解题方法
1 . 已知抛物线
上一点Q到焦点F的距离为2,点Q到y轴的距离为
.
(1)求抛物线C的方程;
(2)过F的直线交抛物线C于A,B两点,过点B作x轴的垂线交直线AO(O是坐标原点)于D,过A作直线DF的垂线与抛物线C的另一交点为E,直线
与
交于点G.求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70792da1e2be7212a3f76b8d1c999bff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8794dad05cff3e19d6ba8f1658aa8422.png)
(1)求抛物线C的方程;
(2)过F的直线交抛物线C于A,B两点,过点B作x轴的垂线交直线AO(O是坐标原点)于D,过A作直线DF的垂线与抛物线C的另一交点为E,直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43ab7ed9b0df4db720f6f6c3e32f7c1d.png)
您最近一年使用:0次
昨日更新
|
49次组卷
|
2卷引用:2024届四川省攀枝花市高考数学三模(理科)试卷
解题方法
2 . 为弘扬中华民族优秀传统文化,某校举行“阅读经典名著,传承优秀文化”闯关活动.参赛者需要回答三个问题,其中前2个问题回答正确各得5分,回答不正确得0分;第三个问题回答正确得10分,回答不正确得-5分,得分不少于15分即为过关.如果甲同学回答前两个问题正确的概率都是
,回答第三个问题正确的概率为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
(1)求甲同学过关的概率;
(2)求甲同学回答这三个问题的总得分X的分布列及数学期望.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
(1)求甲同学过关的概率;
(2)求甲同学回答这三个问题的总得分X的分布列及数学期望.
您最近一年使用:0次
3 . 如图,直三棱柱
中,
,点
在线段
上,且
,
.
为
的重心;
(2)若
,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3570a95f68349fcd9417fcda62e78e7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9073cce40aa78cc9693c988f3eea90aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47af45fbf1714055d9b414a44a8613fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/166ccfa0ac0388903f3f5960c7fa3660.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e223e3d40ee025f15ead90746c28b8c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167e4b949f6bda469c5ac4af5a85a0db.png)
您最近一年使用:0次
解题方法
4 . 已知函数
.
(1)求函数
的极值;
(2)设函数
的导函数为
,若
(
),证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a54ae06f45443a86a386b8d10e1d2b3.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ad1f38ab4116e36ab4441b28b55fbe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f057bf79e066c9e6421f4efb06566a5.png)
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5 . 已知函数
.
(1)当
时,求函数
在
处的切线方程;
(2)设函数
的导函数为
,若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/949d765feb226500ca0736dd4d0fbd11.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8224b38d6e855172dd0ef7d6db91e86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f057bf79e066c9e6421f4efb06566a5.png)
您最近一年使用:0次
解题方法
6 . 已知函数
.
(1)当
时,解不等式
;
(2)若
的解集包含
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0f0915b7bbe6e6f212099f0fc10ea6f.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369100ccd44feaa77e5f119ea949a879.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d3c756a52c9185ae6d02d9b9312f29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1279ef84071f5ad7c4c1681357edd84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-04-24更新
|
198次组卷
|
2卷引用:2024届四川省攀枝花市高三下学期第三次统一考试文科数学试题
解题方法
7 . 如图,在平面直角坐标系
中,以坐标原点
为极点,极轴所在的直线为
轴,建立极坐标系,曲线
是经过极点且圆心
在极轴上,半径为1的圆;曲线
是著名的笛卡尔心形曲线,它的极坐标方程为
.
的极坐标方程,并求曲线
和曲线
交点(异于
点)的极径;
(2)曲线
的参数方程为
(为参数),若曲线
和曲线
交于除
点以外的
两点,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee619c7f8262583d2f6a63c92e7df82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(2)曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a24a274aba1bc258bdb1f1142661066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b754f20cbe682d781f5d1d062fa515.png)
您最近一年使用:0次
2024-04-24更新
|
378次组卷
|
2卷引用:2024届四川省攀枝花市高三下学期第三次统一考试文科数学试题
解题方法
8 . 已知中心在坐标原点
,焦点在
轴上的双曲线
的焦距为4,且过点
.
(1)求双曲线
的标准方程;
(2)过点
的直线
交双曲线
的右支于
,
两点,连接
并延长交双曲线
的左支于点
,求
的面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/472335b39f337e413a4d8e90d1d6a3d9.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a812a9b58ccba331cfd21d244329af01.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
您最近一年使用:0次
9 . 已知函数
.
(1)求函数
的单调递减区间;
(2)若不等式
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/612c806ffa81fb1d72fe4eb93d939b18.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29bcb4e35615c3adef64a28dab0d3ad3.png)
您最近一年使用:0次
名校
解题方法
10 . 已知函数
.
(1)当
时,解不等式
;
(2)设
,且
的最小值为t.若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6e4556b2bc6e87c3d1b5a28c044577.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f61db73a5a9bce4ece8259a4c7d29376.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e14cd857ecb9810da61e12f2fcb50087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57f879f6e8df7d5fb261328806260b3.png)
您最近一年使用:0次
2024-01-17更新
|
446次组卷
|
3卷引用:四川省攀枝花市2024届高三二模数学(理)试题