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填空题为贵,社稷次之,君为轻.——《孟子》

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时间：2026-01-04 16:14:39

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为贵,社稷次之,君为轻.——《孟子》

当<img src="https://tihai-oss-cloud.itihey.com/img/8a65cfddce98ce4d684bb300b4083e23.png">时,<img src="https://tihai-oss-cloud.itihey.com/img/289b3617220e8e83e0ae38c3a58ff503.png">是比<img src="https://tihai-oss-cloud.itihey.com/img/8fbd063e691c0e8b9c11beedc275a191.png">高阶无穷小,则( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/4e1ee1c6429a31eb16d0fef95496739c.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/1dbccc6e5febb863e4c9a069321b826b.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/138864290d51748a72c187d285035f70.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/c3dbbb05ca892ad95c579c7fb1ac42c8.png">为任意实数

设函数<img src="https://tihai-oss-cloud.itihey.com/img/3f489ae89c022cc353bb9a4135e17ac9.png">,则下列说法正确的是( )

A. 在 <img src="https://tihai-oss-cloud.itihey.com/img/bced2fdc87bef424c79f1cae36518d67.png">内无界B. 当<img src="https://tihai-oss-cloud.itihey.com/img/a482a6044466cb3470274747a034253e.png">时为有极限C. 在 <img src="https://tihai-oss-cloud.itihey.com/img/bced2fdc87bef424c79f1cae36518d67.png">内有界D. 当<img src="https://tihai-oss-cloud.itihey.com/img/a482a6044466cb3470274747a034253e.png">时为无穷大量

当<img src="https://tihai-oss-cloud.itihey.com/img/8d688475aa3a6f691bf3a29bb82b29da.png">时,<img src="https://tihai-oss-cloud.itihey.com/img/fa09a1147ad47e872a37b90037f6acdb.png">均为无穷小量.下列变量中,当<img src="https://tihai-oss-cloud.itihey.com/img/8d688475aa3a6f691bf3a29bb82b29da.png">时,可能不是无穷小量的是( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/6516c0a1abc32f0f3562c0916e690131.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/6bbd8912311746b45ef20a361b377a53.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/a15ded8756231b76da6a5b25dcf3ed3b.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/c39bfd8af31306607bef2528370a3e39.png">

下列命题正确的是( )

A. 无穷大量必为无界变量B. 无穷大量是一个很大很大的数C. 无界变量必是无穷大量D. 无穷小量是一个很小很小的数

当<img src="https://tihai-oss-cloud.itihey.com/img/2f40915e3bcb47c177269620e5043cb2.png">时,<img src="https://tihai-oss-cloud.itihey.com/img/a2cd64593be3d772bb183b924623a11c.png">与<img src="https://tihai-oss-cloud.itihey.com/img/7977704288b6ae8347c0fb751f6b3d15.png">为等价无穷小,则<img src="https://tihai-oss-cloud.itihey.com/img/d8d19e50c327a2bd9492c8173211c0e5.png">= ( )

A. -2B. 1C. <img src="https://tihai-oss-cloud.itihey.com/img/c5450d131f0dd9788b455afe9993dff3.png">D. 2

当<img src="https://tihai-oss-cloud.itihey.com/img/8804005d8183fdba1b84e24fc33037eb.png">时,<img src="https://tihai-oss-cloud.itihey.com/img/1c88e508ea6595c5bc8b330d2e447d64.png">是<img src="https://tihai-oss-cloud.itihey.com/img/0bf8aba2c13f53b469186ee4274cb10b.png">的( )

A. 高阶无穷小B. 低阶无穷小C. 等价无穷小D. 同阶无穷小,但不是等价无穷小

当<img src="https://tihai-oss-cloud.itihey.com/img/c9f6e83de662d1127130c85ad8b2e85d.png">时,<img src="https://tihai-oss-cloud.itihey.com/img/803048bcd5cd88fc3d0ae97b5f9481e2.png">与<img src="https://tihai-oss-cloud.itihey.com/img/d3b77b96c9110fd8f2a22c837efb83f8.png">比较是( )

A. 等价无穷小B. 同阶无穷小C. 较高阶的无穷小D. 较低阶的无穷小

当<img src="https://tihai-oss-cloud.itihey.com/img/c9f6e83de662d1127130c85ad8b2e85d.png">时,若<img src="https://tihai-oss-cloud.itihey.com/img/cb69fd050e20f44428e467657aa13505.png">与<img src="https://tihai-oss-cloud.itihey.com/img/924ba197f6cb10ca8f5591ad64580f22.png">是等价无穷小,则<img src="https://tihai-oss-cloud.itihey.com/img/a8bb504ed41a295f8d180f74478822ee.png"> ( )

A. <img src="https://tihai-oss-cloud.itihey.com/img/8a557c35f13e23e262b7ef06c613aa5a.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/c5450d131f0dd9788b455afe9993dff3.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/e19f1afbc05dd5bcadad277de9ef2370.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/ceaadf519fde5badd2e444fb46462af4.png">

若<img src="https://tihai-oss-cloud.itihey.com/img/8804005d8183fdba1b84e24fc33037eb.png">时,<img src="https://tihai-oss-cloud.itihey.com/img/005ddf0985a7dbb3bb7f95629285c943.png">与<img src="https://tihai-oss-cloud.itihey.com/img/85646270d94a849ba2db3931c49c4897.png">是等价无穷小,则<img src="https://tihai-oss-cloud.itihey.com/img/60acd9514caa4fc05e7680753a6b0659.png">____

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