解题方法
1 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99778763fe7a318f0a11f78b2cb67ada.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7925d39fff794d68ca0838d2925c0436.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a731a294c5db525fd5cccce4f8c473e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 将函数
的零点按照从小到大的顺序排列,得到数列
,其前
项和为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9c3cc4ba626cc12074542728cdfb930.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/352d9b76dcf639368fa68cae70149802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
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名校
解题方法
3 . 已知
,
,直线
与曲线
相切,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8f5555cca572226769d0bc9891f3323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ba801dc082ef554e184c1cec31543b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27e62ba44cbfec6823ebc1f0c7457fb.png)
A.4 | B.3 | C.2 | D.1 |
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名校
解题方法
4 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bb499750a6238b42ce41c4a17ef39d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 已知递增数列
的前n项和为
,且
,
.
(1)求数列
的通项公式;
(2)设
.
(ⅰ)求数列
的通项公式;
(ⅱ)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e84c2e4a2a86ffc252955c06e9b567e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e37b430b94a1afdb43f2a80782627c02.png)
(ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3d151cbe277608d3a6cfbbe3f5eb9a.png)
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6 . 日日新学习频道刘老师通过学习了解到:法国著名数学家加斯帕尔·蒙日在研究圆锥曲线时发现:椭圆的任意两条互相垂直的切线的交点Q的轨迹是以椭圆的中心为圆心,
(a为椭圆的长半轴长,b为椭圆的短半轴长)为半径的圆,这个圆被称为蒙日圆.已知椭圆C:
.
(2)若斜率为1的直线
与椭圆C相切,且与椭圆C的蒙日圆相交于M,N两点,求
的面积(O为坐标原点);
(3)设P为椭圆C的蒙日圆上的任意一点,过点P作椭圆C的两条切线,切点分别为A,B,求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da001dad7941e6c9858637d7b62cec59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc603fea876cbf85b1efcb5bab0d500f.png)
(2)若斜率为1的直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
(3)设P为椭圆C的蒙日圆上的任意一点,过点P作椭圆C的两条切线,切点分别为A,B,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
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解题方法
7 . 设
,当
变化时
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd54a4134aef3f68a9c068ee4dade284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf27e0ac992edacdf11c649113e9445e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知函数
具有以下的性质:对于任意实数
和
,都有
,则以下选项中,不可能是
值的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e2469a3ff9552ad17fa8cf8b54b6d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce6155e181e21ce56ea658b70f8af17.png)
A.![]() | B.![]() | C.0 | D.1 |
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9 . 考虑
的非空子集
,满足
中的元素个数等于
中的最小元素,例如,
就满足此条件. 则这样的子集
共有______ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/477aaa8eb4961a77a717ee664fd021ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/765272efc14488ec658fc3302c5e6cc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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名校
10 . 函数
的部分图像大致为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f8a0ac91ca429f7cf530a2b5b4e9865.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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