\mathrm{OA} \mathit{\mathrm{_{n}}} \mathrm{B} \mathit{\mathrm{_{n}}}

162:T6f8,

S ( 2 ^{10} ) = 2 ^{k}

a2:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[" 삼각형 ",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$161"}}],"의 넓이를 ",["$","span","p0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

S ( n )

"}}],"이라고 할 때, ",["$","span","p0-2-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$162"}}],"이다. ","$L163","의 값은? [3점]\n① ","$L164","\n② ","$L165","\n③ ","$L166","\n④ ","$L167","\n⑤ ","$L168",""]}] 169:T820,

\displaystyle {{y = 2 \sqrt{x}}}

a4:["$","span","p0-0-t0-m7",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$169"}}] 16a:T40a,

\mathrm{A} _{\mathit{n}}

a5:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$16a"}}] 16b:T426,

\mathrm{{B _{\mathit{n}}}}

a6:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$16b"}}] a7:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{{\\mathrm{O}}}

"}}] a8:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathbf{\\mathrm{O}}

"}}] 16c:T84b,

\displaystyle y = 2 \sqrt{x}

16d:T824,

\displaystyle y = \sqrt{x}

a9:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/743/image4-BX6TJBmkCkPzFA6VjzWG6aDET2rTDw.jpg","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"79cqw"}}],"\n",["$","span","p0-1-t3-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$16c"}}],"\n",["$","span","p0-1-t3-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$16d"}}],"\n","$L16e",""]}] 16f:T6ad,

\mathrm{A} _{\mathit{n}} B _{\mathit{n}}

170:T1628,

\displaystyle \sum\limits _{n = 1} ^{80} \frac{1}{\left( n + 1 \right) a _{n} + na _{n + 1}} = \frac{q}{p}

aa:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[" 선분 ",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$16f"}}],"의 길이를 ",["$","span","p0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a _{n}

"}}],"이라 할 때,\n\t\t",["$","span","p0-2-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$170"}}],"\n이다. ","$L171","의 값은? (단, ","$L172","와 ","$L173","는 서로소인 자연수이다.) [4점]\n① ","$L174","\n② ","$L175","\n③ ","$L176","\n④ ","$L177","\n⑤ ","$L178",""]}] 179:T8a1,

\displaystyle \sum\limits _{n = 1} ^{10} a _{n}

ad:["$","span","p0-0-t0-m7",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$179"}}] ae:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

375

"}}] af:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

380

"}}] b0:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

385

"}}] b1:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

390

"}}] b2:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

395

"}}] b4:["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

"}}] b5:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

g \\left( x \\right)

"}}] 17a:T6bc,

\displaystyle \frac{g ( x )}{f ( x )}

b6:["$","span","p0-0-t0-m7",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$17a"}}] b7:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

g \\left( 5 \\right)

"}}] b8:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

7

"}}] b9:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

8

"}}] ba:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

9

"}}] bb:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

10

"}}] bc:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

11

"}}] 17b:T464,

y = f \left( x \right)

bd:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/743/image6-aM0VUvxIlj1LEYzVwwgi8SXWwwuXWA.jpg","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"59cqw"}}],"\n",["$","span","p0-1-t3-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$17b"}}],""]}] c0:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\left( a > 1 \\right)

"}}] c1:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}] c2:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

y

"}}] c3:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{P}

"}}] c4:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{Q}

"}}] c5:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{B}

"}}] c6:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}] c7:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{B}'

"}}] c8:["$","span","p0-0-t0-m23",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{POQ}

"}}] 17c:T41d,

\mathrm{PB}' B

c9:["$","span","p0-0-t0-m25",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$17c"}}] 17d:T405,

S _{1}

ca:["$","span","p0-0-t0-m27",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$17d"}}] 17e:T405,

S _{2}

cb:["$","span","p0-0-t0-m29",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$17e"}}] 17f:T7a6,

S _{1} + S _{2}

cc:["$","span","p0-0-t0-m31",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$17f"}}] cd:["$","span","p0-0-t0-m33",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{O}

"}}] 180:Tab8,

\displaystyle \frac{2 - \sqrt{3}}{2}

ce:["$","span","p0-0-t0-m35",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$180"}}] 181:Tab8,

\displaystyle \frac{\sqrt{2} - 1}{2}

cf:["$","span","p0-0-t0-m37",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$181"}}] 182:T7f4,

\displaystyle 2 - \sqrt{3}

d0:["$","span","p0-0-t0-m39",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$182"}}] 183:Tab8,

\displaystyle \frac{\sqrt{3} - 1}{2}

d1:["$","span","p0-0-t0-m41",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$183"}}] 184:T7db,

\displaystyle \sqrt{2} - 1

d2:["$","span","p0-0-t0-m43",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$184"}}] d3:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/743/image8-o7HQBVHl5Mi5k8vRdf3LRjzOeQxNZj.jpg","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"74cqw"}}]]}] 185:T671,

\displaystyle y = \frac{1}{x}

d4:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["",["$","span","p0-2-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$185"}}],""]}] d6:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\cdots \\cdots

"}}] d7:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["<증명>\n(1) ",["$","span","p0-1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n = 1

"}}],"일 때,\n ",["$","span","p0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

( \\text{좌변} ) = 1

"}}],", ",["$","span","p0-1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

( \\text{우변} ) = 1

"}}],"이므로 (*)이 성립한다.\n(2) ",["$","span","p0-1-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n = m

"}}],"일 때, (*)이 성립한다고 가정하면\n ","$L186","\n 이다. ","$L187","일 때, (*)이 성립함을 보이자.\n ","$L188","\n ","$L189","\n ","$L18a","\n 이다. 한편 ","$L18b","이라고 하면\n ","$L18c","\n 이다.\n ","$L18d","\n ","$L18e","\n 이므로\n ","$L18f","\n 이다. 따라서\n ","$L190","","$L191","","$L192","\n 그러므로 ","$L193","일 때도 (*)이 성립한다.\n 따라서 모든 자연수 ","$L194","에 대하여 (*)이 성립한다."]}]

2016년-06월-고2-수학(가형)