名校
解题方法
1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00122222a860a62964ae33dae78b10a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e5ff2705eb737adef9a6dc70559d79.png)
(1)若
,求
的取值范围;
(2)若
既存在极大值,又存在极小值.
①求a的取值范围;
②当
时,
分别为
的极大值点和极小值点,且
,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00122222a860a62964ae33dae78b10a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e5ff2705eb737adef9a6dc70559d79.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
①求a的取值范围;
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f386803debe019dfca91cb18a09c1b1.png)
您最近一年使用:0次
2024-06-03更新
|
179次组卷
|
2卷引用:河北省邢台市第一中学2023-2024学年高二下学期期中测试数学试题
2 . 已知函数
.
(1)求函数
的单调性;
(2)若
有两个不相等的零点
,且
.
①证明:
随
的增大而增大;
②证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2171c919d54a0168197a4ae8222792c8.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afa638b397608f0ad39f1beab9b2243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
①证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8dc531505ec45b8eb8ae4fad88d69e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
②证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7f7298bf3df9eef84d25c1ccaedf3e6.png)
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名校
解题方法
3 . 对于函数
和
,设
,若存在
使得
,则称
和
互为“零点相邻函数”.设
,
,且
和
互为“零点相邻函数”.
(1)求
的取值范围;
(2)令
(
为
的导函数),分析
与
是否互为“零点相邻函数”;
(3)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1f6dc102cde1ad73261dd011fe2d91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c5d913c7b5aaf5a3ed0054e6b4647c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b22ec92162aa1b78e8768e5fa0294f41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6caa47b05ebbf9816c4e6f159c740f0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b4b7fddfba71bb09e7e5ab7f1a2f213.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22add663bd26e87d972a10dc5fd9ada1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34937ab7546361c8bb4873a164ced32b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28789ca506fc253b4019f92998e14094.png)
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名校
4 . 若数列
若满足递推关系
其中
为常数,我们称该数列为k阶常系数齐次线性递推数列,并称方程
为递推关系式(*)的特征方程,该方程的根称为数列
的特征根.我们有以下结论:对于k阶常系数齐次线性递推数列,若其不同的特征根为
,
,…,
,且特征根
的重数为
,则数列
的通项公式为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a573c3e3b4c5b02a85d309aee9ffbc2.png)
其中
,
,这里
都是常数,它们由数列初始值可以确定.
(1)若数列
满足
,且
,
,
,求数列
的通项公式;
(2)若数列
满足对于所有非负整数m,n(
),
都成立,且
,求数列
的通项公式;
(3)设边长为1的正六边形ABCDEF,O是六边形的中心,除了六边形的每一条边,我们还从点O到每个顶点连一条线段,共得到12条长度为1的线段,一条路径是指动点沿着上述线段(全部或部分)移动,始点终点均为点O的一条移动路线.求长度为2024的路径共有多少条?(注:根的重数就是方程中同样根的数量)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ab67ba8b0719104e78cfa6ce029290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11e26bb035fe18631ca09dd61ba446d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0c87ab1d7f0eaf58fb90e7087ad7e71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8256967311eda335e21bb88f6e726fb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6ba141730fd5aae78ada1a8eb17d21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d68e94f023b09352f46cf2ff3afb291c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a573c3e3b4c5b02a85d309aee9ffbc2.png)
其中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9176aeda3df453783774182340e074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f9b96ef08d0169c0c8ff9a06eb0c5d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1c5521a39235f0b9cdf432d5903aa83.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac06043337b08fece3c5762766fdb2a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/329785900390130a04a57d0b55aaa569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ddb84ee3769b8977d138638120ed820.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bd68dad20a530c17474ad6c73be07e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b67fc21d26aead8dcbfb36d7df8aa895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)设边长为1的正六边形ABCDEF,O是六边形的中心,除了六边形的每一条边,我们还从点O到每个顶点连一条线段,共得到12条长度为1的线段,一条路径是指动点沿着上述线段(全部或部分)移动,始点终点均为点O的一条移动路线.求长度为2024的路径共有多少条?(注:根的重数就是方程中同样根的数量)
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5 . 设函数
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e5f844201df5c98dd55b9f383377634.png)
A.n为奇数时,![]() ![]() |
B.![]() ![]() ![]() |
C.![]() ![]() ![]() |
D.![]() ![]() |
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名校
解题方法
6 . 已知
为实数,用
表示不超过
的最大整数,例如
,对于函数
,若存在
,使得
,则称函数
是“
函数”.
(1)判断函数
是否是“
函数”;
(2)设函数
是定义在
上的周期函数,其最小正周期是
,若
不是“
函数”,求
的最小值;
(3)若函数
是“
函数”,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b49bd5a7cfeeee2b31826482b7c3239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf688f85e038f08c7908c8b6895c3bfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b19ec960e7b486de3916696346501a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05e58511f4619129ff54be866cb3381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1982786864f37e6f954e8d70f9970620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7 . 已知曲线
,曲线
且
,若满足条件
在
的上方,且
有两条不同的切线被
所截得的线段长相等,则实数
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02b04d54ba29d36e6dfaba9379573f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c619d4af39628d403052c01545d6164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38edc8009e265a9cb4c1b8a4c2c01eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e5ebbccb25567d5d52e02f6fd95d6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0a7ae4264ba1581d092441dfd4bd6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e5ebbccb25567d5d52e02f6fd95d6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0a7ae4264ba1581d092441dfd4bd6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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8 . 定义:如果函数
和
的图象上分别存在点M和N关于x轴对称,则称函数
和
具有
关系.
