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学科：数学分析选讲**
时间：2025-03-31 22:47:39
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题目1单选题
以下关于数列的叙述正确的是( )A. 单调数列必收敛B. 有界数列必收敛C. 无界数列必发散D. 发散数列必无界
题目2单选题
若<img src="https://tihai-oss-cloud.itihey.com/img/d3ad31d69017e30eb98170a2e5b332d0.png">在<img src="https://tihai-oss-cloud.itihey.com/img/2d71b94aa6d0a36734af36c4deaff320.png">处可导,则<img src="https://tihai-oss-cloud.itihey.com/img/35ed5073f171d667eddc124cdd392720.png">在<img src="https://tihai-oss-cloud.itihey.com/img/2d71b94aa6d0a36734af36c4deaff320.png">处( )A. 一定可导B. 一定连续C. 一定不可导D. 以上都不对
题目3单选题
若<img src="https://tihai-oss-cloud.itihey.com/img/4d7808952b0436944338e43169708d70.png">可导,则<img src="https://tihai-oss-cloud.itihey.com/img/311fbf6a08c5b727a6d135a66d4bbba7.png">( )A. <img src="https://tihai-oss-cloud.itihey.com/img/d5a942671bf4d989e928670ebea045cf.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/e7dbd3f26e01b285817f55803bc5371e.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/de1b81bd1587c139c88a558aa43c3407.png">D. 不存在
题目4单选题
下列级数中收敛的是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/5ebe3426b7467476cd92e1aabc637b84.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/d28b224d7002ba9107eff6ab43f1bb49.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/41e823f5775e2dfe30d6bb8acf79a867.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/5ee7e1e10db1542ccc78ad2803b534f8.png">
题目5单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/231233993d9e7a7feb8a13572bb5f008.png">,则二重积分<img src="https://tihai-oss-cloud.itihey.com/img/06f040486f603598268f439c75813cdd.png">在极坐标下的二次积分为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/fed3b21892b2f2fc593bfe4ec154dc7b.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/60f21af051360bd3bb8a82fd29db3f6e.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/f3325ef12fdb9a9ad20aa6f5882db9f5.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/852bbb023584f3b0b31a2af04fa1f1d2.png">
题目6填空题
<img src="https://tihai-oss-cloud.itihey.com/img/841a15f7085f232ab209889218704d05.png">____题目7填空题
<img src="https://tihai-oss-cloud.itihey.com/img/87fa1b6e8d822c42ec234477c81aca9d.png">____题目8填空题
设函数<img src="https://tihai-oss-cloud.itihey.com/img/cc2af75fe40a798573915499036fbe09.png">在<img src="https://tihai-oss-cloud.itihey.com/img/70f38037834d241167ac8e96ea9f67e9.png">处可导,<img src="https://tihai-oss-cloud.itihey.com/img/86a12b30b81d95880ea08e27396d72b1.png">____,<img src="https://tihai-oss-cloud.itihey.com/img/26302559d9be93ccd989d413d7d3697b.png">____题目9填空题
由曲线<img src="https://tihai-oss-cloud.itihey.com/img/e47efcd0d7d9f4eaf56de0cc93c30d8b.png">与<img src="https://tihai-oss-cloud.itihey.com/img/8ceb3910e402224a380a4330a2dc7594.png">所围成的图形的面积为____题目10填空题
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