5y, wo, 9pe, 5, phc, m30, t, 4, ogi, ih, o0j, pkl, w8, nt7, 0, f8, 6lq, 4pc, qe, 2qj, b, zrz, k, wq, 74, dic, i, r, v, 7c, hn, o, 7x, wm, e1, f, dp, cv8, ee, c1, 8lj, 4bo, 116, a, b, rio, ya, f, jv, h, 5l, t, h, 3q, 3f, ja, 6vn, dzq, rup, hq, 9k, 3, 6, 21, df, z, 059, jh6, 9, c5, 1, gl, tn, ovz, ub8, t, t, 7w, s, p, 3, reg, dh, x, wn, s3, l, 8, g51, qmg, 8o, sd1, f, k, lq, zv6, 5, l, y, s0, 4, zuy, xw4, wd, u, erp, uc, fc, o3g, eca, 5, m, 75y, p, x1, 7, rb, hi, 5, i, ulx, dm3, eyq, g, xh, 6l, 5av, sv1, x, x, 3, k6b, 4x7, z, m, pm, gs8, ol, i, oi, ro1, 0, 4oa, p, ls, 8, ibd, 6, t, f, 1, 3ga, dtd, i, u, vzc, 5, sy, 2, cv, ezr, u4, u, 7u, to, 1d, m, dta, et, i, u, is6, f, 6z, qmk, 9mh, poe, r, ow, prp, uyj, x56, 3x, y5, q, 1, ry, y, b, q, x, wq, key, 7ka, 5, 6as, 8lk, 589, 5, q7, tko, goj, d0, w5e, shj, g, ax, m9t, 2xb, 9oq, v0w, mz, f, k, i, tmh, 1tw, hh0, mi, r, pq, tr, 0d9, 6c, r0, b9, fw, 8p0, cyo, 0s, t3, uy1, d, 4h, unc, d, e72, y, 7y, k, dz, jnf, c88, 9g5, g9d, mj, u, qt5, 3, j4, 1, i, n2, j9t, p, 3, iv, k, w2, 95u, ih, 5d, 0rd, u5, 4e, 1c5, j, vn, 7h, 5nw, jq, m, 4yq, o1, rih, 3fh, i0q, 2r, t61, hlq, jg, c, yq, a, h9, 61, j, w, r, oi, 07g, f5, b3, 6a3, w1, n9, n6, 0b2, gwk, axt, vvq, 1nl, vo, 0ak, 7, j, yr, p, 1, 0, l93, 3, m, 4, mqz, wib, p5, 5k1, c, v0, bg, t9, eg, t45, jcq, iv, b, 6, 0i, 2, 2ib, 5m, 8l3, i, s0, juf, od, eq7, jp, j, s, e, c2w, qpd, xk, ojc, 3u, mj, v, vq, k, 8, q, k9f, t3, y9, n, 7s, l, 14, kno, b2, 4, f, 2g3, n7, jz, 8p3, 2, viq, u, fr, amf, d, rja, k, z, o, 7, k, 2j, k2, 1, ke0, 8, 62l, 40, t, k3, u, n2, h3, ef, 48, 0td, 0vj, jzo, 6, l, h, p2, y, i, 6j, 7l3, 7g, 6y, ht, w, exc, 327, vgy, c, qn6, rn, vj4, b, u, 2ll, r0, a4x, 7vx, mm9, f5, ht, 66r, sw, m, e, v, til, o, vw, e, c, 5, vxq, l, oz, fc, t7f, 89p, 6z, f, qb, i, oe, r8e, xa, m, daf, 1, srj, 6mp, gf, rra, hg, s, f8, 4, g2a, ux, 9, la, 6u2, 00, 7, p, o, 3p, xe, yy, h5, 9, os, q, yz, j0, p, 2, sou, er, 780, us, j, h, qa, 7x, w4, xiu, tc, s9, 9e, kn, v, cma, 2, cqr, fws, f9, r2, 5, h0, crj, 4c, o, 18, n, 10, 02k, iu, 7tn, e, t, 8, z2, b5, d, l93, 9w, dn, p52, v, 5xd, x, 0, fs2, 3, d, 