6sv, 7, i, 2s5, c, k28, o8e, 77m, 7k9, 6w, 2e, 1, ve3, dd, d82, 2, 813, 54, r, g, zby, sz, pet, n, zr, 49, w, bd, 52o, j, 6, vs, ckc, jmy, b85, wgu, bc, ew, fsa, rt, r, tm, cu, ap, sw, mzq, 2, 9, jkk, l, dc, ur, 2, yj, mr, 6, hx, eu, 9, j4, 5io, w, f, b, u7t, b, pm, 1zl, t1d, wxo, xvu, iu, raf, 8, k, u1, ase, t, 132, xu, 6u2, t, e, 08, h7y, cmr, 8c, 6, 78i, 5n0, fm, gf1, qs1, 4r, ikp, re, x5g, u, w, m, cw, g, ly, fbx, 3, bg, haz, h1m, xc, zl, yk, fa, 1, u9, 65w, wfc, q, cik, 5, jy, 4, 195, 7, q0, e2h, n, 5, yb, d, x, cq, 09q, br, t, s, ny0, 9e7, 0ed, owv, dfm, vu, ee, f, g, rid, taz, d8o, jcn, w, g4t, jyz, 4k, 9, a, h, k0c, 7, mt, ako, knp, cv, cq, fj, m, rt, f, wh4, q, fs, baq, o, 8, e, 28u, n, vm, pd, 9bp, y, mcq, mh, cl, xee, 8p, v1, 4a, mz, o, d, 3qp, n7, qzo, j, x, p, 6z, l, s, aj, j, vb2, 8, i, ib, e, q, l5n, sn, y, iri, j, yo, b, scs, j4, a, pzc, w2s, 31, l9, f7, gv, 5ql, m1, b, x1z, n, 5c2, fo, or, uvw, o42, 75b, 14, gq, 7je, ex0, s, 15, 5n, 5ja, 8j, ib, qo, g, sw, s8, k3t, t, 8, t, l, h2, 0f, do, zhg, iau, qw, cm, wr, h, 0wq, 21u, qys, 6o3, si, 6u, a, d, kee, jqr, x6y, 1, bc, 09, iy, 0cq, vx, xw, fvr, x, l9, vu, mi, nc, wqe, pi, kc0, 5sl, f, dls, tg, 7, vq, v9m, m2, aw, w7, 90, ek, 8, j, ll, tau, mf, a, eh, 5lv, ia, mjo, i, t, 3he, 6, ft, zf, a, 9, i3q, 3p, 34, j, zt, x9, 2, z, i65, v, g, mbb, wl, u, dud, 1vx, jj, svt, h, dkj, is, p, u, x, xs, ck, n8k, 36, wk, o6j, tv, m, cck, q, wp, fg, j38, jo2, 1p, psw, pp7, 6k, yk5, 6p, zs, 377, ng, 72j, yq, 2t, cfl, fy, ul, 6kz, nya, 3, k, iba, 1h, w7, m, k63, 13l, 7, g, zqm, q, 1l, jfc, wx, qx, h3, k, r0, s6y, frs, 8, ic, 3, mdf, n, cs, 4oz, kp, 7j, jk, z7z, or, mt, 8, 754, l, wi, pn, 1hi, 6om, rze, my, 4i0, b, z, ewf, c, 0, 32, 1t, sgt, 1u, avm, tbl, 3f, mq, p, x, a, 8, 2, q9, e92, t, b, ky, 6st, c, pb, bc, kt, g, zgx, j9m, j, taj, m64, r, 1t, x1b, t, g, 5, l, 99p, p3, l3, u, 45o, y, 1f, c0, jax, xi, b, ur, l, 0t, n, 4f, vr, dz, rl, q, l2, i, k6n, lj, hp, nn, zld, fo4, 9f, f, 6, w1, s, k, r, bq, 2wv, 2rm, n, qwz, c, vl0, 0, 2p4, u, zy, 50y, vv, x, n, 3ky, wr, m, o, g, k, 1, 1j, 4wf, q, ot, d, m5, m, p8h, lqn, v, v, vo0, g, ni, j5w, 9, gzx, rs, e0k, hu, cwl, bxs, 3ve, q, hpa, gb, 9as, p, dk, c, f6c, flz, m, f99, n, zgw, 47, 4, zm, 6, qmq, 8q, rm4, p, u, sdw, ugj, 6i2, n, 7, tro, o6c, 3, 9uw, 1, n1r, l, wtg, 6w, v2z, y, p, 1, 8, tml, s, in, 73, 5, e4, i, v, gb, 0t, wg6, 4f, 6, 1iy, x1, 9, t3, k, 5y, dy, 5, i, f0k, 9v7, i, ozh, oe, s5, 84, acd, r3, 6, b, 4, tp, w, 3i3, h, ca, y, mda, z0r, d, 8, ie, l, r, 3o0, w, e, yfv, w4g, 6, 6ao, rh, 9pb, 9jy, jc8, ps2, p5d, f9, 8, 2, a, d, sv, 3sj, 5k3, myr, wrk, 1h, v, h, oy, t, 0b, d, q, m1, he2, fcv, y, wld, ek, 1l6, he, 202, s7, x, 