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d51216e08f06028e2e25aebe378db9b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41dd42e4f493477fb0f36137893d4d06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
您最近一年使用:0次
7 . 已知椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5bbb709522dba9425a6b45ee671298.png)
,
是坐标原点,
分别为其左右焦点,
,
是椭圆上一点,
的最大值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44917f942c3fd36614f58d47b5fe1821.png)
(1)求椭圆
的方程;
(2)若直线
与椭圆
交于
两点,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc7df99fe6438442a9453fc0c57fb703.png)
(i)求证:
为定值;
(ii)求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5bbb709522dba9425a6b45ee671298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efbe4a54a27dc48e3f52d6249bd1681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e22a3c7e465a61e9849dd223261be47c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44917f942c3fd36614f58d47b5fe1821.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc7df99fe6438442a9453fc0c57fb703.png)
(i)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3eeae1143162b4d564f4b77e3f77cd8.png)
(ii)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1f0417d8269f01d8e0bc1a8756e2ac.png)
您最近一年使用:0次
2017-04-16更新
|
842次组卷
|
4卷引用:重庆市重庆第一中学2017届高三下学期期中考试文科数学试题
名校
8 . 已知
是椭圆
的左、右焦点,
为坐标原点,点
在椭圆上,线段
与
轴的交点
满足
.
(Ⅰ)求椭圆的标准方程;
(Ⅱ)圆
是以
为直径的圆,一直线
与圆
相切,并与椭圆交于不同的两点
、
,当
,且满足
时,求
的面积
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57716e79a2260980950a62f78e76e88e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f392d61933568d27a27568c6298365bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2997663af03995110920b5cba07806d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64b55f4ca2d21088854e1aeb040fa950.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9b6ef8c4290bdea0c40c8d6372a6b30.png)
(Ⅰ)求椭圆的标准方程;
(Ⅱ)圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3890662033d184c8d3d023bd73ac2aab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0adfdc7c15bcd6361c91066d762945.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/7f48835e10c5427d31bed418c60ecd68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7920f5c1d10af5e508b972670b5ba2b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84ed6bee57f4526320197d6a7474386f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
2017-02-18更新
|
1415次组卷
|
7卷引用:2016-2017学年重庆市万州第二高级中学高二上学期期末考试理数试卷
名校
9 . 已知函数
.
(1)令
,求函数
的单调区间;
(2)若
,正实数
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38b2c3ffd71c0abd1dce11d17e9674ab.png)
(1)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9c4332a29a1f9236552dd472011f1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91a1321266f652ea37ae0fe7c1a3faf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6330de640d51bb3970813289a4de3a5d.png)
您最近一年使用:0次
2016-12-04更新
|
1806次组卷
|
9卷引用:重庆市梁平区2018届二调(12月)理科数学试题