(1)判断函数
和
是否具有C关系;
(2)若函数
和
不具有C关系,求a的取值范围;
(3)若函数
和
在区间
上具有C关系,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2faa63899873813748f6a28b8a92e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2faa63899873813748f6a28b8a92e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6e5642baebe4d6058036b58c4bd8b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a91ab7decdd91608bccd0f5001670f.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7bdadb740101b1d7d0d0544ec4e2c21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e88942ccfe35ab7fe2bfa0e5e60617b.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dbf95445f27cf4cb773ba206adb1537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd29214c2a38a485aa0d185e0c615bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28e974171c487fed265baaa2043edd9a.png)
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9 . 设集合
是一个非空数集,对任意
,定义
,称
为集合
的一个度量,称集合
为一个对于度量
而言的度量空间,该度量空间记为
.
定义1:若
是度量空间
上的一个函数,且存在
,使得对任意
,均有:
,则称
是度量空间
上的一个“压缩函数”.
定义2:记无穷数列
为
,若
是度量空间
上的数列,且对任意正实数
,都存在一个正整数
,使得对任意正整数
,均有
,则称
是度量空间
上的一个“基本数列”.
(1)设
,证明:
是度量空间
上的一个“压缩函数”;
(2)已知
是度量空间
上的一个压缩函数,且
,定义
,
,证明:
为度量空间
上的一个“基本数列”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9661053f3ef4cfa926e5d5fd5c6555f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a1f35848a78a4f00c21500e2610e21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/171102a883b22fe6ca578efc8926f5b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/171102a883b22fe6ca578efc8926f5b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c975849cb845a1eb30e25d6bb0782075.png)
定义1:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/974cd5eed14d5002f6155dced3e62432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c975849cb845a1eb30e25d6bb0782075.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034e4d52bd5ae47074a93c0647f67399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9661053f3ef4cfa926e5d5fd5c6555f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f1ada25dccde00dfff2525360188a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c975849cb845a1eb30e25d6bb0782075.png)
定义2:记无穷数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da889327e4b9a31336a88e6da53334d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7968de1fe9004760db9a41c24df809b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7968de1fe9004760db9a41c24df809b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c975849cb845a1eb30e25d6bb0782075.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859cf5bf57a50d2da19c0bb926ce9c18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e61e145e5a49ebbe72c3b9ba1f7cdde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a6f5c5649285cbabda20a452db04f38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7968de1fe9004760db9a41c24df809b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c975849cb845a1eb30e25d6bb0782075.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8557a6d85a35cd171e43087afd1b0576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38c95a62ca5cb2f440792632ec36595b.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd6ebf0a370d321e89a8f9921041a5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae4c872929a492d8bcd9e649f190a66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8671bcd155dd76d76d83573c6f20e930.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cfb19f0c37a72b33083ae9319f11a74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6961967d7e48061a9cbb14f597e73d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7968de1fe9004760db9a41c24df809b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae4c872929a492d8bcd9e649f190a66.png)
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10 . 数学归纳法是一种数学证明方法,通常被用于证明某个给定命题在整个(或者局部)自然数范围内成立.证明分为下面两个步骤:1.证明当
(
)时命题成立;2.假设
(
,且
)时命题成立,推导出在
时命题也成立.用模取余运算:
表示“整数
除以整数
,所得余数为整数
”.用带余除法可表示为:被除数=除数×商+余数,即
,整数
是商.如
,则
;再如
,则
.当
时,则称
整除
.现从序号分别为
,
,
,
,…,
的
个人中选出一名幸运者,为了增加趣味性,特制定一个遴选规则:大家按序号围成一个圆环,然后依次报数,每报到
(
)时,此人退出圆环;直到最后剩1个人停止,此人即为幸运者,该幸运者的序号下标记为
.如
表示当只有1个人时幸运者就是
;
表示当有6个人而
时幸运者是
;
表示当有6个人而
时幸运者是
.
(1)求
;
(2)当
时,
,求
;当
时,解释上述递推关系式的实际意义;
(3)由(2)推测当
(
)时,
的结果,并用数学归纳法证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ca4f2b82d9d7a8323c8d697338a6a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50ed0d20a923abd9a4c8bc72e503d302.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef7ca2b3e8061384501f668e59696a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e10f2f74e201f77f853e9ed9078615c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/453a099f765d8c4a54a7a8f548b1b158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63ba21f3d0cfc86d40e2e06446623ce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed42522ccb5fef607df8b71fcca03bcd.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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac646e0d7a0fe3da13af10a4d6b7a7cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c11459ed580667182b973830b7930a45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f2b6418c6ff728016faa9f1d5926b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01a88d12a6122318453b528d0b7039df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825857618aaf55138ad1b008bf27d2bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad1d0df209f53d2331c6ec769b81a268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35f7dcce39f3d4dc6b7faf84dc1d0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0876215b2fd463d151523cd3c6b447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ac49ab7c8001c209b8611b9ea40d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/346f2f0d0ac7cf381bc8dedfba28a50a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b2019c578fb0c606c2d7bc6b2ecde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35f7dcce39f3d4dc6b7faf84dc1d0a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a23fc4d9afa54c10d64bf048b235da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ba21bebb9b0f51cdc2f4f3f88d04dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35f7dcce39f3d4dc6b7faf84dc1d0a1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b3f774c75236a4df0872fec3982c0f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e167b43045b3297248e334c41c621b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a21c193f9123c196ac441c808c941d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5753205b9c37cf47a6e79c2e1bf6634e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/856b137a34d2d5b20671b7a3c7a29606.png)
(3)由(2)推测当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3e56a7ba76370a9c5dee9fb8cf778b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e10f2f74e201f77f853e9ed9078615c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb732266164b63ae157799fc05fefef8.png)
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