解题方法
1 . 已知
,
,对于平面内一动点
,
轴于点M,且
.
(1)求点Р的轨迹C的方程;
(2)当
时,直线
与曲线C交于不同两点Q,R,与直线
交于点S,与直线
交于点T,若
,
为坐标原点,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38729d36302cda29e4878e9a094b65f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a64d2e963e29c2c691bb297ec30d80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f2b8b3ccd7de8faf0b5795ae5318f4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea3a3db6d96518255f96ad7fc1ac98f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9416a7402f528e113659bf5ea0c7ca16.png)
(1)求点Р的轨迹C的方程;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5765565863f721477c5583a9e70549e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1d8d5cea065075fe50706abe3ae802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/127c2b511cc238b9adeaab01338d754d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/648dad9505f3901b4806839bcbc7616f.png)
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名校
解题方法
2 . 已知
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a744d6d408be3e5b96e86870550b2f3e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-02-05更新
|
1780次组卷
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4卷引用:云南省大关县第一中学2023届高三下学期3月月考数学试题
名校
解题方法
3 . 已知
,e是自然对数的底,若
,则
的取值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73254f32b6da29ecc32df2e9f87a4c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec5a0f073381dbbafd6e6eaabaa12d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122e3f1e76a635e58e4d54aa594c552.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2022-05-08更新
|
2389次组卷
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5卷引用:云南省水富县云天化中学2023届高三下学期第三次质量检测数学试题
云南省水富县云天化中学2023届高三下学期第三次质量检测数学试题广东省2022届高三三模数学试题(已下线)考向07 指数、对数函数(重点)河北省沧州市普通高中2023届高三上学期摸底考数学试题(已下线)专题10 对数与对数函数-2
4 . 把
的图象向左平移
个单位,再把所得图象各点的横坐标缩短为原来的
倍,再把所得图象各点的纵坐标伸长为原来的2倍,得到函数
的图象,若
对
成立,则
①
的一个单调递增区间为
;
②
的图象向右平移
个单位得到的函数是一个偶函数,则
的最小值为
;
③
的对称中心为
;
④若关于x的方程
在区间
上有两个不相等的实根,则n的取值范围为
.其中,
判断正确的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6cc0e2b71c0bbc477f15420d2cfa2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3200e6aa922be0e0675d52c3d799750d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fec2b153baae853850533aee2b5d8b3b.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f07948e9258b482a2164ac871f90f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a779bc72e99260a531b88acdfbb39277.png)
④若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32b12ff508a0b321c8c57468509e1963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6232413a655f772f53b7fabbc9c332b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02c5c46e01d8419b7a810494b4ed6ca.png)
判断正确的序号是( )
A.①② | B.①③ | C.③④ | D.①③④ |
您最近一年使用:0次
2022-02-22更新
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1279次组卷
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4卷引用:云南省昭通市2022届高三期末数学(文)试题
解题方法
5 . 直线
交
轴于点
,交椭圆上
(
)于相异两点
,
,且
.
(1)求
的取值范围;
(2)将弦
绕点
旋转
得到线段
,设点
的坐标为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab466aedd6e176088d8dee7bc3e3aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.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/664dd75ac186f08df210f40d98355711.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)将弦
![](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/54e7a123c9cc0e058db28841fb0edcf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffef5fb614a2b2a033451b523a21ac3.png)
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