真题
名校
1 . 已知a,b都是实数,那么“
”是“a>b”的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411a3276b5112d8fb2309beafd8988a2.png)
A.充分而不必要条件 | B.必要而不充分条件 |
C.充分必要条件 | D.既不充分也不必要条件 |
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2019-01-30更新
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17卷引用:2015届浙江省衢州市五校高三上学期期中联考理科数学试卷
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2 . 已知
,则“直线
与直线
垂直”是“
”的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea2bd8eb0da213f75c06647f2377993.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b4ce86bbf235a9b89177f9a9b01efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/056a3d0fe8e0f5597e1514296855bfdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2019-01-27更新
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5卷引用:2019届浙江省衢州市衢州二中高三下学期高考适应性考试数学试题
名校
3 . 过双曲线
的右焦点F,作渐近线
的垂线与双曲线左右两支都相交,则双曲线离心率
的取值范围为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac89d45e79b10741d93a9443c70adde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2019-01-10更新
|
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4卷引用:浙江省衢州市2020-2021学年高三上学期12月学业考试模拟数学试题
4 . 如图,过抛物线
(
)上一点
,作两条直线分别交抛物线于点
,
,若
与
的斜率满足
.
![](https://img.xkw.com/dksih/QBM/2018/12/23/2103190559358976/2103733847416832/STEM/44dc73b1c1814f0f981d8627d501d63c.png?resizew=136)
(1)证明:直线
的斜率为定值,并求出该定值;
(2)若直线
在
轴上的截距
,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c9708ef0dc6d6f5dcf6596d3e4f6e5.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/d39978841bdbe3d4d968557f8048f223.png)
![](https://img.xkw.com/dksih/QBM/2018/12/23/2103190559358976/2103733847416832/STEM/44dc73b1c1814f0f981d8627d501d63c.png?resizew=136)
(1)证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48bda099d4ccbffd59338c873b0193e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061b217fbf1e8cede06403b89ad7d63d.png)
您最近一年使用:0次
5 . 双曲线
的渐近线方程是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc116509e855270788a1b88d9e945dc8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
6 . 命题“若
,则
”的否命题是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e2c8d466ab8eb5ecd38060b53bbe8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323ee865defc540ee01d279d77a6228a.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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2018-11-22更新
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2卷引用:【校级联考】浙江省衢州四校2018学年第一学期高二年级期中联考数学试题
7 . 命题
:若
,则
是___ 命题 ;命题
的逆命题
是______ 命题.(在横线上填“真”或“假” )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c94099372ab3f19dc83c26c717dd518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b7b460a796bae9a52e3eb83718574da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
是
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8 . 已知
分别是双曲线
的左、右焦点,若双曲线右支上存在点
,使
,且线段
的中点在
轴上,则双曲线的离心率是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79af376df4d0281942d104562d4391ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabea664e61863b3b3279dbce607924e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
9 . 已知
是抛物线
:
上异于原点
的动点,
是平面上两个定点.当
的纵坐标为
时,点
到抛物线焦点
的距离为
.
(1)求抛物线
的方程;
(2)直线
交
于另一点
,直线
交
于另一点
,记直线
的斜率为
,直线
的斜率为
. 求证:
为定值,并求出该定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8516f71467b419293fa27df70bdaed74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/865b9d26b46afd4431eb57d29f247ea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66a5b7813e902306477f91f9f4084cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dedd84baa5219a2af415be51947c301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b881044b5c73db6fcce110525741b02.png)
![](https://img.xkw.com/dksih/QBM/2018/5/4/1938155828674560/1939602241789952/STEM/d48abb3d4c1245608609544fcded0a6a.png?resizew=189)
您最近一年使用:0次
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10 . 已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec3e3bcd67cf1a355986c6e3132470c7.png)
(1)当
时,求
在
处的切线方程;
(2)若函数
在
上单调递减,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82bfc9736d24964a5e0c02481bb431af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec3e3bcd67cf1a355986c6e3132470c7.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2018-05-06更新
|
698次组卷
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2卷引用:【全国校级联考】浙江省衢州四校2016---2017学年高二第二学期期中联考数学试题