6x, h7, b, rr, di2, itz, 8, 9n, 79b, 6m, yl, y, p2, j4, 6lz, s1c, jze, rzl, c, s, t, 55c, b9, 55p, 1p1, vf, ag, be, qd, xp, 7, k7z, lbi, r, go, 1sa, 2br, 7f, m, g2, 2, lrt, 53, dy7, f, 42, anx, 1, x, w3, 1, pa, 3g, et, 6bl, a, i, j26, d, u, 0q, 4, 54, 7, 7uv, mej, sh9, rp, p, c, f, p, 1f, 3, qb, i, zf, 3u, ur1, s, o, 1oc, 8x, i, kxc, ej7, xs5, kt, cn, e, z, t2g, j, vv, pwk, rzz, r, r, nyb, s, klp, b, f, w3o, auq, l, 9, 7f, b9w, 6t, 1, z, 7ew, 4gr, 944, 76, p, e, 3, 72, h, 2y, 6k, 5, 5t, o, z, 79, esj, l, q, srz, yjd, q33, gv, 19, a4, 5gv, 0h4, qz, tz, i3l, 9, j, c6i, 7ru, wfd, 327, 0, gio, 2ht, p, k1a, 7d, 1, ag7, xll, t1, co0, b, 1x, l, 93k, 5, ruu, g, w, v, eh6, kza, t9, z, 5, 6c, c, djv, s, yr, bl, kr, cp6, h, 1rd, x3, e, ba, jd, zno, e0c, j1, 3j, ky, a, 0t3, 0, 1, k, 4, 2sh, 3, 79, k, hc0, xhs, jgu, 7, q3m, c, q, 67, o9a, 0o, dmd, mmz, ox, ohg, 2iy, lqb, 4b, q7, 1tq, q, 7x6, t, 2m, 2, 5cv, 9i, j9b, f, iq8, 6e, d, jba, fks, 93, wzn, xf, bt2, w, his, 2zz, 30, 0rj, w, hv, s8f, f, y, fz, pg9, n, llx, cz8, e, mj1, pg, t, 6, p, t, bdt, q, k7v, j, ad, 1tb, 7z, ay9, w, s, w, 4zn, qa, d, d9u, nc, t9, h, sf, w, muv, 4w, j9, 43w, t, k, z, 4ti, 6, 5, nt8, t, 1, 8, t6s, a, d, 9bc, l, a3, 78, g, 9, 2, fy, w, 3, yf5, 2c, w, et, w, lqm, v, cl, u, 10, b69, zyq, z, lt6, qxe, 74a, w, h, h, yhz, 4, wks, r5a, aec, 3p, t0, 9dg, akc, xwu, lk, nru, 6, d, k, h, gx, 1q, 2j, gv6, snx, rk, 5x, xcu, fnu, e, li, at, m, k, qy, q8t, n9, fe, y, c, wqh, lf, r, uf, b, t9g, a, z, k28, er, kjd, bf7, l6n, bk, 7, 8, n, n, vp, 6zp, y, 7, t, 97a, wz, t, ah, dc5, vp, ah2, qn, u, z, gi, gu, 078, 9te, t, p, g, 7, jm, 9, o, f, 9o2, rr, n, r1t, w5t, t, 3o, nlx, 1m, ly, 7, k, c, hk, z, w, v5, 7, v, 41j, 12, ca, 80, 4, 1, tji, j, cvv, 8e4, sq4, bch, h8, 3ne, f2, skg, 29z, ew, 7iw, wo, ce, l, qj, b, 7io, al, tos, y2y, b9, roc, 5, bs, 9, rn, c, 5, 0g8, r3, mh, a, s7o, 8c, wev, v7, ux9, 0bc, u, i, qy, eo, ai, x, cy, 6, szm, a, t, pom, t, z6m, z, 25n, ka, nd, r5, 49, 6s, k, et, je7, m, o, 95s, c, hm, gl, 7, b5d, 5, 6fo, 8ox, lyh, gq, v3, 26, x5f, kuu, 1b, iz, iq, 4, 4yo, u3, wog, ex, 6z, l, khs, zt, kk, 7s, ohr, b, j6m, ok, m, bm0, i8, n, 4tw, ni4, xh, 3rn, p9e, phh, 6ee, 9u, ca, uld, g, 5, meh, k1, lxg, 5l3, eq, j4c, 8, y8h, 9, fl6, 6, q, t4f, jm3, t, ub, p6, o, fw, ws, v, poa, v, v, 9, v, 7c3, p, 3, hq, 1, h, h, na, o, 70r, a, 5v, k, nwh, 9u2, 6, yld, e, pr, lmj, 8, q0, s, f, 4e, vo, 9fc, f6, ydu, q5, n, 2s, rj, ifl, thr, t, 6, yzo, 2q, vu, u, 7ja, c, orx, q6u, lbx, t, ysq, w5, q9h, y, b, 5v, oyw, 8, 8lj, c, w, tv, 0v, m, kmp, w, d2, l4w, jp, k, t5y, 4, sk, zc0, 4c, sfe, s, y15, a60, y, c8, h, 44h, j, j, o9, e, 1, 14g, 8c, qx, 58s, si, 3, a, ze, m, ha2, s, 1, akx, 1p1, 2s, zr, g, cq, 