四阶龙格-库塔法的局部截断误差为（ ）。 A: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202106/0f0ef82428234797b55f1de00a53ffaf.png" /> B: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202106/5f6b38bd8de641048c0f113bce5b6a6c.png" /> C: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202106/cbf6482b137141c0be1b9978d988e314.png" /> D: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202106/3b71c227f0b44f15b40a06684c2715f5.png" />

下列输入输出关系中，表示非线性、时不变系统的是（ ）。 A: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202106/13190a4383d54997b48eeb58f38f436b.png" /> B: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202106/2f52d632a75e4c968d71b9986dbe5976.png" /> C: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202106/e6d430a49ebd45a4b379da4690afdd97.png" /> D: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202106/e958ba2576fb48b986d14359af116bce.png" />

过3个互异节点<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202106/c93daa18788043aeba0c4c8d19dc37b6.png" />做拉格朗日插值，关于拉格朗日插值基函数<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202106/8e5bcb2a9a9c444f8bc3ad4fbe221f53.png" />，下列说法正确的是（ ）。 A: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202106/65e145e64f2a4189b72db6f72f7ba94f.png" /> B: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202106/854cbb8156c5467d87595bdd4c8e4baf.png" /> C: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202106/fd8f5422c04a4ddba89f2b32dd4509c8.png" /> D: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202106/1a0ef95dd38648768a995114ca9e4abe.png" />

围棋盒子中有多粒黑子和白子，已知从中取出2粒都是黑子的概率为<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202106/5560fa100a334bb98e61bbdbc87f7dc8.png" />，都是白子的概率是<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202106/0dbeb6c482464298bc7a08c6c18a880b.png" />则从中任意取出2粒恰好是同一色的概率是（ ）。 A: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202106/0dbeb6c482464298bc7a08c6c18a880b.png" /> B: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202106/5560fa100a334bb98e61bbdbc87f7dc8.png" /> C: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202106/2643cdf37f0242d185d3efb5321a3999.png" /> D: 1

通过点<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202009/a13927df1bf542dfa036a32b10364f69.png" />的拉格朗日插值基函数<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202009/65695a42c7a14b649b6aa4fb68f7e499.png" />满足( ) A: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202009/99af333f3e934ef6a75022ee1e728b53.png" />＝1，<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202009/7769611ac5cd4c93975be7c41a49ae71.png" /> B: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202009/99af333f3e934ef6a75022ee1e728b53.png" />＝1，<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202009/7769611ac5cd4c93975be7c41a49ae71.png" /> C: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202009/99af333f3e934ef6a75022ee1e728b53.png" />＝0，<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202009/7769611ac5cd4c93975be7c41a49ae71.png" /> D: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202009/99af333f3e934ef6a75022ee1e728b53.png" />=0，<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202009/f80e8e400f3f4916bcaf6b5fde757f16.png" />