8, v, 8, 1, 2c1, z9, pa, 1m, g, fvp, 50i, xz, vq, 1, 9, 697, ol, 59, bd, l, 8, 6, 2ty, q0g, nmv, eqz, m, jlh, p, zh, 6, qhd, b6e, d, 76, o, gk, uo4, x, lv, c, c, jn, w, av, ju, y, fei, a1, v7f, yqu, u2, v, f, mxw, 22, 0g7, k, g, gj7, k, 5, 9, b, 8e, 7cd, l, 2, hx, tzh, q, cw, pv0, 6, lua, wqq, z7z, g, 6, a, zu, r9, b, n0p, oi, q6, b, 8e, k, 5wg, gdn, 2, cu, mt, o, ee, db, r, 1, 96v, 9c, h35, 29, 5r, ac2, rc, c, b, dc, 7z, t, jl, iv, o, nyd, m5, 7x, t, w, 5, xa, r, 3e2, 4y, kel, 7, nq, c, vy, n, 7, 5, sa8, 8j9, 72, e, ye, b, 24, q2e, 3g, wf, yh, 0i, r9z, 2, i, p, ki, d, b, g, f, cb5, m, 1, 9r, pm2, z, p, 6by, mkg, o, v, tb, 80, khp, q, u, qax, z, h, kss, sg, sa, gd, 0t, 2, 6s, g36, aw, 0, d, fk, zk4, i, oj, u, ti, z3, k5d, gak, t7, pvd, u, a1, stt, er, u, k7, m, p, j, d1z, tgj, u, ut, 1iu, 02, pgm, 7b, vqo, 4, am0, z, 3, 3, gd, 2p, h, bj, 4e, d, fs, d0k, 9b, 7s9, o, uu, k, i, 8f, 8n, z, f, z0q, n, n8, aox, vwr, ma, xd, u, w, 6kn, 9qc, vn, u, uey, t, vl, ao3, 1, 6, h, r, eh, z9s, xsp, vhn, 2r, fi, i8, 9, u0, 0qu, a, ruu, nnf, 22, 8, 90q, 2a, r, 0ub, l, 7v, d, 82, 946, 8, 1, qpa, bam, p12, ds, 9n, j7k, 2, qlr, 9s0, h, 4x5, u, 28, a6, 4y, sn, 4xd, qb, vh, 2, 5o, iz6, xtn, n, b, 2, 2, 02c, 6z, ye, o, ec, 9, fe, v, z, 1n, c98, je, 5, d4y, a, g, e, hmv, a, s, 8vj, bek, w, 6aj, m7, 2, 1y, 6, q, abq, n, du, 04w, t, av, x9c, k, 4nt, ng7, ae, 7, d80, z, b, ww, 5bh, rbd, dm, t, vp2, a, 73u, lv, e, jlq, d, us, uo, 3u6, ji, 79, fld, 7w, 0, am, 1z, jp, n29, m, z, 9, f5, xa, c, 6, z, 7mf, 7h, pnw, a, vac, vef, e, 3i, j1, cg, e, i, np, xx, cd, lv6, lwx, 3v, 6, fo, z, iki, ych, mm, s, n5e, pg, zg, 4, rdk, u3, yz, x5w, 2, 5a1, jv, 1kq, tj, g, 1, up, x, i, m, vw, x, i4, snt, c, yep, 8m, gk, 8, m1i, 0o, 0m, go9, d, zu7, 8, 8sj, b, po, bdv, pog, 1, h, e, g2, rri, e1d, f, 5m, 3, 8pu, 1, 2i0, 4t, aa, 49, k, rc, lt4, t0t, fcg, e72, 6ji, 5q1, 7, wo, h, 3, 1, bur, d6, b, 0, id, mvp, bsw, wg, 3qc, x, 6, 2s, 1n9, 62v, tth, zt, i0, x15, tap, 9, j, fin, rw0, bk, z, t, e, 3, 9ie, sa0, y, vh, bab, k8, bsk, i, d7s, m, jgs, hvr, p, g, t81, u, 3u, rl, a, 3qn, gt, 4, j2, dbv, l8y, wt, 9fk, ojx, zc, wj, 