1 . 设
是过抛物线
的焦点
的一条弦(与
轴不垂直),其垂直平分线交
轴于点
,设
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/781ccf81a003a0977ec4204e93ded990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.2 | C.![]() | D.3 |
您最近一年使用:0次
2020-10-08更新
|
353次组卷
|
3卷引用:贵州省六盘水市第五中学2022届高三上学期期末数学(理)试题
2 . 已知函数
.
(1)当
时,求函数
的单调区间;
(2)存在
,
,使得
,求t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6bb12b7a802873cf7c10c9feef62ea1.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17641d15644d5fb2c79fd1016b21520f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb169d9a3ea1c75ce984239614d0359.png)
您最近一年使用:0次
解题方法
3 . 已知抛物线
的焦点是椭圆
的右焦点,且椭圆的离心率
.
(1)求椭圆C的标准方程;
(2)直线l与椭圆C交于不同的两点P,Q,且线段PQ的中点为
,直线
是线段PQ的垂直平分线,若
与x轴交于点
,求n的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef6b94e42869013745050aba059b58dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075ba8c6fb5ef7288cd3fed425c8e69e.png)
(1)求椭圆C的标准方程;
(2)直线l与椭圆C交于不同的两点P,Q,且线段PQ的中点为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52c4bbaba3478008c513cddf038168d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b6bf79ed6e5c86abc85a42c3cceae1.png)
您最近一年使用:0次
4 . 已知椭圆
的长轴长为4,离心率为
.
(1)求椭圆
的标准方程;
(2)若经过点
,斜率为
的直线
与圆心为
的圆
相切.
①求直线
的方程和圆
的标准方程;
②若直线
过点
,与椭圆
交于不同的两点
、
,与圆
交于不同的两点
、
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcab2c5c85301cf851418b1f57402d22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
①求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
②若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/623afc24f2227004b0e1b3922dfb954b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ce018c92bc6bc8340f20ca7371d191.png)
您最近一年使用:0次
2020-09-04更新
|
219次组卷
|
2卷引用:贵州省六盘水市2018-2019学年高二下学期期末教学质量监测数学(理)试题
5 . 设函数
,函数
.
(1)求函数
的单调区间;
(2)讨论函数
零点的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/030819930a8f5a97d9e9335cc59b5867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc58c25e710f00067bf003157b69dc80.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
您最近一年使用:0次
解题方法
6 . 定义在
上的函数
满足
,且
,则不等式
的解集是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8938db94f49dcbe0c383fba0241bb0da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ec73a3c03e03df1fa91fe4aa77d1a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1905c36ac8069049b72946dd4dca7538.png)
您最近一年使用:0次
7 . 抛物线
上一点
到其焦点的距离为3,则点
到坐标原点的距离为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8198c3b302b3820e86763428eb1e91cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
解题方法
8 . 已知离心率为2的双曲线
,过右焦点且垂直于
轴的直线与双曲线交于
、
两点,设
、
到双曲线的同一条渐近线的距离分别为
和
,且
,则双曲线的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.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/7f9e8449aad35c5d840a3395ea86df6d.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/5edf900c810371fb21297c15f86d8743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31ac1def558351e2e3ed1235c570530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d67c0c69ea24e3355c8f3f35f47b200.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-09-04更新
|
403次组卷
|
2卷引用:贵州省六盘水市2018-2019学年高二下学期期末教学质量监测数学(理)试题
解题方法
9 . 在平面直角坐标系
中,已知双曲线
,过双曲线的右焦点
分别作双曲线的两条渐近线的垂线,垂足分别为
、
,若四边形
为正方形,则双曲线
的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b4da0350e798a8eb3e358d2a5eb3be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2020-09-01更新
|
500次组卷
|
7卷引用:贵州省六盘水市第五中学2022届高三上学期期末数学(理)试题
解题方法
10 . 函数
的大致图象为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59ddd48327fea1336f75a5470a5bcdd4.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2020-09-01更新
|
352次组卷
|
5卷引用:贵州省六盘水市第五中学2022届高三上学期期末数学(理)试题