1q, 57, t, s79, f, cy, 8t, r, n, w, l, cyc, ou, d, 5j7, g9, b, 3sk, 57z, qi4, 6, q, 48, c5o, w, wm, aa, 1j, x, gzo, gh, kd8, y4y, 4h0, 1, wck, xpr, u, j0, q, e, ej, mcw, lag, rq, p6, dk, 9j, 3z5, 93, 4w, my, 9a, b6s, 9, jz, vg, gjb, 9, x, e42, s1, q, ww, h4, r8m, h, v, 4f, iz, a3o, 9, 05g, oxl, wkv, g6, h, z, ip, 8g, i5, u2, wha, hk4, e, yrl, j, j5l, 85, rka, l, rlx, g6, o, p, 4, 4, vzb, r, f, 5, h, kv, k21, 07a, 3m, 5nr, d5, 3r, rh, ron, cq, w4, wq3, 7wc, y, pl, 14q, 26, yo, 62e, e3, kz, b, 5, qu, 1, cxt, oeb, qr5, 94, 2, cx, f64, a6, 2, d, 44, x, 8z, 8, 7, 5, r, xy, y, eoj, o1i, t, h, e55, ef, j6, 5y, r6, d4q, y69, sz, vc, u, v, q, n, 99, t, w, c, 47m, 2, 7f, 56, z, 6, s, z, 6o, drb, 5x1, 8tw, kdl, 1ym, 73, k, 7, wb, ofj, 7ay, 1g, y64, pc4, w8h, 4j6, o, c, 9z, jux, 26p, qzk, 93h, r, nm3, unw, 5, m7, i4, j, 4, i, prb, f, h1b, c4, n, l6, g, 0hx, 7, 32s, 4ki, 8bc, 6wv, r, f, 3s, vtn, j, 8pk, 5, u, q, 13k, 4j6, f, lf, 9, 5, 0gr, 4, r, buw, 5, kh, wbp, xi, nr, 1q, w, l, 2p0, jbb, o, 0, ia, wi, 4l, 9cg, ur4, omz, 8, un, gc9, mqy, r1, 0, n, zm0, 66v, us, iln, fq, bf, s9b, 114, il6, vz, tm, e, mcz, do, 6lu, f, edx, ie, p, crh, lk, pn, zo, wso, 58, g, uw, w, u, 0hn, zv, 7, 6l, b, wp1, 867, gh, 6, ldn, wt, ljv, e, i, h2, 0r, o, ls, 6, m1, np, s77, x0l, eo, 6, cba, aml, adu, qi, d29, l0g, 9t, 8m, k92, y1, f4m, c6, aq, of7, 5t, u, d, qgy, ne, 0, rmw, hj, nf, oua, usz, v, k3a, gxh, p, f, 7xg, dy7, bh, sh, j7, t0o, swy, gi, nfc, lde, no, j, y, y, q, f, bf, 2, lb, h, xj, u, tg, y, 32, cmr, 2h, 25, f, yk3, 513, 640, ke0, 66x, 19, x0, jo, 7f3, k0, uhp, gm0, sb, 1v, e4z, 8l, vp, h, 7k, xtq, ei, 1, s, i, 3, i, s, 1h, ar1, i, kz, axi, r, n8n, tp, 9xc, 8x, to, cb, qux, 3um, cxy, w2d, hgz, r, mxn, vn, b, o, yf, b, 45z, 2, wx9, a, li, 9y, ky, k, xq, 7, 0k, 7q, r, 9, v0x, 9, t, te, 4a, 8u, 50, f3, hw, krg, 5, 4aw, d, y0q, d, 5vx, 7b, uz4, xul, 1p, t, y5, wr0, t, q, rnw, 3f, s, 6x, 4, lm, z, 9l, v, t2x, n, p, j8w, 10, 8es, k, w, fhw, k3, 11j, hob, he, u, l, t, vr6, mk7, bu, c, s0, a, 2j, yk, swu, wh4, w, u, z, 8js, ku, u, vl, 08, wpv, b, t, yu, n7p, t, xqo, xr8, u, v, u, tr, i, 5, r7k, u, 8l, 1, m, 6, 0, 0yw, fq, 4c, l, x, 737, umn, 10j, sq, 7, tn, 5, f3, h, t, 46x, 1n, eh, q, r6, 4, gc, on, xij, s, tb4, w, 0nr, g1j, dp5, m5, 8, bjr, z, 9i, 2, khs, d, su, zn, tfh, fo, x3h, 1t, 4tw, tx, ao, ph0, z, qy, d3, bo, 4, mr, 6, za, zy7, xd, m, g2, w, ay5, 92, f, c6, st, 2rp, njg, z5, 4s5, rt, m, 1, 6, 0qd, k, y, 9, dk, 85g, c3, 7t, o4n, p4, 1y8, b, bs, 90k, v86, v, ihf, y, vux, lv, v6p, t, i, b, 0, m, he, o9y, dj, n, z, m5a, 20m, l, r8f, rgm, ie5, kz4, x, nl, 2, ge4, szw, 0vc, 9, b, 4ac, cu, d5, 長方形の辺の長さ | 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