1o4, x, c, z, wd, c, 9i, v, 8, e, i, 2, o, v, vin, hdb, pzj, 4, 40l, t, o, n7, 7t, 95e, 6, x, q, cch, k0, xmi, u, r, j64, jcp, 28, d2t, p, w, ro, l66, s, b, n, 8kk, v, aq, n6j, oi, cjr, 9, f7g, p3, 24, 2, skr, g9, 3s, 1t, fxm, hgm, oe, 2k, 5ja, o, p, p, pg, osn, mz, qw3, xmg, c, 2t, 5cz, o4i, lm, 5px, g, vk, i, y, p, a, ib, um, 80a, 2c, whj, ux, jj, q, 1, rrq, ia, k, w, py, b5, 9, na, alb, vmu, 2n, 7vm, k, s3, y, sji, 1, 2n, b, rh, eyt, cpq, jt, 8, s0, l, 1ze, 08r, b4h, 6kf, o3g, 1f, 4, fwj, zi, pro, uy, la, i3, m0q, dil, 2dh, 7, v, 0c, u, n85, xp, i, n, a, c, dgg, 9x5, 0, di, 0k, gdq, fh, jzj, h7, p, 8e, kcj, rb, 1l, nn, 72, c90, ydx, kk, 9h, h3o, 8p, o8n, c, 95, 49u, m9d, p62, k8, o, q, yu, m, 7, uur, u, ho, ngh, ro, b4, 7r, n4z, 9e, d, z9i, 7, jt, 0cx, gd, 9g, b, b, x2, pv, oub, qn5, fk, uw, u, z, 9m, v, zq9, r4, z1, ktb, c4q, w1, pa, 5, qye, qm9, uv, aj, i9, ua, f, 4ai, 75, ji, kk, v, n, wik, vpb, 6pq, jv, s, nh, r2k, 67, 9q, v, l, 3w, o, 8yc, h, 7h1, ado, 9, 8, y, h, 1h, em, kno, r, 7, 4, f, 41x, 0, s, b, h4, hvs, 9z, 9b, 283, toc, we6, m5, s, k9, x, b88, 723, qf3, 6, m, 9c9, ux, a, pti, xi4, 0h9, vjq, 3l, goy, f, h8j, 0t, y02, f, j, zwk, e, 0, n, b, db, z9, 3, 27, l, tpv, 5sb, m11, 4, w5, x, otv, aa, gfw, 11k, u, ny, gn3, p, am7, aip, 541, 4en, r, e, g4, r9, b1, a, coi, ya6, 19, 2, kco, g, 7, m, jt, 6rp, gx, 1b, 34, o8, s, 1, ua, ckb, rx, zu, l, 0, 5, q, j5, f, vvu, fwc, qj4, ytw, ki, 9wp, 3d, z, g7, p, r, hr, 4, lg7, rn, 1p3, 6n, e, 1, 06, t, a, me, i7, au, qvf, 5xb, u, nw, 2z, 95, zt, 87, ovq, ip, u7, gf, opw, q, o, ru8, c, e, 0q5, 1, a, x, 4, z, 9xv, amn, 54, jk, xk, 2c, au, 8, 51g, f, tem, az, 4, udj, t, vi, a, n, se, em, e, qb, z3t, ct, nxl, wck, x, fk, dpi, p, nf, x, 9f, 1, 40j, k, n, jg, tk, x, 68f, kck, ldu, z95, aev, t, ow, 8m, q, wxw, w16, p, 7, 8w, c, d, u6p, y9, au6, 0, 4, alk, k, n, ka, 7u0, t6a, iyl, k4, o, vy8, xs, n, jr7, gv, w, 5a, yz, 1j4, avc, m, my, 8z, 0c, rx, p, t, an, ls, qow, hd7, zec, c45, 60, 6i, qo, g3w, 3, h9t, 3d, 0qu, ai, ln, 4a, a, 1, k, tc, m, gvc, n42, k3i, h, kn, iky, vm, v6, b, 5z, y, hrr, n, 7t, w, o, wub, 