解题方法
1 . 已知复数
满足
,若
为实数(i为虚数单位),则
为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b335938c3c67431d4d94df75d1e49966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b385cf556ae7106930b03541ac60a1d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed2134f58ebae2a2950c35ff630fe836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4844f80b1fd1f9606824181896bbd3.png)
您最近一年使用:0次
2 . 如图,已知抛物线
的焦点为
,直线
与抛物线交于
两点,过
分别作抛物线的切线
,
交于点
.过抛物线上一点
(在
下方)作切线
,交
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/7010be9e-22f0-4144-940a-0b3e5e66e9d7.png?resizew=256)
(1)当
时,求
面积的最大值;
(2)证明
四点共圆.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91356fe1338cd458e4b1761b36873145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655b6a742dbacdab5aaa298007663dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/072104dd362a079309bcf3916901b7df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5191fd3625bf6bd3744807e3ccdb030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5191fd3625bf6bd3744807e3ccdb030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16cc6468ae954284918b1b54b188ae81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16cc6468ae954284918b1b54b188ae81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0914b68f106a912420705b2f3928ca42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a28be4d5a16cf245f6fa7c4088fee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a159de0b2d9eb1ae0b7e664e64d3c6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92adfef6c3f4b8c041958fbf0b01f6a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16cc6468ae954284918b1b54b188ae81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86079725fcc03d623554ce82be14514.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/7010be9e-22f0-4144-940a-0b3e5e66e9d7.png?resizew=256)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dedff09ac873e40c3ee0ce3ecf2fa032.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854f480c60b88b546cb15d3b5622e212.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8b58ad3c066807c6b456932beafe39.png)
您最近一年使用:0次
3 . 曲线
的离心率为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ca4d0e1a19970ee9522dc9e0b4266d2.png)
您最近一年使用:0次
解题方法
4 . 多项式
展开式的各项系数和为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c71e3e0a62efaf8a35457b1daaf5ec6c.png)
您最近一年使用:0次
解题方法
5 . 已知数列
,
,记
为
的前
项和,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb13237f04bd129ff52ad910d6d64bda.png)
,记
,
,
为
的前
项和.
(1)求数列
的通项公式;
(2)对
,使得
恒成立,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065054f4e163585d630aa42cb6323a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4a4465705237c08e4e05d849cb28d0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065054f4e163585d630aa42cb6323a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a425978da20cebf8c4c63953579e7b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb13237f04bd129ff52ad910d6d64bda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bc21d3aa3d73897faff10fbafcfcca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d434bb9bd8d871e4cd1710adb4e92b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d2a34ba3e0a669a77e76dc4e66edae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4a4465705237c08e4e05d849cb28d0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a425978da20cebf8c4c63953579e7b35.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065054f4e163585d630aa42cb6323a3e.png)
(2)对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0790ada81b629938c80fb28b53f76282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e33cc462e26236015d48424f5fa207b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9faeed172ec5b88966b0d1c52748d41.png)
您最近一年使用:0次
6 . 符号
表示不超过
的最大整数,
为正整数,求:
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e90b41a295a4b424cf37f5640430dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ffb694021b52653de5141ae27ba6d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a425978da20cebf8c4c63953579e7b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77b36ee2eebae5b276242089079dcace.png)
您最近一年使用:0次
7 .
的边分别为a,b,c,且满足
,则
的取值范围为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ff214d99784c6b23b7784bdaf3ed37a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/399461908ddad512b53d04d80f4ca580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51967992d093c51c7d28c46e3840a95.png)
您最近一年使用:0次
8 . 设正项等比数列
满足
,
.令
求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/853eace02560e7f1490694276c29a856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057f84c7e6b5cfde2e11dd1926c50790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/412d3d040e4e67daad25aa085fc45e0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783af6a1ae35709a95b4287409348310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da2db7e09d2b1dbfbcd02574dae25ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1b143f8888579b22c2fe7e70516310a.png)
您最近一年使用:0次
9 . 在平面直角坐标系中,抛物线
:
的焦点为
,直线
交C于A,B两点,延长AF,BF分别交抛物线于M,N两点.令
,
,
,
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91356fe1338cd458e4b1761b36873145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655b6a742dbacdab5aaa298007663dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91703f114468effe42cc90bfbcaccc94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cfc1cf121adab4cddcdd98415b3a3c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22b8cc74825d62042a387df3ca6542ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7faa87c58d6807e27193ab43be29e86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11d75bfbd8b05a5987d579f35b2969a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54fa605fe0907e944ec0f716cad93002.png)
您最近一年使用:0次
10 . 已知
,则
的最大值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e8cbd2870d3b6372609f82c491a803.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c69601415aff5dd2d9fee2ba26f81c.png)
您最近一年使用:0次