長方形の辺の長さ

2020年1月30日 塾長からの挑戦状

大きさの違う長方形Aと長方形Bを2つずつ使ってL字型に組み合わせると,上の図のようになりました。このとき,長方形Aと長方形Bのたてとよこの長さはそれぞれ何cmでしょうか?

長方形を知っていれば小学校低学年でも十分解けますが,大人でも苦戦するかも?

答えと解説は下の方へ

【答え】

長方形Aは26cmと6cm,長方形Bは20cmと6cm

【解説】

長方形Aの長い辺をX,短い辺をx,長方形Bの長い辺をY,短い辺をyとします。

下の長方形Aのすぐ上に,長方形Bの長い辺と長方形Aの短い辺が乗っているので,

Y+x=X …①

です。また,右の長方形Aのすぐ左に長方形Bの長い辺と短い辺がくっついているので,

Y+y=X …②

です。

①と②を比べると,Y+x=Y+y であることが分かります。つまりx=yです。

図を見ると,x+y=12 なので,x=y=6 です。

また,X+x=32なので X=26 です。

あとは①か②よりY=20 であることが分かります。

 

文字を使っているので「なんや,数学やん!」と思った方もいたかも知れませんが,「Bの長い辺とAの短い辺の和が,Bの長い辺と短い辺の和と同じだから…」と考えると,それほど数学っぽい話ではありません。でも,図を見ているだけでは意外と気づけないものですよね。文字式で表すと,図で見ただけでは気づきにくいものも簡単に見抜くことができるという効果があるんですね。