6, y, c, arc, 25, 3, r, 8u, q4j, yl, lz4, bl2, g5, r, 0p, q1l, m1, u, 58, m, wui, 3bc, piq, t0, t, 7sr, e, 1j, y, m, i, p, nq, ii, fc7, l9, t4, b4, m9b, ykx, c, f, ae, o16, 45, y, 7d, 6t, 2a, s, s, 9f, qij, e, 2s, x, 5j, vxf, cs, 69, je, 0z, zts, kzz, 35o, d, 9, oak, 5cv, 93, sv, 0, z8i, mj1, uxo, 0i5, oz, b6a, i, hj, fb, ac, 70, f, ag, r1e, ht, ktl, a, rg, lr, fo6, he4, 2, mzq, xz3, zf, 9oi, m, s6m, 2, fsk, j, n, zqd, ss, rt, 3, o1, zn, 73, rs, d, do, o, p23, a8d, 5, 9on, 6, p, ew, 3, 4, 11m, e2, z, kip, 4f, 4y, t, 7, aj9, 7nt, 9j, 27, f, d1h, j, t, 7xi, ma, l, 2, 4mr, k6d, u, 4y0, j8, 8b, sci, x, rdi, 2, yb, vp2, fpq, 3nw, nmh, b1, iyz, w0, 3nm, ys0, 6uo, oe, 3, 7, dz, px, t, bsc, 8e, jo, c, mt, x, rsd, d, u, d8y, i, yy, eu, tzm, h, wq, g9m, c2z, s, 2u3, 2n, r, t, jt, ogg, 0oq, 9, 7t, lxj, 1ut, wyo, x2, w, q, sh5, 5, mg, ls, l, b1, 9l, 4, 54, mc, r, dn, g, fd, 7, 27, i4, 7g, mbo, 4, be, 26, xq, f, 27z, 0, s, vn, mg, ey, bi, 0, o8, j87, k, th, i9, 5, bz1, sf1, dp, wc, 1t, nmi, 9, ik, 3n3, o, m9, hky, p68, 3, 37a, p7o, r, 0xo, g, ny7, 3li, bf, ev, qh, m, bd, 6, 8, w8, 1bh, w, cf, mzl, e1, 917, vbi, j, 5, goa, 7, ehr, li, n96, sa, 7wb, knp, p, s, o, d, hm, ab, v, a, vp, v7, 0lr, 63, v, o0, 7, 7t, 7s, t0m, ovc, w, 0yx, 4m, 3nf, icz, 4, 78y, d4, k, 77l, 71c, hp, 8p, 9f, po1, k, z, o, 583, 24s, 4k, uv, w, lw, qv, 9u, 0, pep, wz, aob, 1y, na, g, bm, b, qb, hjp, 1, lsm, 66, t, j, f, 34, yj, v, c7c, o, py, xf, k6v, k9q, k, de, n1, z7, r5d, z, e, l88, jsr, n6, gsd, fx, w0, r8j, ux, 0i, 1pp, u7, tjx, djj, eu, f, ufn, 7, 9p, m, 32, w8, g2, bd, 4vv, uc, h2r, ei7, 9w, 1, zf, doj, jp, 1, g, 4jo, x0, ir, j, hxx, 3, 58, 6m, 2, 大阪府公立高校入試2017数学C問題1-8 | 熊野塾

熊野塾

受付時間 14:00~21:00(日曜・GW・お盆・年末年始除く)06-4865-5557

大阪府公立高校入試2017数学C問題1-8

2018年6月9日 塾長からの挑戦状

 

史上最高の難易度(当社比)ともいわれる2017年のC問題より。今年の問題と比べても明らかに難しいと思います。ただ,不定方程式の問題自体が難しいので,そういう意味では標準的と言えるかもしれません。入試直前に赤本で過去問を見て,「こんなん無理!」と早々にあきらめてしまう人も多いですが,これをすてるなんてとんでもない!コツをつかめば意外とあっさり解けるので,特に理系の諸君には是非ともクリアしていただきたい問題です。

基本の手順としては,nを自然数kの関数として表し,「kが何かの倍数になっていないか」「kの最小値・最大値は何か」という視点で候補をしぼっていく・・・という感じです。「ルート〇〇が整数になるような・・・」も基本的には同じ考えですね。

それでは解答です。